Beckmann Sample, near normal, slope_x

Time bar (total: 10.5s)

start0.0ms (0%)

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

analyze364.0ms (3.5%)

Memory
-32.9MiB live, 498.3MiB allocated; 143ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 37 to 24 computations (35.1% saved)

sample2.5s (23.4%)

Memory
46.9MiB live, 3 087.5MiB allocated; 485ms collecting garbage
Samples
1.9s8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
const: 422.0ms (27.5% of total)
ival-log: 262.0ms (17.1% of total)
ival-<=: 234.0ms (15.3% of total)
ival-cosu: 198.0ms (12.9% of total)
ival-sub: 117.0ms (7.6% of total)
ival-neg: 89.0ms (5.8% of total)
ival-mult: 78.0ms (5.1% of total)
ival-sqrt: 58.0ms (3.8% of total)
ival-and: 33.0ms (2.2% of total)
ival->: 33.0ms (2.2% of total)
exact: 6.0ms (0.4% of total)
adjust: 3.0ms (0.2% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain179.0ms (1.7%)

Memory
-16.3MiB live, 223.5MiB allocated; 12ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2011(0.999965488910675 0.002741156844422221 7.371736955974484e-6)5(0.9999585151672363 0.015072865411639214 2.7513468012330122e-5)(log.f32 (-.f32 #s(literal 1 binary32) u1))
10-0-(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
00-0-u2
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-#s(literal 1 binary32)
00-0-(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
00-0-u1
00-0-(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
00-0-(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (-.f32 #s(literal 1 binary32) u1))sensitivity19716
cos.f32(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))sensitivity10
Confusion
Predicted +Predicted -
+1901
-857
Precision
0.9595959595959596
Recall
0.9947643979057592
Confusion?
Predicted +Predicted MaybePredicted -
+19010
-81443
Precision?
0.8967136150234741
Recall?
1.0
Freqs
test
numberfreq
058
1198
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
63.0ms512×0valid
Compiler

Compiled 117 to 46 computations (60.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-cosu: 16.0ms (37.4% of total)
ival-mult: 9.0ms (21% of total)
ival-log: 7.0ms (16.4% of total)
ival-sqrt: 3.0ms (7% of total)
ival-pi: 2.0ms (4.7% of total)
ival-sub: 2.0ms (4.7% of total)
ival-neg: 2.0ms (4.7% of total)
exact: 1.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess232.0ms (2.2%)

Memory
18.3MiB live, 245.3MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042122
192122
2205122
3586120
41899120
56128120
01313
02213
13613
26913
319813
464913
5302413
6729513
0817412
Stop Event
iter limit
node limit
iter limit
node 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)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 13 to 14 computations (-7.7% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(*.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 13 to 14 computations (-7.7% saved)

simplify171.0ms (1.6%)

Memory
6.0MiB live, 152.7MiB allocated; 38ms collecting garbage
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-diff1
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
02250
13650
26950
319850
464950
5302450
6729550
0817446
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize35.0ms (0.3%)

Memory
12.3MiB live, 58.6MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.10789506294247907
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
accuracy0.16015625
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.33984375
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy14.408340915190976
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Samples
27.0ms256×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cosu: 5.0ms (27.2% of total)
ival-mult: 4.0ms (21.8% of total)
ival-log: 4.0ms (21.8% of total)
ival-sqrt: 2.0ms (10.9% of total)
ival-pi: 1.0ms (5.4% of total)
ival-sub: 1.0ms (5.4% of total)
ival-neg: 1.0ms (5.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series57.0ms (0.5%)

Memory
7.9MiB live, 105.5MiB allocated; 9ms collecting garbage
Counts
6 → 59
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
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(cos (* 2 (* u2 (PI))))
Calls

9 calls:

TimeVariablePointExpression
35.0ms
u2
@inf
((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
7.0ms
u2
@-inf
((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
5.0ms
u1
@-inf
((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms
u2
@0
((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))
3.0ms
u1
@inf
((log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (* 2 (PI)) u2) (cos (* (* 2 (PI)) u2)))

simplify145.0ms (1.4%)

Memory
-30.5MiB live, 203.8MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03061647
110511359
246411348
083861282
Stop Event
iter limit
node limit
Counts
59 → 58
Calls
Call 1
Inputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(cos (* 2 (* u2 (PI))))
Outputs
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal -1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32)) u1)
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1/4 binary32) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(+ (* (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 #s(literal -2 binary32) (*.f32 (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 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(+ (* (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 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) #s(literal -1 binary32)) (sqrt.f32 u1) (*.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))) u1)) (*.f32 u1 u1)))
(* (sqrt u1) (pow (sqrt -1) 2))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/4 binary32) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/4 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(-.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal -1 binary32)) u1))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (-.f32 (log.f32 u1) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal -1/2 binary32)) u1) #s(literal -1 binary32)) u1)) (log.f32 #s(literal -1 binary32)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(+ (* -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 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) (sqrt.f32 #s(literal -1 binary32)) (*.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 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))))
(+ (* -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 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1/2 binary32) (*.f32 (/.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 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 u1 u1)) #s(literal -1/2 binary32))) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(+ (* -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 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal -1/3 binary32)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1/2 binary32) (*.f32 (/.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 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 u1 u1)) #s(literal -1/2 binary32))) (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 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 u1 u1)))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))) (fma.f32 (*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) #s(literal -1/3 binary32)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 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 u1 u1)))) (*.f32 (sqrt.f32 (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 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) u1) #s(literal -1 binary32)) u1) (+.f32 (log.f32 u1) (log.f32 #s(literal -1 binary32))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) u1) #s(literal -1/2 binary32)) u1) #s(literal -1 binary32)) u1) (log.f32 u1)) (log.f32 #s(literal -1 binary32)))
(* -1 (log (/ -1 u1)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal 1 binary32) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) u1) (log.f32 (/.f32 #s(literal -1 binary32) u1)))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(*.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) u1)) #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #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 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) u1)))) u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))) #s(literal -1 binary32) (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32) #s(literal 1/3 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) u1)))) u1))) (neg.f32 u1)))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)) u1) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/2 binary32) #s(literal 1/3 binary32)) u1))) u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal 1/2 binary32))) (neg.f32 u1)))
(log (/ -1 u1))
(log.f32 (/.f32 #s(literal -1 binary32) u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal 1 binary32) u1))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) u1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/3 binary32) u1) #s(literal 1/2 binary32)) u1) #s(literal 1 binary32)) 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 (*.f32 u2 u2) #s(literal -2 binary32)) (*.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 #s(literal 2/3 binary32) (*.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (PI.f32) (PI.f32))))) (*.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 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (*.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 #s(literal -4/45 binary32) (*.f32 u2 u2)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sqrt.f32 #s(literal -1 binary32))))))))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 (PI.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 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 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 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.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 u2 u2) #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 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))

rewrite52.0ms (0.5%)

Memory
2.4MiB live, 95.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
02239
16739
039239
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
6 → 31
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 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 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 2 binary32) u2))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 u2 (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 u2 (PI.f32)))
(fma.f32 u2 (PI.f32) (*.f32 u2 (PI.f32)))
(fma.f32 (PI.f32) u2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(cos.f32 (neg.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))))
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32))))

eval9.0ms (0.1%)

Memory
29.4MiB live, 29.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 592 to 494 computations (80.9% saved)

prune66.0ms (0.6%)

Memory
-12.7MiB live, 73.1MiB allocated; 58ms collecting garbage
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New761389
Fresh000
Picked011
Done000
Total761490
Accuracy
99.3%
Counts
90 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.6%
(*.f32 (*.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
97.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.7%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
56.7%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
56.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
56.7%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #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))))
49.4%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
76.2%
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
54.8%
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.0%
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.1%
(*.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)))
87.3%
(*.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)))
Compiler

Compiled 525 to 468 computations (10.9% saved)

simplify792.0ms (7.5%)

Memory
-212.5MiB live, 195.8MiB allocated; 1.1s collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
cost-diff0
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff1
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff2
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
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)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
cost-diff1
(log.f32 (-.f32 #s(literal 1 binary32) u1))
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-diff1
(log.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
cost-diff0
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047360
088357
1145357
2307357
31086357
43011357
57176357
08075341
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
u1
(log1p.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 (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 (neg.f32 (log.f32 (-.f32 #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))))
(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)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 u2 u2) #s(literal -2 binary32))
(*.f32 u2 u2)
u2
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 u1 #s(literal 3 binary32))
u1
#s(literal 3 binary32)
(log1p.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
u1
(log1p.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.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 (neg.f32 (log.f32 (-.f32 #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 (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 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)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))
(*.f32 (*.f32 u2 u2) #s(literal -2 binary32))
(*.f32 #s(literal -2 binary32) (*.f32 u2 u2))
(*.f32 u2 u2)
u2
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
u1
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
(neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 u1 #s(literal 3 binary32))
u1
#s(literal 3 binary32)
(log1p.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize253.0ms (2.4%)

Memory
8.7MiB live, 243.9MiB allocated; 22ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16015625
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.2890625
(log1p.f32 (fma.f32 u1 u1 u1))
accuracy0.33984375
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy23.505677111679415
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
accuracy0.1484375
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy0.16015625
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.33984375
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy15.373747778299695
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
accuracy0.16015625
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #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))))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy3.0823058203676283
#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)))
accuracy14.408340915190976
(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.1015625
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.16015625
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
accuracy6.366037524612924
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy14.408340915190976
(log.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.15625
(log1p.f32 (*.f32 (neg.f32 u1) u1))
accuracy0.16015625
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.2734375
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
accuracy0.33984375
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Samples
147.0ms147×1valid
37.0ms109×0valid
Compiler

Compiled 373 to 45 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-mult: 39.0ms (27.7% of total)
ival-pow: 30.0ms (21.3% of total)
ival-log: 19.0ms (13.5% of total)
adjust: 13.0ms (9.2% of total)
ival-sqrt: 9.0ms (6.4% of total)
ival-log1p: 8.0ms (5.7% of total)
ival-sub: 6.0ms (4.3% of total)
ival-neg: 6.0ms (4.3% of total)
ival-cosu: 4.0ms (2.8% of total)
ival-div: 3.0ms (2.1% of total)
ival-add: 3.0ms (2.1% 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)

series294.0ms (2.8%)

Memory
17.1MiB live, 240.4MiB allocated; 67ms collecting garbage
Counts
23 → 204
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.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 (neg.f32 (log.f32 (-.f32 #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))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(log1p.f32 (*.f32 (neg.f32 u1) u1))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (PI.f32))
(log1p.f32 (fma.f32 u1 u1 u1))
Outputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (* -1/2 (pow u1 3)) 1))
(* (pow u1 3) (- (* (pow u1 3) (- (* -1/3 (pow u1 3)) 1/2)) 1))
(* (pow u1 3) (- (* (pow u1 3) (- (* (pow u1 3) (- (* -1/4 (pow u1 3)) 1/3)) 1/2)) 1))
(* -1 (pow u1 2))
(* (pow u1 2) (- (* -1/2 (pow u1 2)) 1))
(* (pow u1 2) (- (* (pow u1 2) (- (* -1/3 (pow u1 2)) 1/2)) 1))
(* (pow u1 2) (- (* (pow u1 2) (- (* (pow u1 2) (- (* -1/4 (pow u1 2)) 1/3)) 1/2)) 1))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 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))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 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 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 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))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))
(+ (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))))))))))
(+ (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 (* (/ (- 1/2 (* 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))) (+ (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))))))))))))
(- (* -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)))))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (+ (* -1 (log (/ 1 u1))) (/ 1 u1)))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+ (log -1) (log (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (/ 1 u1)))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))))
(+ (log -1) (+ (log (/ 1 u1)) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1)))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1))))))))
(sqrt (+ (log -1) (log (/ 1 u1))))
(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))
(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1)))))))))
(+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1)))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(+ (log -1) (* -3 (log (/ 1 u1))))
(- (+ (log -1) (* -3 (log (/ 1 u1)))) (/ 1 (pow u1 3)))
(+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u1 3)))) (pow u1 3)))))
(- (+ (log -1) (+ (* -3 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u1 3)))) (pow u1 6))))) (/ 1 (pow u1 3)))
(* (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))))))))))
(sqrt (- (* -2 (log (/ 1 u1))) (+ (log -1) (* -3 (log (/ 1 u1))))))
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Calls

9 calls:

TimeVariablePointExpression
166.0ms
u2
@inf
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72.0ms
u2
@-inf
((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (log (- 1 (pow u1 3))) (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1))))) (* (* 2 (PI)) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (+ 1 (+ (* u1 u1) u1))))
24.0ms
u1
@-inf
((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (log (- 1 (pow u1 3))) (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1))))) (* (* 2 (PI)) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (+ 1 (+ (* u1 u1) u1))))
11.0ms
u1
@0
((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (log (- 1 (pow u1 3))) (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1))))) (* (* 2 (PI)) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (+ 1 (+ (* u1 u1) u1))))
10.0ms
u1
@inf
((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (log (- 1 u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (neg (log (- 1 u1))) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (log (/ 1 (- 1 u1))) (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (log (- 1 (pow u1 3))) (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1))))) (* (* 2 (PI)) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (cos (* (* 2 (PI)) u2)) (* (PI) (PI)) (log (+ 1 (+ (* u1 u1) u1))))

simplify327.0ms (3.1%)

Memory
-9.9MiB live, 324.3MiB allocated; 87ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08776412
130695207
092394986
Stop Event
iter limit
node limit
Counts
204 → 203
Calls
Call 1
Inputs
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u1
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1
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(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(cos (* 2 (* u2 (PI))))
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))

rewrite99.0ms (0.9%)

Memory
5.3MiB live, 151.6MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047227
088184
1268184
01787184
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
23 → 178
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.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 (neg.f32 (log.f32 (-.f32 #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))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(log1p.f32 (*.f32 (neg.f32 u1) u1))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (PI.f32) (PI.f32))
(log1p.f32 (fma.f32 u1 u1 u1))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal -1 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)) (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 0 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)) (log.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 0 binary32) (log.f32 (-.f32 #s(literal 1 binary32) 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)))) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(/.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)))) (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)))) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)))) (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))) (neg.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 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))) (neg.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (neg.f32 (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 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))) (neg.f32 (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 0 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (log1p.f32 u1))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) 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 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(/.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 (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 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))) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 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))) (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))))
(-.f32 (/.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))) (/.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))))
(-.f32 (/.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(log.f32 (-.f32 #s(literal 1 binary32) 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 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(/.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 (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 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))) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 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))) (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
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(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (log1p.f32 u1))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 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 2 binary32) u2))
(*.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 u2 (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 u2 (PI.f32)))
(fma.f32 u2 (PI.f32) (*.f32 u2 (PI.f32)))
(fma.f32 (PI.f32) u2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))
(log.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1)))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 6 binary32)))) (log1p.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 (neg.f32 u1) u1))))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (neg.f32 (neg.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(fabs.f32 (*.f32 (PI.f32) (PI.f32)))
(exp.f32 (+.f32 (log.f32 (PI.f32)) (log.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(log.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(-.f32 (log1p.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(log1p.f32 (fma.f32 u1 u1 u1))

eval37.0ms (0.4%)

Memory
24.6MiB live, 69.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 13 170 to 1 599 computations (87.9% saved)

prune46.0ms (0.4%)

Memory
-11.5MiB live, 84.7MiB allocated; 10ms collecting garbage
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New32529354
Fresh538
Picked235
Done011
Total33236368
Accuracy
99.7%
Counts
368 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.6%
(*.f32 (*.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.8%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (neg.f32 (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 u2 (PI.f32)))))
91.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
97.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (log1p.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
97.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 u2 (PI.f32)))))
97.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (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 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
95.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
95.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/3 binary32) u1) u1 #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
90.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.7%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
56.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
56.7%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #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))))
54.8%
(*.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)))
53.1%
(*.f32 (sqrt.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.0%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.1%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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)))
87.3%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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)))
92.6%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.9%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.5%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.2%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.5%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
4.8%
(*.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)))
80.3%
#s(approx (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
94.9%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.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)))))))
93.2%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) u2) u2))) (*.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
89.9%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (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 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))))
90.1%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
98.9%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
80.4%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
49.4%
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
Compiler

Compiled 2 170 to 1 726 computations (20.5% saved)

simplify152.0ms (1.4%)

Memory
18.2MiB live, 204.7MiB allocated; 54ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff1
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))
cost-diff0
(neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1)))
cost-diff0
(sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff1
(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32))
cost-diff0
(log1p.f32 u1)
cost-diff0
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
cost-diff0
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
cost-diff0
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
cost-diff0
(*.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)))
cost-diff1
(*.f32 #s(literal -1 binary32) (sqrt.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 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
cost-diff0
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067492
0107489
1155489
2237489
3461489
41060489
54201489
08116473
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (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 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))
#s(literal -2 binary32)
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(*.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)))
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
#s(literal -1 binary32)
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1)))
(-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1))
#s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1))
(*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1)
(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1)
(*.f32 #s(literal -1/2 binary32) u1)
#s(literal -1/2 binary32)
u1
#s(literal 1 binary32)
(log1p.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 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))))
(neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1)))
(-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))
#s(literal 1 binary32)
(pow.f32 u1 #s(literal 4 binary32))
u1
#s(literal 4 binary32)
(log1p.f32 (*.f32 u1 u1))
(*.f32 u1 u1)
(log1p.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
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))
(cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(*.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 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(neg.f32 (sqrt.f32 u1))
#s(literal -1 binary32)
(sqrt.f32 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))))
(sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1))))
(sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1)))
(neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))
(-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1))
(-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1))
#s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1))
#s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1))
(*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)
(*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1)
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1)
(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32))
(*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1)
(*.f32 #s(literal -1/2 binary32) u1)
#s(literal -1/2 binary32)
u1
#s(literal 1 binary32)
(log1p.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32)))) (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32)))) (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))))
(neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1)))
(neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32)))) (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))
(-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32)))) (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1)))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))
(log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 4 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))
#s(literal 1 binary32)
(pow.f32 u1 #s(literal 4 binary32))
u1
#s(literal 4 binary32)
(log1p.f32 (*.f32 u1 u1))
(*.f32 u1 u1)
(log1p.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize264.0ms (2.5%)

Memory
14.3MiB live, 437.5MiB allocated; 83ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16015625
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
accuracy0.2734375
(-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
accuracy0.33984375
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy24.056397594581036
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))
accuracy0.16796875
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1)
accuracy0.2734375
(-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1))
accuracy0.33984375
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy2.2400108233176823
#s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1))
accuracy0.1015625
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
accuracy0.15625
(log1p.f32 (*.f32 (neg.f32 u1) u1))
accuracy0.2734375
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
accuracy6.192364248631936
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
accuracy0.0
(sqrt.f32 u1)
accuracy0.16015625
(*.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)))
accuracy6.366037524612924
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
accuracy30.89304831663543
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
accuracy0.15625
(log1p.f32 (*.f32 (neg.f32 u1) u1))
accuracy0.16015625
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
accuracy0.2734375
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
accuracy0.33984375
(*.f32 (PI.f32) u2)
Samples
155.0ms175×1valid
36.0ms81×0valid
Compiler

Compiled 471 to 51 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
adjust: 30.0ms (20.3% of total)
ival-mult: 28.0ms (19% of total)
ival-log: 22.0ms (14.9% of total)
ival-sqrt: 16.0ms (10.8% of total)
ival-sub: 13.0ms (8.8% of total)
ival-pow: 11.0ms (7.5% of total)
ival-log1p: 10.0ms (6.8% of total)
ival-neg: 7.0ms (4.7% of total)
ival-cos: 4.0ms (2.7% of total)
ival-cosu: 4.0ms (2.7% 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)

series302.0ms (2.9%)

Memory
-21.9MiB live, 357.6MiB allocated; 66ms collecting garbage
Counts
26 → 183
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (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)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.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)))
#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
(sqrt.f32 u1)
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(log1p.f32 u1)
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(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
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(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)))))))))
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(* (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)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))
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(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ (* -2 (log (/ -1 u1))) (* -1 (log (/ -1 u1)))) (* -4 (log (/ -1 u1))))))
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(sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))
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(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))
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(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(sqrt (- (+ (log (+ 1 u1)) (log (+ 1 (pow u1 2)))) (log (- 1 (pow u1 4)))))
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(+ (sqrt (- (+ (log (+ 1 u1)) (log (+ 1 (pow u1 2)))) (log (- 1 (pow u1 4))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (+ (log (+ 1 u1)) (log (+ 1 (pow u1 2)))) (log (- 1 (pow u1 4))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (+ (log (+ 1 u1)) (log (+ 1 (pow u1 2)))) (log (- 1 (pow u1 4))))))))))
(+ (sqrt (- (+ (log (+ 1 u1)) (log (+ 1 (pow u1 2)))) (log (- 1 (pow u1 4))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (+ (log (+ 1 u1)) (log (+ 1 (pow u1 2)))) (log (- 1 (pow u1 4))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (+ (log (+ 1 u1)) (log (+ 1 (pow u1 2)))) (log (- 1 (pow u1 4))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (+ (log (+ 1 u1)) (log (+ 1 (pow u1 2)))) (log (- 1 (pow u1 4))))))))))))
(* u2 (PI))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* u2 (PI)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* -2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (+ (log (+ 1 u1)) (log (+ 1 (pow u1 2)))) (log (- 1 (pow u1 4))))))
(cos (* 2 (* u2 (PI))))
Calls

9 calls:

TimeVariablePointExpression
161.0ms
u2
@inf
((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* -2 (* (PI) u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (log (+ 1 u1)) (- (* (* -1/2 u1) u1) 1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (log (- 1 (pow u1 4))) (* (sqrt (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))) (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (* (PI) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (* 2 (PI)) u2) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (* (- (* (* -1/2 u1) u1) 1) u1) (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))
47.0ms
cosTheta_i
@0
((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* -2 (* (PI) u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (log (+ 1 u1)) (- (* (* -1/2 u1) u1) 1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (log (- 1 (pow u1 4))) (* (sqrt (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))) (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (* (PI) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (* 2 (PI)) u2) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (* (- (* (* -1/2 u1) u1) 1) u1) (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))
47.0ms
u2
@-inf
((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* -2 (* (PI) u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (log (+ 1 u1)) (- (* (* -1/2 u1) u1) 1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (log (- 1 (pow u1 4))) (* (sqrt (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))) (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (* (PI) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (* 2 (PI)) u2) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (* (- (* (* -1/2 u1) u1) 1) u1) (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))
20.0ms
u1
@inf
((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* -2 (* (PI) u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (log (+ 1 u1)) (- (* (* -1/2 u1) u1) 1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (log (- 1 (pow u1 4))) (* (sqrt (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))) (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (* (PI) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (* 2 (PI)) u2) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (* (- (* (* -1/2 u1) u1) 1) u1) (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))
10.0ms
u1
@0
((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (cos (* -2 (* (PI) u2)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (* -1 (sqrt u1)) (* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (log (- 1 u1)))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (log (+ 1 u1)) (- (* (* -1/2 u1) u1) 1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (log (- 1 (pow u1 4))) (* (sqrt (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))) (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1)))) (* (PI) u2) (log (+ 1 (* (neg u1) u1))) (cos (* (* 2 (PI)) u2)) (log (+ 1 (* (neg u1) u1))) (* (* 2 (PI)) u2) (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))) (* (- (* (* -1/2 u1) u1) 1) u1) (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))

simplify201.0ms (1.9%)

Memory
-3.5MiB live, 226.6MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08185992
127974861
092044639
Stop Event
iter limit
node limit
Counts
183 → 182
Calls
Call 1
Inputs
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(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
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u1
(* u1 (+ 1 (* 1/2 u1)))
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-1
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1
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rewrite79.0ms (0.7%)

Memory
20.1MiB live, 120.3MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067353
0107342
1300302
01880295
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
26 → 142
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
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#s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)))
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(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1))))
(neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))))
(neg.f32 (-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1)))
(*.f32 (PI.f32) u2)
(log1p.f32 (*.f32 (neg.f32 u1) u1))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1))
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1)
(-.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(*.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #s(literal 1/4 binary32)) (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) #s(literal 1/2 binary32)))
(log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32))) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))) (/.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(neg.f32 (sqrt.f32 u1))
(*.f32 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)) #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(log.f32 (-.f32 u1 #s(literal -1 binary32)))
(-.f32 (log1p.f32 (pow.f32 u1 #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 u1 u1) u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log1p.f32 u1)
(/.f32 (neg.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)) #s(literal -1 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal 1 binary32)))
(/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32)) (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal 1 binary32))))
(-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal 1 binary32))))
(-.f32 (/.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32))) (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (fabs.f32 u1)) (fabs.f32 u1) #s(literal -1 binary32))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (neg.f32 u1)) (neg.f32 u1) #s(literal -1 binary32))
(fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32))
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32))
(fma.f32 #s(literal -1/2 binary32) (*.f32 u1 u1) #s(literal -1 binary32))
(fma.f32 u1 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 u1 (*.f32 #s(literal -1/2 binary32) u1) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal -1 binary32))
(+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal -1 binary32))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(*.f32 (pow.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1))))
(pow.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (+.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (fma.f32 (log1p.f32 u1) (+.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)) (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (+.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1))))
(/.f32 (-.f32 (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (neg.f32 (fma.f32 (log1p.f32 u1) (+.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)) (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 2 binary32)))))
(neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 8 binary32)))) (log1p.f32 (pow.f32 u1 #s(literal 4 binary32))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 12 binary32)))) (log1p.f32 (+.f32 (pow.f32 u1 #s(literal 8 binary32)) (pow.f32 u1 #s(literal 4 binary32)))))
(log1p.f32 (*.f32 (*.f32 u1 u1) (*.f32 (neg.f32 u1) u1)))
(log1p.f32 (*.f32 (*.f32 (neg.f32 u1) u1) (*.f32 u1 u1)))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (neg.f32 (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 (PI.f32) #s(literal 2 binary32)) u2)))
(*.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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)))) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(/.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)))) (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 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))) (neg.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (neg.f32 (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)))) (neg.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32))) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 2 binary32)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))) (/.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 2 binary32)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(-.f32 (/.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 2 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 #s(literal 6 binary32)))) (log1p.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 (neg.f32 u1) u1))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (log1p.f32 (*.f32 u1 u1)))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32))
#s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (neg.f32 (*.f32 (PI.f32) #s(literal -2 binary32))) u2)
(*.f32 (neg.f32 (*.f32 (PI.f32) u2)) #s(literal -2 binary32))
(*.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (neg.f32 u2))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 #s(literal -2 binary32) (neg.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))
(/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (PI.f32) u2)) #s(literal 2 binary32))
(fma.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) u2))
(fma.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (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 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.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))
(neg.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1))))
(/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log1p.f32 u1) (+.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)) (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))
(/.f32 (-.f32 (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (fma.f32 (log1p.f32 u1) (+.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)) (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 2 binary32)) (+.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1))))
(-.f32 (/.f32 (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 3 binary32)) (fma.f32 (log1p.f32 u1) (+.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)) (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (fma.f32 (log1p.f32 u1) (+.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)) (pow.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) #s(literal 2 binary32)))))
(-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1)
(*.f32 u1 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)) #s(literal -1 binary32)) u1) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32)) u1) (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal 1 binary32))))
(/.f32 (*.f32 u1 (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)) #s(literal -1 binary32))) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal 1 binary32)))
(/.f32 (*.f32 u1 (fma.f32 #s(literal -1/8 binary32) (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32))) (fma.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal 1 binary32))))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 2 binary32)) (*.f32 (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))) (+.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 3 binary32)) (pow.f32 (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 2 binary32)) (fma.f32 (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (+.f32 (log1p.f32 (*.f32 u1 u1)) (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 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(/.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 (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 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))) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))

eval45.0ms (0.4%)

Memory
15.6MiB live, 103.4MiB allocated; 10ms collecting garbage
Compiler

Compiled 20 791 to 1 969 computations (90.5% saved)

prune103.0ms (1%)

Memory
9.2MiB live, 136.7MiB allocated; 49ms collecting garbage
Pruning

54 alts after pruning (49 fresh and 5 done)

PrunedKeptTotal
New41333446
Fresh111627
Picked415
Done044
Total42854482
Accuracy
99.8%
Counts
482 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.1%
(*.f32 (*.f32 (pow.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.6%
(*.f32 (*.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
97.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 u2 (PI.f32)))))
97.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (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 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 (PI.f32) u2))))
93.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (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)))
74.4%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 #s(approx (- (* (* -1/2 u1) u1) 1) (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
56.7%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #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))))
54.8%
(*.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)))
53.1%
(*.f32 (sqrt.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.0%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.1%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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)))
87.3%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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)))
91.3%
(*.f32 (exp.f32 (*.f32 (log.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u1) u1 #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
92.6%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.9%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.5%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.2%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
98.3%
#s(approx (* (sqrt (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))
80.3%
#s(approx (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
93.2%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
89.9%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 u1))))
76.3%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))))
90.1%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
98.6%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
94.2%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
98.9%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
95.8%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
95.1%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
53.3%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
96.4%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
77.5%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
76.6%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
74.3%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
76.7%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (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)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
72.7%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
46.6%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
76.1%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
74.7%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
72.2%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
78.8%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) #s(literal 1/2 binary32))))
75.8%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
74.1%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
72.4%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
64.6%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
49.4%
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
Compiler

Compiled 4 026 to 2 994 computations (25.6% saved)

simplify200.0ms (1.9%)

Memory
-7.8MiB live, 271.7MiB allocated; 110ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
cost-diff0
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))))
cost-diff0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 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-diff1
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
cost-diff0
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
cost-diff0
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))
cost-diff0
#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
cost-diff0
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
cost-diff0
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff0
(log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
cost-diff0
(sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
cost-diff0
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
cost-diff0
(sqrt.f32 u1)
cost-diff0
#s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1))
cost-diff0
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
cost-diff0
(sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))))
cost-diff0
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
cost-diff0
(*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
cost-diff0
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077635
0125635
1193635
2363635
3864635
42597635
08021615
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))))
(-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))
(pow.f32 (log1p.f32 u1) #s(literal 3 binary32))
(log1p.f32 u1)
u1
#s(literal 3 binary32)
(pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
#s(literal 2 binary32)
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))
#s(literal -2 binary32)
(*.f32 (PI.f32) u2)
(PI.f32)
u2
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
#s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(-.f32 u1 #s(literal -1 binary32))
u1
#s(literal -1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
(pow.f32 u1 #s(literal 3 binary32))
u1
#s(literal 3 binary32)
#s(literal 1/4 binary32)
(sqrt.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 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 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))))
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 u1 #s(literal 3 binary32))
u1
#s(literal 3 binary32)
#s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32))
#s(literal -2/3 binary32)
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(*.f32 (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 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 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))))
(-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))
(pow.f32 (log1p.f32 u1) #s(literal 3 binary32))
(log1p.f32 u1)
u1
#s(literal 3 binary32)
(pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))
(log1p.f32 (*.f32 (neg.f32 u1) u1))
(*.f32 (neg.f32 u1) u1)
(neg.f32 u1)
(sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
#s(literal 2 binary32)
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))
(cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2))
(*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))
(*.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 (PI.f32) u2)
(PI.f32)
u2
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
#s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(-.f32 u1 #s(literal -1 binary32))
u1
#s(literal -1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))))
#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
(pow.f32 u1 #s(literal 3 binary32))
u1
#s(literal 3 binary32)
#s(literal 1/4 binary32)
(sqrt.f32 u1)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 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 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))))
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
(-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 u1 #s(literal 3 binary32))
u1
#s(literal 3 binary32)
#s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32))
#s(literal -2/3 binary32)
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u2

localize277.0ms (2.6%)

Memory
25.0MiB live, 501.7MiB allocated; 60ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.3359375
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.46856062860980974
(PI.f32)
accuracy2.691248931019517
#s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
accuracy23.30111842484127
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
accuracy0.1953125
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))
accuracy0.3359375
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
accuracy0.46856062860980974
(PI.f32)
accuracy3.621709425214284
#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
accuracy0.1015625
(sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
accuracy0.109375
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
accuracy6.057055859943907
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
accuracy15.326327655829386
(log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
accuracy0.0
(sqrt.f32 u1)
accuracy6.057055859943907
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
accuracy7.290876154767422
#s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1))
accuracy0.3717575195368841
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
accuracy0.46856062860980974
(PI.f32)
accuracy0.4916764649057246
(pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))
accuracy0.5671463867581884
(pow.f32 (log1p.f32 u1) #s(literal 3 binary32))
Samples
151.0ms147×1valid
47.0ms105×0valid
13.0ms5exit
Compiler

Compiled 596 to 65 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 174.0ms
adjust: 31.0ms (17.8% of total)
ival-mult: 30.0ms (17.2% of total)
ival-sqrt: 25.0ms (14.4% of total)
ival-pow: 17.0ms (9.8% of total)
ival-log: 14.0ms (8% of total)
ival-sub: 12.0ms (6.9% of total)
ival-log1p: 10.0ms (5.7% of total)
ival-add: 9.0ms (5.2% of total)
const: 5.0ms (2.9% of total)
ival-div: 5.0ms (2.9% of total)
ival-neg: 5.0ms (2.9% of total)
ival-cosu: 4.0ms (2.3% of total)
ival-pow2: 4.0ms (2.3% of total)
ival-cos: 3.0ms (1.7% 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)

series239.0ms (2.3%)

Memory
-2.6MiB live, 248.9MiB allocated; 175ms collecting garbage
Counts
25 → 190
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
#s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 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 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))))
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(pow.f32 (log1p.f32 u1) #s(literal 3 binary32))
(pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))
(PI.f32)
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
#s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
Outputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (sqrt u1) (cos (* -2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* -2 (* u2 (PI)))))) (* (sqrt u1) (cos (* -2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* -2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* -2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(sqrt (pow u1 3))
(* u1 (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))))
(* u1 (+ (sqrt u1) (* (pow u1 2) (+ (* -3/4 (sqrt (/ 1 u1))) (* 7/8 (sqrt u1))))))
(* u1 (+ (sqrt u1) (* (pow u1 2) (+ (* -3/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 7/8 (* 9/16 (/ 1 u1))))) (* 7/8 (sqrt (/ 1 u1)))))))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (* -1/2 (pow u1 3)) 1))
(* (pow u1 3) (- (* (pow u1 3) (- (* -1/3 (pow u1 3)) 1/2)) 1))
(* (pow u1 3) (- (* (pow u1 3) (- (* (pow u1 3) (- (* -1/4 (pow u1 3)) 1/3)) 1/2)) 1))
(pow u1 3)
(* (pow u1 3) (+ 1 (* -3/2 u1)))
(* (pow u1 3) (+ 1 (* u1 (- (* 7/4 u1) 3/2))))
(* (pow u1 3) (+ 1 (* u1 (- (* u1 (+ 7/4 (* -15/8 u1))) 3/2))))
(* -1 (pow u1 6))
(* (pow u1 6) (- (* -3/2 (pow u1 2)) 1))
(* (pow u1 6) (- (* (pow u1 2) (- (* -7/4 (pow u1 2)) 3/2)) 1))
(* (pow u1 6) (- (* (pow u1 2) (- (* (pow u1 2) (- (* -15/8 (pow u1 2)) 7/4)) 3/2)) 1))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 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))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 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 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 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))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(* (cos (* -2 (* u2 (PI)))) (sqrt (/ (- (* -1 (pow (log (/ 1 u1)) 3)) (pow (+ (log -1) (* -2 (log (/ 1 u1)))) 3)) (+ (* (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (log (/ 1 u1)))))) (pow (log (/ 1 u1)) 2)))))
(+ (* 1/2 (* (/ (* (cos (* -2 (* u2 (PI)))) (- (+ (* 2 (/ (pow (log (/ 1 u1)) 2) (+ (* (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (log (/ 1 u1)))))) (pow (log (/ 1 u1)) 2)))) (/ (pow (log (/ 1 u1)) 2) (+ (* (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (log (/ 1 u1)))))) (pow (log (/ 1 u1)) 2)))) (/ (* (+ (log -1) (* -4 (log (/ 1 u1)))) (- (* -1 (pow (log (/ 1 u1)) 3)) (pow (+ (log -1) (* -2 (log (/ 1 u1)))) 3))) (pow (+ (* (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (log (/ 1 u1)))))) (pow (log (/ 1 u1)) 2)) 2)))) u1) (sqrt (/ (+ (* (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (log (/ 1 u1)))))) (pow (log (/ 1 u1)) 2)) (- (* -1 (pow (log (/ 1 u1)) 3)) (pow (+ (log -1) (* -2 (log (/ 1 u1)))) 3)))))) (* (cos (* -2 (* u2 (PI)))) (sqrt (/ (- (* -1 (pow (log (/ 1 u1)) 3)) (pow (+ (log -1) (* -2 (log (/ 1 u1)))) 3)) (+ (* (+ (log -1) (* -2 (log (/ 1 u1)))) (+ (log -1) (+ (* -2 (log (/ 1 u1))) (* -1 (log (/ 1 u1)))))) (pow (log (/ 1 u1)) 2))))))
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(+ (* -3 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 6)) (* 1/2 (/ 1 (pow u1 3))))) (pow u1 3))))
(* (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)))))))
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(sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))
(+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1)))))))))
(+ (sqrt (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 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)))
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(- (* -2 (log (/ -1 u1))) (* -3 (log (/ -1 u1))))
(- (+ (* -2 (log (/ -1 u1))) (/ 1 u1)) (* -3 (log (/ -1 u1))))
(- (+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -3 (log (/ -1 u1))))
(- (+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -3 (log (/ -1 u1))))
(pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)
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(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 u1))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))
(pow (+ (log -1) (* -2 (log (/ -1 u1)))) 3)
(+ (* -2 (/ (pow (+ (log -1) (* -2 (log (/ -1 u1)))) 2) (pow u1 2))) (+ (* -1 (/ (pow (+ (log -1) (* -2 (log (/ -1 u1)))) 2) (pow u1 2))) (pow (+ (log -1) (* -2 (log (/ -1 u1)))) 3)))
(+ (* -2 (/ (pow (+ (log -1) (* -2 (log (/ -1 u1)))) 2) (pow u1 2))) (+ (* -1 (/ (pow (+ (log -1) (* -2 (log (/ -1 u1)))) 2) (pow u1 2))) (+ (* -1/2 (/ (pow (+ (log -1) (* -2 (log (/ -1 u1)))) 2) (pow u1 4))) (+ (* 2 (/ (+ (log -1) (* -2 (log (/ -1 u1)))) (pow u1 4))) (+ (/ (* (+ 1 (* -1 (+ (log -1) (* -2 (log (/ -1 u1)))))) (+ (log -1) (* -2 (log (/ -1 u1))))) (pow u1 4)) (pow (+ (log -1) (* -2 (log (/ -1 u1)))) 3))))))
(+ (* -2 (/ (log (/ -1 u1)) (pow u1 6))) (+ (* -2 (/ (pow (+ (log -1) (* -2 (log (/ -1 u1)))) 2) (pow u1 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -2 (log (/ -1 u1)))))) (pow u1 6))) (+ (* -1 (/ (pow (+ (log -1) (* -2 (log (/ -1 u1)))) 2) (pow u1 2))) (+ (* -1/2 (/ (pow (+ (log -1) (* -2 (log (/ -1 u1)))) 2) (pow u1 4))) (+ (* -1/3 (/ (pow (+ (log -1) (* -2 (log (/ -1 u1)))) 2) (pow u1 6))) (+ (* 2 (/ (+ (log -1) (* -2 (log (/ -1 u1)))) (pow u1 4))) (+ (/ (log -1) (pow u1 6)) (+ (/ (* (+ 1 (* -1 (+ (log -1) (* -2 (log (/ -1 u1)))))) (+ (log -1) (* -2 (log (/ -1 u1))))) (pow u1 4)) (+ (/ (* (+ 1 (* -2/3 (+ (log -1) (* -2 (log (/ -1 u1)))))) (+ (log -1) (* -2 (log (/ -1 u1))))) (pow u1 6)) (pow (+ (log -1) (* -2 (log (/ -1 u1)))) 3)))))))))))
(pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(* -2 (log (/ -1 u1)))
(+ (* -2 (log (/ -1 u1))) (/ 1 u1))
(+ (* -2 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1)))
(+ (* -2 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 u1))) u1)) 1) u1)))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))))
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(+ (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))))))))
(+ (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))))) (* 2/3 (* (pow (PI) 4) (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 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))))) (* -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))))))))))))
(* 2 (* u2 (PI)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* -2 (* u2 (PI)))) (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
Calls

9 calls:

TimeVariablePointExpression
109.0ms
u2
@inf
((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (/ (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (sqrt (+ (* (log (+ 1 (* (neg u1) u1))) (+ (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (pow (log (+ 1 u1)) 2)))) (cos (* -2 (* (PI) u2)))) (/ (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (sqrt (+ (* (log (+ 1 (* (neg u1) u1))) (+ (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (pow (log (+ 1 u1)) 2)))) (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ (- u1 -1) (- 1 (* u1 u1))))) (log (/ (- u1 -1) (- 1 (* u1 u1)))) (/ (- u1 -1) (- 1 (* u1 u1))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (+ (* (sqrt (pow u1 3)) 1/4) (sqrt u1)) (sqrt (pow u1 3)) (log (- 1 (pow u1 3))) (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1))))) (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3) (PI) (pow (log (+ 1 u1)) 2) (* (* 2 (PI)) u2) (log (+ 1 (+ (* u1 u1) u1))))
41.0ms
u1
@inf
((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (/ (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (sqrt (+ (* (log (+ 1 (* (neg u1) u1))) (+ (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (pow (log (+ 1 u1)) 2)))) (cos (* -2 (* (PI) u2)))) (/ (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (sqrt (+ (* (log (+ 1 (* (neg u1) u1))) (+ (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (pow (log (+ 1 u1)) 2)))) (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ (- u1 -1) (- 1 (* u1 u1))))) (log (/ (- u1 -1) (- 1 (* u1 u1)))) (/ (- u1 -1) (- 1 (* u1 u1))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (+ (* (sqrt (pow u1 3)) 1/4) (sqrt u1)) (sqrt (pow u1 3)) (log (- 1 (pow u1 3))) (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1))))) (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3) (PI) (pow (log (+ 1 u1)) 2) (* (* 2 (PI)) u2) (log (+ 1 (+ (* u1 u1) u1))))
39.0ms
u2
@-inf
((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (/ (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (sqrt (+ (* (log (+ 1 (* (neg u1) u1))) (+ (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (pow (log (+ 1 u1)) 2)))) (cos (* -2 (* (PI) u2)))) (/ (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (sqrt (+ (* (log (+ 1 (* (neg u1) u1))) (+ (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (pow (log (+ 1 u1)) 2)))) (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ (- u1 -1) (- 1 (* u1 u1))))) (log (/ (- u1 -1) (- 1 (* u1 u1)))) (/ (- u1 -1) (- 1 (* u1 u1))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (+ (* (sqrt (pow u1 3)) 1/4) (sqrt u1)) (sqrt (pow u1 3)) (log (- 1 (pow u1 3))) (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1))))) (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3) (PI) (pow (log (+ 1 u1)) 2) (* (* 2 (PI)) u2) (log (+ 1 (+ (* u1 u1) u1))))
26.0ms
u1
@-inf
((* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (* (/ (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (sqrt (+ (* (log (+ 1 (* (neg u1) u1))) (+ (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (pow (log (+ 1 u1)) 2)))) (cos (* -2 (* (PI) u2)))) (/ (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (sqrt (+ (* (log (+ 1 (* (neg u1) u1))) (+ (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (pow (log (+ 1 u1)) 2)))) (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt u1) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (log (/ (- u1 -1) (- 1 (* u1 u1))))) (log (/ (- u1 -1) (- 1 (* u1 u1)))) (/ (- u1 -1) (- 1 (* u1 u1))) (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (+ (* (sqrt (pow u1 3)) 1/4) (sqrt u1)) (sqrt (pow u1 3)) (log (- 1 (pow u1 3))) (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1))))) (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3) (PI) (pow (log (+ 1 u1)) 2) (* (* 2 (PI)) u2) (log (+ 1 (+ (* u1 u1) u1))))
4.0ms
u1
@0
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simplify226.0ms (2.2%)

Memory
13.5MiB live, 389.5MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117322913
1410120120
0813118856
Stop Event
iter limit
node limit
Counts
190 → 189
Calls
Call 1
Inputs
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u1
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1
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(+ (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))))))))
(+ (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))))) (* 2/3 (* (pow (PI) 4) (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 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))))) (* -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))))))))))))
(* 2 (* u2 (PI)))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* -2 (* u2 (PI)))) (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
Outputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32))))) #s(literal 1/4 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))) (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 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32))))) #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32))))) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32))))))) u1)) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(* (sqrt u1) (cos (* -2 (* u2 (PI)))))
(*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* -2 (* u2 (PI)))))) (* (sqrt u1) (cos (* -2 (* u2 (PI))))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32))))) #s(literal 1/4 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))) (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 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32))))) #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* -2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* -2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* -2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))) (*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32))))) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 u1)) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32))))))) u1)) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
(sqrt (pow u1 3))
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
(* u1 (+ (sqrt u1) (* -3/4 (sqrt (pow u1 3)))))
(*.f32 (fma.f32 #s(literal -3/4 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)) u1)
(* u1 (+ (sqrt u1) (* (pow u1 2) (+ (* -3/4 (sqrt (/ 1 u1))) (* 7/8 (sqrt u1))))))
(*.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 7/8 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)) u1)
(* u1 (+ (sqrt u1) (* (pow u1 2) (+ (* -3/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 7/8 (* 9/16 (/ 1 u1))))) (* 7/8 (sqrt (/ 1 u1)))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 9/16 binary32) u1) #s(literal 7/8 binary32)) (sqrt.f32 u1)) #s(literal -1/2 binary32) (*.f32 #s(literal 7/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 #s(literal -3/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1)) u1)
u1
(* u1 (+ 1 (* 1/2 u1)))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
1
#s(literal 1 binary32)
(+ 1 u1)
(+.f32 u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 u1)))
(fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(* -1 (pow u1 3))
(pow.f32 (neg.f32 u1) #s(literal 3 binary32))
(* (pow u1 3) (- (* -1/2 (pow u1 3)) 1))
(*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))
(* (pow u1 3) (- (* (pow u1 3) (- (* -1/3 (pow u1 3)) 1/2)) 1))
(*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))
(* (pow u1 3) (- (* (pow u1 3) (- (* (pow u1 3) (- (* -1/4 (pow u1 3)) 1/3)) 1/2)) 1))
(*.f32 (-.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/3 binary32)) (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))
(pow u1 3)
(pow.f32 u1 #s(literal 3 binary32))
(* (pow u1 3) (+ 1 (* -3/2 u1)))
(*.f32 (fma.f32 #s(literal -3/2 binary32) u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))
(* (pow u1 3) (+ 1 (* u1 (- (* 7/4 u1) 3/2))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 7/4 binary32) u1) #s(literal 3/2 binary32)) u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))
(* (pow u1 3) (+ 1 (* u1 (- (* u1 (+ 7/4 (* -15/8 u1))) 3/2))))
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -15/8 binary32) u1 #s(literal 7/4 binary32)) u1) #s(literal 3/2 binary32)) u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))
(* -1 (pow u1 6))
(neg.f32 (pow.f32 u1 #s(literal 6 binary32)))
(* (pow u1 6) (- (* -3/2 (pow u1 2)) 1))
(*.f32 (-.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 6 binary32)))
(* (pow u1 6) (- (* (pow u1 2) (- (* -7/4 (pow u1 2)) 3/2)) 1))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -7/4 binary32) (*.f32 u1 u1)) #s(literal 3/2 binary32)) (*.f32 u1 u1)) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 6 binary32)))
(* (pow u1 6) (- (* (pow u1 2) (- (* (pow u1 2) (- (* -15/8 (pow u1 2)) 7/4)) 3/2)) 1))
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -15/8 binary32) (*.f32 u1 u1)) #s(literal 7/4 binary32)) (*.f32 u1 u1)) #s(literal 3/2 binary32)) (*.f32 u1 u1)) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 6 binary32)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* -1 u1)))
(*.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32)) (*.f32 u1 u1))
(* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 11/12 binary32) u1) #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (*.f32 u1 u1))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/6 binary32) u1 #s(literal 11/12 binary32)) u1) #s(literal 1 binary32)) u1 #s(literal 1 binary32)) (*.f32 u1 u1))
(* u1 (+ 1 (* u1 (+ 1/2 (* -2/3 u1)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (- (* 1/4 u1) 2/3))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal -2/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(*.f32 (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (-.f32 (log.f32 #s(literal -1 binary32)) (*.f32 (log.f32 u1) #s(literal -2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
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(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 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))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
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(+ (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))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))) (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 u2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))) (*.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
(+ (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))))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))) (*.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 u2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))) (*.f32 u2 u2) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))) (*.f32 u2 u2) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
(* 2 (* u2 (PI)))
(*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))))
(* (cos (* -2 (* u2 (PI)))) (sqrt (/ (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* -1 (pow u1 2)))) 3)) (+ (* (log (+ 1 (* -1 (pow u1 2)))) (+ (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (pow (log (+ 1 u1)) 2)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))) (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 (+ u1 (pow u1 2)))) (log (- 1 (pow u1 3))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)))))

rewrite150.0ms (1.4%)

Memory
-25.4MiB live, 113.2MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077436
0125358
1412334
03018322
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 186
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
#s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
(log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 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 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))))
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(pow.f32 (log1p.f32 u1) #s(literal 3 binary32))
(pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))
(PI.f32)
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
#s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))
Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))))) (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2))) (neg.f32 (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (neg.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))))) (neg.f32 (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))))) (neg.f32 (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #s(literal 1/4 binary32)) (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) 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 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) #s(literal 1/2 binary32)))
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))))
(*.f32 (pow.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))) #s(literal 1/4 binary32)) (pow.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 6 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 6 binary32)))) (hypot.f32 (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3/2 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 9 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 9 binary32)))) (sqrt.f32 (+.f32 (+.f32 (pow.f32 (*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 6 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 6 binary32)))))
(pow.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) #s(literal 1/2 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
#s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #s(literal 1/4 binary32)) (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) #s(literal 1/4 binary32)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))))
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(*.f32 (pow.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) #s(literal 1/4 binary32)))
(sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))))
(pow.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 2 binary32)))) (+.f32 #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 3 binary32)))) (fma.f32 #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (+.f32 #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 2 binary32))) (neg.f32 (+.f32 #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) #s(literal 3 binary32))) (neg.f32 (fma.f32 #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (+.f32 #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (pow.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)))))
(neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(log.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (log1p.f32 u1) #s(literal 3 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 3 binary32))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 3 binary32)))
(log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32))))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3/2 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))
(*.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (log.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))) #s(literal 3 binary32))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1))) #s(literal 3 binary32)))
(PI.f32)
(log.f32 (pow.f32 (-.f32 u1 #s(literal -1 binary32)) (log1p.f32 u1)))
(*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1)))
(*.f32 (fabs.f32 (log1p.f32 u1)) (fabs.f32 (log1p.f32 u1)))
(*.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 (log1p.f32 u1))))
(*.f32 (log1p.f32 u1) (log1p.f32 u1))
(pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 2 binary32)))
(*.f32 (*.f32 u2 #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) u2) (PI.f32))
(*.f32 (neg.f32 (*.f32 (PI.f32) #s(literal -2 binary32))) u2)
(*.f32 (neg.f32 (*.f32 (PI.f32) u2)) #s(literal -2 binary32))
(*.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (neg.f32 u2))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)
(*.f32 (*.f32 (PI.f32) u2) #s(literal 2 binary32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))
(*.f32 #s(literal -2 binary32) (neg.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (*.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 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (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 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.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))
(neg.f32 (*.f32 (*.f32 (PI.f32) u2) #s(literal -2 binary32)))
#s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))

eval91.0ms (0.9%)

Memory
-25.7MiB live, 133.1MiB allocated; 32ms collecting garbage
Compiler

Compiled 36 898 to 2 406 computations (93.5% saved)

prune88.0ms (0.8%)

Memory
32.5MiB live, 124.9MiB allocated; 10ms collecting garbage
Pruning

57 alts after pruning (49 fresh and 8 done)

PrunedKeptTotal
New37515390
Fresh103444
Picked235
Done055
Total38757444
Accuracy
99.9%
Counts
444 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.6%
(*.f32 (*.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.7%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
97.1%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (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 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 (PI.f32) u2))))
90.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.0%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (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)))
74.4%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 #s(approx (- (* (* -1/2 u1) u1) 1) (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
56.8%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
56.7%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
53.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #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))))
54.8%
(*.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)))
53.1%
(*.f32 (sqrt.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
93.0%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
91.1%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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)))
87.3%
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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)))
92.6%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
89.9%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.1%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)) (*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.5%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.5%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 (PI.f32) u2))))
85.3%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.3%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (/.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 u1 #s(literal 3 binary32))) u1) (-.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
76.2%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.2%
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) #s(approx (+ (* (sqrt (pow u1 3)) 1/4) (sqrt u1)) (*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
4.8%
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
98.3%
#s(approx (* (sqrt (neg (- (- (log (- 1 (pow u1 4))) (log (+ 1 (* u1 u1)))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32)))))
80.3%
#s(approx (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
89.9%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 u1))))
90.0%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 u2 u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
90.1%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
93.5%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
89.0%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(approx (pow (log (+ 1 u1)) 3) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 7/4 binary32) u1) #s(literal 3/2 binary32)) u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
86.1%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 #s(approx (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 7/8 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)) u1)) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
98.6%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))))
98.9%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
95.8%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
95.1%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
53.3%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
77.5%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
76.6%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
74.3%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
76.7%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (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)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
46.6%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
40.9%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
39.1%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
34.9%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
76.1%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
74.7%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
72.2%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
78.8%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) #s(literal 1/2 binary32))))
75.8%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
74.1%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
64.6%
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
49.4%
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
Compiler

Compiled 5 725 to 2 267 computations (60.4% saved)

regimes305.0ms (2.9%)

Memory
3.8MiB live, 335.8MiB allocated; 29ms collecting garbage
Counts
91 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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)))
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(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(approx (log (+ 1 (+ (* u1 u1) u1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (log1p.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.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)))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 #s(approx (sqrt (- (pow (log (+ 1 u1)) 3) (pow (log (+ 1 (* (neg u1) u1))) 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 7/8 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)) u1)) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 u2 (PI.f32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(approx (pow (log (+ 1 u1)) 3) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 7/4 binary32) u1) #s(literal 3/2 binary32)) u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (neg.f32 (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 2 binary32)))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u2)) (sqrt.f32 (fma.f32 (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
Calls

10 calls:

69.0ms
(-.f32 #s(literal 1 binary32) u1)
60.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
27.0ms
u1
24.0ms
cosTheta_i
23.0ms
u2
Results
AccuracySegmentsBranch
98.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
98.9%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
98.9%1(-.f32 #s(literal 1 binary32) u1)
98.9%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.9%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.9%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes205.0ms (1.9%)

Memory
-23.6MiB live, 214.2MiB allocated; 20ms collecting garbage
Counts
57 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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 (* (neg u1) u1))) (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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (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)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (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 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)) (log1p.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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 #s(approx (- (* (* -1/2 u1) u1) 1) (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/3 binary32) u1) u1 #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) #s(approx (+ (* (sqrt (pow u1 3)) 1/4) (sqrt u1)) (*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (*.f32 u1 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) u1) u1 #s(literal -1/3 binary32)) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (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 #s(literal -2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) #s(literal 2 binary32))) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (- 1 (pow u1 3))) (log (+ 1 (+ (* u1 u1) u1)))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32))))))
Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
Calls

10 calls:

55.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
35.0ms
cosTheta_i
17.0ms
u2
14.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
14.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Results
AccuracySegmentsBranch
95.8%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
95.8%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
99.0%2(-.f32 #s(literal 1 binary32) u1)
99.0%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
99.0%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
99.0%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.9%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
95.8%1cosTheta_i
99.0%2u1
95.8%1u2
Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes135.0ms (1.3%)

Memory
34.1MiB live, 185.7MiB allocated; 16ms collecting garbage
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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 (* (neg u1) u1))) (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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (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)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (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 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)) (log1p.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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 #s(approx (- (* (* -1/2 u1) u1) 1) (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
Calls

10 calls:

24.0ms
u2
17.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
12.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
12.0ms
cosTheta_i
12.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
98.2%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
98.2%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
93.8%1cosTheta_i
98.2%2u2
98.8%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)))
98.9%2(-.f32 #s(literal 1 binary32) u1)
98.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.9%2u1
Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes99.0ms (0.9%)

Memory
10.0MiB live, 99.8MiB allocated; 9ms collecting garbage
Counts
46 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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 (* (neg u1) u1))) (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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (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)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (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 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)) (log1p.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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 #s(approx (- (* (* -1/2 u1) u1) 1) (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
Calls

5 calls:

34.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
33.0ms
u1
11.0ms
(-.f32 #s(literal 1 binary32) u1)
10.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
9.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
98.8%2(-.f32 #s(literal 1 binary32) u1)
98.8%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.8%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.8%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.8%2u1
Compiler

Compiled 19 to 29 computations (-52.6% saved)

regimes73.0ms (0.7%)

Memory
-12.2MiB live, 121.6MiB allocated; 24ms collecting garbage
Counts
41 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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 (* (neg u1) u1))) (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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (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)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (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 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)) (log1p.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)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

6 calls:

13.0ms
(-.f32 #s(literal 1 binary32) u1)
12.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
10.0ms
u1
10.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
9.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Results
AccuracySegmentsBranch
98.7%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)))
98.8%2(-.f32 #s(literal 1 binary32) u1)
98.8%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
98.8%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
98.8%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
98.8%2u1
Compiler

Compiled 32 to 43 computations (-34.4% saved)

regimes131.0ms (1.2%)

Memory
-14.6MiB live, 137.8MiB allocated; 11ms collecting garbage
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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 (* (neg u1) u1))) (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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (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)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (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 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #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))))
Calls

9 calls:

39.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
25.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
13.0ms
(-.f32 #s(literal 1 binary32) u1)
9.0ms
u2
9.0ms
u1
Results
AccuracySegmentsBranch
96.9%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
96.9%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
96.9%2u2
98.1%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
97.9%2(-.f32 #s(literal 1 binary32) u1)
97.9%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.9%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.9%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.9%2u1
Compiler

Compiled 44 to 61 computations (-38.6% saved)

regimes9.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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 (* (neg u1) u1))) (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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (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)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (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 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #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))))
Calls

1 calls:

8.0ms
(*.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
98.1%2(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes48.0ms (0.5%)

Memory
-0.2MiB live, 89.9MiB allocated; 9ms collecting garbage
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 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 (* (neg u1) u1))) (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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (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)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
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 (log.f32 (-.f32 #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))))
Calls

6 calls:

11.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
9.0ms
u1
7.0ms
(-.f32 #s(literal 1 binary32) u1)
7.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
6.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
Results
AccuracySegmentsBranch
97.2%2(-.f32 #s(literal 1 binary32) u1)
97.2%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
97.2%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
97.2%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
97.2%2u1
97.5%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 32 to 43 computations (-34.4% saved)

regimes67.0ms (0.6%)

Memory
-18.1MiB live, 129.9MiB allocated; 8ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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 (log.f32 (-.f32 #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))))
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 (log.f32 (-.f32 #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))))
Calls

10 calls:

9.0ms
u1
7.0ms
(-.f32 #s(literal 1 binary32) u1)
7.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
6.0ms
cosTheta_i
6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
Results
AccuracySegmentsBranch
91.3%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
91.3%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
91.3%2u2
87.3%1cosTheta_i
95.5%2(-.f32 #s(literal 1 binary32) u1)
95.5%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
95.5%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
95.5%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
95.5%2u1
95.9%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 45 to 64 computations (-42.2% saved)

regimes36.0ms (0.3%)

Memory
10.3MiB live, 57.0MiB allocated; 3ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(*.f32 (sqrt.f32 #s(approx (neg (- (log (+ 1 (* (neg u1) u1))) (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)))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
Calls

6 calls:

6.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
u1
6.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
6.0ms
(-.f32 #s(literal 1 binary32) u1)
6.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Results
AccuracySegmentsBranch
93.7%2(-.f32 #s(literal 1 binary32) u1)
93.7%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
93.7%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
93.7%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
93.7%2u1
94.2%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 32 to 43 computations (-34.4% saved)

regimes60.0ms (0.6%)

Memory
7.2MiB live, 62.9MiB allocated; 8ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
Calls

10 calls:

11.0ms
u1
6.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms
u2
6.0ms
cosTheta_i
5.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
76.6%1cosTheta_i
87.5%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
87.5%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
87.5%2u2
86.3%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
86.3%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
86.3%2u1
86.3%2(-.f32 #s(literal 1 binary32) u1)
86.3%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
90.4%3(*.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 45 to 64 computations (-42.2% saved)

regimes49.0ms (0.5%)

Memory
-11.6MiB live, 35.6MiB allocated; 2ms collecting garbage
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/4 binary32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 #s(approx (log (- 1 u1)) (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)) u1)) (log1p.f32 (*.f32 (neg.f32 u1) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
Outputs
(*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.f32 u1)) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
Calls

4 calls:

32.0ms
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
5.0ms
u2
5.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
5.0ms
(*.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
90.4%3(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
87.0%2(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
87.0%2(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
87.0%2u2
Compiler

Compiled 25 to 32 computations (-28% saved)

regimes43.0ms (0.4%)

Memory
-4.3MiB live, 85.0MiB allocated; 9ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (neg.f32 u1) u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))))))
Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))
Calls

9 calls:

8.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
6.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
4.0ms
u1
4.0ms
u2
4.0ms
(-.f32 #s(literal 1 binary32) u1)
Results
AccuracySegmentsBranch
80.3%2(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
80.3%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
80.3%2u1
80.3%2(-.f32 #s(literal 1 binary32) u1)
80.3%2(log.f32 (-.f32 #s(literal 1 binary32) u1))
76.1%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
76.1%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
76.1%1u2
80.3%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 44 to 61 computations (-38.6% saved)

regimes28.0ms (0.3%)

Memory
-5.8MiB live, 48.9MiB allocated; 4ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (*.f32 #s(literal -1 binary32) (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))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/6 binary32) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (log.f32 #s(approx (/ (- u1 -1) (- 1 (* u1 u1))) (+.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/6 binary32))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))))
Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
Calls

8 calls:

6.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
3.0ms
cosTheta_i
3.0ms
u1
3.0ms
(-.f32 #s(literal 1 binary32) u1)
3.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
76.1%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
76.1%1cosTheta_i
76.1%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
76.1%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
76.1%1u1
76.1%1(-.f32 #s(literal 1 binary32) u1)
76.1%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
76.1%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)))
Compiler

Compiled 39 to 54 computations (-38.5% saved)

regimes20.0ms (0.2%)

Memory
32.8MiB live, 32.8MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
Calls

10 calls:

2.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms
u2
2.0ms
cosTheta_i
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
2.0ms
u1
Results
AccuracySegmentsBranch
74.7%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
74.7%1u2
74.7%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
74.7%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
74.7%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)))
74.7%1cosTheta_i
74.7%1u1
74.7%1(-.f32 #s(literal 1 binary32) u1)
74.7%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
74.7%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes44.0ms (0.4%)

Memory
-15.5MiB live, 30.9MiB allocated; 3ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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)))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
Calls

10 calls:

29.0ms
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms
(-.f32 #s(literal 1 binary32) u1)
2.0ms
u1
Results
AccuracySegmentsBranch
72.2%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
72.2%1u2
72.2%1(-.f32 #s(literal 1 binary32) u1)
72.2%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
72.2%1cosTheta_i
72.2%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
72.2%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)))
72.2%1u1
72.2%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
72.2%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 45 to 64 computations (-42.2% saved)

regimes20.0ms (0.2%)

Memory
-11.2MiB live, 35.9MiB allocated; 2ms collecting garbage
Accuracy

Total -19.6b remaining (-172.5%)

Threshold costs -19.6b (-172.5%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (neg (log (- 1 u1)))) (neg.f32 (sqrt.f32 u1))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary32)))
(*.f32 #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
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
Calls

10 calls:

6.0ms
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
2.0ms
u2
2.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
1.0ms
cosTheta_i
1.0ms
(log.f32 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
64.6%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)
64.6%1(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))
64.6%1u2
64.6%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)))
64.6%1cosTheta_i
64.6%1(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
64.6%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
64.6%1u1
64.6%1(-.f32 #s(literal 1 binary32) u1)
64.6%1(log.f32 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 45 to 64 computations (-42.2% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.08924441039562225
0.10583918541669846
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.04544718936085701
0.04796832427382469
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0349644273519516
0.03631436824798584
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0349644273519516
0.03631436824798584
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.23382535576820374
0.26259878277778625
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.23382535576820374
0.26259878277778625
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.12472710758447647
0.14262914657592773
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.06654375046491623
0.07625126838684082
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.1012108325958252
0.10502435266971588
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0005072272615507245
0.0005223884363658726
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.16568700969219208
0.16938023269176483
0.0ms
0.0059289694763720036
0.006343023385852575
Compiler

Compiled 16 to 20 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.16568700969219208
0.16938023269176483
Compiler

Compiled 16 to 20 computations (-25% saved)

simplify55.0ms (0.5%)

Memory
0.8MiB live, 46.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01671056
12201056
22901056
34781056
413471056
547281056
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u1 #s(literal 13421773/134217728 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 u1 #s(literal 12348031/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 u1 #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 u1 #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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 1/4 binary32)) (*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (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 1/4 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (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 9395241/67108864 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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (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 9395241/134217728 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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (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 14092861/134217728 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 u2 #s(literal 2233383/4294967296 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1))))) (*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.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 6442451/1073741824 binary32)) (*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.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 11140071/67108864 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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 11140071/67108864 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))
Outputs
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 (neg.f32 u1) u1)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2)))))
(if (<=.f32 u1 #s(literal 13421773/134217728 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 u1 u1) #s(literal -1/2 binary32)) u1) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u2))))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 u1 #s(literal 12348031/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal -1/2 binary32) #s(literal -1 binary32)) u1) u1)) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 u1 #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 u1 #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (+.f32 (neg.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1))) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (fma.f32 #s(literal -2 binary32) (*.f32 u2 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(if (<=.f32 u1 #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 u1 #s(literal 9395241/268435456 binary32)) (*.f32 (sqrt.f32 (+.f32 (neg.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1))) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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 1/4 binary32)) (*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1)) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (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 1/4 binary32)) (*.f32 (sqrt.f32 (+.f32 (neg.f32 #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1))) #s(approx (log (+ 1 u1)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (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 1/4 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (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 9395241/67108864 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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (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 9395241/134217728 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 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))))
(if (<=.f32 (*.f32 (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 14092861/134217728 binary32)) (*.f32 (sqrt.f32 #s(approx (neg (log (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 u2 #s(literal 2233383/4294967296 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) #s(approx (log (+ 1 (* (neg u1) u1))) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u1) u1) #s(literal 1 binary32)) u1) u1))))) (*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.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 6442451/1073741824 binary32)) (*.f32 #s(approx (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (sqrt.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 11140071/67108864 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) 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 11140071/67108864 binary32)) #s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1)))) #s(approx (* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) u1 #s(literal 1/3 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) (sqrt.f32 #s(approx (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1)))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (neg (- (log (+ 1 (* (neg u1) u1))) (log (+ 1 u1))))) (cos (* (* 2 (PI)) u2))) #s(approx (sqrt (- (log (+ 1 u1)) (log (+ 1 (* (neg u1) u1))))) (sqrt.f32 u1)))

derivations898.0ms (8.5%)

Memory
-26.4MiB live, 889.0MiB allocated; 154ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03061647
110511359
246411348
083861282
067353
0107342
1300302
01880295
08776412
130695207
092394986
08185992
127974861
092044639
01339
02239
16739
039239
Stop Event
fuel
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 082 to 170 computations (84.3% saved)

preprocess145.0ms (1.4%)

Memory
12.4MiB live, 151.1MiB allocated; 24ms collecting garbage
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 2 498 to 576 computations (76.9% saved)

end0.0ms (0%)

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

Profiling

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