HairBSDF, sample_f, cosTheta

Time bar (total: 15.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze210.0ms (1.3%)

Memory
-17.8MiB live, 99.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.9%99.1%0%0%0%0
0%0%0.9%99.1%0%0%0%1
0%0%0.9%99.1%0%0%0%2
0%0%0.9%99.1%0%0%0%3
0%0%0.9%99.1%0%0%0%4
37.5%0.3%0.5%99.1%0%0%0%5
43.7%0.4%0.5%99.1%0%0%0%6
65.6%0.6%0.3%99.1%0%0%0%7
70.3%0.6%0.3%99.1%0%0%0%8
82%0.7%0.2%99.1%0%0%0%9
84.8%0.7%0.1%99.1%0%0%0%10
90.8%0.8%0.1%99.1%0%0%0%11
92.3%0.8%0.1%99.1%0%0%0%12
Compiler

Compiled 31 to 23 computations (25.8% saved)

sample2.3s (14.6%)

Memory
65.1MiB live, 3 032.4MiB allocated
Samples
1.8s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
const: 397.0ms (27.3% of total)
ival-mult: 241.0ms (16.6% of total)
ival-<=: 180.0ms (12.4% of total)
ival-exp: 169.0ms (11.6% of total)
ival-log: 141.0ms (9.7% of total)
ival-div: 122.0ms (8.4% of total)
ival-sub: 92.0ms (6.3% of total)
ival-add: 75.0ms (5.2% of total)
ival-and: 24.0ms (1.7% of total)
exact: 12.0ms (0.8% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain220.0ms (1.4%)

Memory
17.0MiB live, 286.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
17(0.7452260851860046 0.011383217759430408)1(0.001838548225350678 0.030613727867603302)(exp.f32 (/.f32 #s(literal -2 binary32) v))
00-0-(-.f32 #s(literal 1 binary32) u)
00-0-#s(literal 1 binary32)
00-0-#s(literal -2 binary32)
00-0-u
00-0-(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
00-0-v
00-0-(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
00-0-(/.f32 #s(literal -2 binary32) v)
00-0-(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
00-0-(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 #s(literal -2 binary32) v))sensitivity73
log.f32(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))sensitivity11
Confusion
Predicted +Predicted -
+13
-7245
Precision
0.125
Recall
0.25
Confusion?
Predicted +Predicted MaybePredicted -
+112
-73242
Precision?
0.16666666666666666
Recall?
0.5
Freqs
test
numberfreq
0248
18
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
112.0ms512×0valid
Compiler

Compiled 163 to 40 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-div: 70.0ms (72.5% of total)
ival-add: 6.0ms (6.2% of total)
ival-exp: 6.0ms (6.2% of total)
ival-mult: 6.0ms (6.2% of total)
ival-log: 5.0ms (5.2% of total)
ival-sub: 2.0ms (2.1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess111.0ms (0.7%)

Memory
-23.6MiB live, 92.8MiB allocated
Algorithm
1×egg-herbie
Rules
500×lower-fma.f64
500×lower-fma.f32
346×div-sub
312×sub-neg
302×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03285
16775
215675
338775
494075
5167275
6227075
7254375
8269175
9273175
10275975
11278075
12278075
01215
02015
12815
23815
36115
411715
516415
624315
738415
850415
954615
1054715
054713
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32))
Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify25.0ms (0.2%)

Memory
3.6MiB live, 40.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
cost-diff0
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
cost-diff64
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Rules
500×lower-fma.f64
500×lower-fma.f32
196×lower-*.f64
192×lower-*.f32
140×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271
02071
12871
23871
36171
411771
516471
624371
738471
850471
954671
1054771
054766
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
#s(literal 1 binary32)
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
v
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
u
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(-.f32 #s(literal 1 binary32) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(fma.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))
v
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
u
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(-.f32 #s(literal 1 binary32) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)

localize43.0ms (0.3%)

Memory
20.9MiB live, 62.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.05128626178494127
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
accuracy0.06089341654524322
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
accuracy0.10535794281390148
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.296875
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Samples
26.0ms256×0valid
Compiler

Compiled 73 to 14 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-exp: 7.0ms (36.8% of total)
ival-mult: 3.0ms (15.8% of total)
ival-log: 3.0ms (15.8% of total)
ival-div: 2.0ms (10.5% of total)
ival-add: 2.0ms (10.5% of total)
ival-sub: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series64.0ms (0.4%)

Memory
9.9MiB live, 120.1MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())
#s(alt (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())
#s(alt (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (patch (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (patch (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 #s(literal -2 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
Outputs
#s(alt 1 (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -2 (- 1 u))) (taylor inf v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) (taylor inf v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) (taylor inf v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))) (taylor inf v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -2 (- 1 u))) (taylor -inf v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) (taylor -inf v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))) (taylor -inf v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))) (taylor -inf v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt -1 (taylor 0 u) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) (taylor 0 u) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) (taylor 0 u) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1) (taylor 0 u) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
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Calls

27 calls:

TimeVariablePointExpression
40.0ms
v
@0
(* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))
9.0ms
v
@0
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))
2.0ms
u
@inf
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))
1.0ms
v
@inf
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))
1.0ms
v
@-inf
(+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))))

simplify298.0ms (1.9%)

Memory
-3.8MiB live, 351.7MiB allocated
Algorithm
1×egg-herbie
Rules
11 468×lower-fma.f64
11 468×lower-fma.f32
6 092×lower-+.f64
6 092×lower-+.f32
4 776×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03373014
19352793
230222668
083322386
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
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(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (- 1 u)))
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(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
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(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(exp (/ -2 v))
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(* -1 (* u (- (exp (/ -2 v)) 1)))
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(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(+ u (* (exp (/ -2 v)) (- 1 u)))
1
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(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
1
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* -2 (- 1 u))
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(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
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-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
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(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
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(/ -2 v)
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(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
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(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
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(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 v))
1
(- 1 (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
1
(- 1 (* 2 (/ 1 v)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(+ 1 (* -2 (- 1 u)))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))))
(+ 1 (* -2 (- 1 u)))
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(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) v))
-1
#s(literal -1 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(fma.f32 u (fma.f32 u (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 v u) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))))) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32))
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(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (*.f32 v (fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (*.f32 u (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) (neg.f32 u)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (fma.f32 v (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (*.f32 v (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal -1/3 binary32) u) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))))) (neg.f32 u))) (neg.f32 u)))
(/ -2 v)
(/.f32 #s(literal -2 binary32) v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(fma.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 u (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal -2 binary32) v))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(fma.f32 u (fma.f32 u (fma.f32 u (*.f32 (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal -2 binary32) v))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) (log.f32 u))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+.f32 (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u (*.f32 u u))) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 3 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
(-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u)))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))
(-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 u (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (*.f32 u (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) u))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal -1/3 binary32) u) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) u)) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(* -2 (/ (- 1 u) v))
(/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v)
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) v)
(* -2 (/ (- 1 u) v))
(/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v)
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal -1/2 binary32) v) (fma.f32 #s(literal 2 binary32) (neg.f32 u) #s(literal 2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal -1/6 binary32) v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) #s(literal -1/24 binary32) (*.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) v))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (/.f32 #s(literal -4/3 binary32) (*.f32 v (*.f32 v v))))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) v))

rewrite526.0ms (3.3%)

Memory
-170.4MiB live, 446.2MiB allocated
Rules
5 318×lower-fma.f64
5 318×lower-fma.f32
4 218×lower-*.f64
4 214×lower-*.f32
1 912×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01253
02053
16953
246653
3488053
0871948
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 255
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Outputs
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (neg.f32 (fma.f32 v (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32))) #s(literal 1 binary32)))))
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32))) (neg.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) (fma.f32 v (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32))) #s(literal 1 binary32))))
(neg.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))))
(+.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32))) (neg.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (neg.f32 v) #s(literal 1 binary32)))))
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(pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 #s(literal -2 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (E.f32) (pow.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal -1/2 binary32))) (pow.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (pow.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal -1/2 binary32))) (pow.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
(/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) v)))
(/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) (*.f32 v #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (*.f32 v #s(literal -1/2 binary32)))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))
(*.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))

eval49.0ms (0.3%)

Memory
-14.5MiB live, 97.8MiB allocated
Compiler

Compiled 14 416 to 1 548 computations (89.3% saved)

prune74.0ms (0.5%)

Memory
31.8MiB live, 185.0MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New34320363
Fresh000
Picked011
Done000
Total34321364
Accuracy
99.9%
Counts
364 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u))))
✓99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
99.5%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
94.9%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
10.4%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
13.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
7.8%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
14.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
▶10.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
12.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
▶12.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
▶14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
10.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
99.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
5.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)))
12.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
7.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
11.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) v)))
12.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
86.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
▶5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 1 063 to 616 computations (42.1% saved)

simplify275.0ms (1.7%)

Memory
-22.1MiB live, 416.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
cost-diff0
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))
cost-diff0
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
cost-diff96
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))
cost-diff128
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
cost-diff160
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v)))
cost-diff192
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32)))
cost-diff64
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
cost-diff96
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
cost-diff128
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
cost-diff256
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
cost-diff0
(log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u))
cost-diff0
(*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u))))
cost-diff160
(fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)
Rules
22 584×lower-fma.f64
22 564×lower-fma.f32
3 376×lower-+.f64
3 368×lower-+.f32
3 258×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060659
0103659
1187651
2428581
31542567
47239567
08261517
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u))))
#s(literal 1 binary32)
(*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)))
v
(log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u))
(fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 u u))
(*.f32 u u)
u
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))
(+.f32 #s(literal 1 binary32) u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(literal -1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v))))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) u)
u
(neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v))
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
#s(literal -1/2 binary32)
(*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))
#s(literal 16 binary32)
#s(literal -24 binary32)
(fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))
#s(literal 8 binary32)
(neg.f32 u)
(/.f32 #s(literal 1/6 binary32) v)
#s(literal 1/6 binary32)
v
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
(*.f32 v u)
u
#s(literal -2 binary32)
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u))))
(fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)))
(*.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) u)))
v
(log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u))
(log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) u))
(fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) u)
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 u u))
(fma.f32 u (neg.f32 u) #s(literal 1 binary32))
(*.f32 u u)
u
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))
(+.f32 #s(literal 1 binary32) u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(literal -1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
(*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
(*.f32 u #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (/.f32 (fma.f32 u (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32))))) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (/.f32 (fma.f32 u (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32))))) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
(+.f32 (/.f32 (fma.f32 u (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32))))) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) u)
u
(neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v))
(/.f32 (fma.f32 u (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1/6 binary32) v) (*.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32))))) v)
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)
(/.f32 (fma.f32 u (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32)))) v)
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v)))
(fma.f32 u (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
(*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
(*.f32 u #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
#s(literal -1/2 binary32)
(*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))
(*.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))
(fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32))
#s(literal 16 binary32)
#s(literal -24 binary32)
(fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))
(fma.f32 u #s(literal -8 binary32) #s(literal 8 binary32))
#s(literal 8 binary32)
(neg.f32 u)
(/.f32 #s(literal 1/6 binary32) v)
#s(literal 1/6 binary32)
v
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
(*.f32 v u)
u
#s(literal -2 binary32)

localize166.0ms (1.1%)

Memory
22.8MiB live, 252.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f32 v u)
accuracy0.05128626178494127
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
accuracy0.1306107784322874
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy29.890085270076348
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32)))
accuracy0.43197250976844204
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
accuracy5.606706534265143
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
accuracy7.04147588286139
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32)))
accuracy29.587898543858717
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v))))
accuracy0.38630640177563386
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
accuracy0.4846530040387098
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
accuracy5.606706534265143
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
accuracy27.42145888273907
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
accuracy30.175119115707567
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
accuracy0.06478500976844201
(-.f32 #s(literal 1 binary32) (*.f32 u u))
accuracy0.10535794281390148
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.296875
(*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)))
accuracy0.47265625
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))
Samples
97.0ms256×0valid
Compiler

Compiled 576 to 62 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 28.0ms (38.1% of total)
ival-add: 15.0ms (20.4% of total)
ival-div: 10.0ms (13.6% of total)
ival-log: 5.0ms (6.8% of total)
const: 4.0ms (5.4% of total)
ival-sub: 3.0ms (4.1% of total)
ival-exp: 2.0ms (2.7% of total)
ival-expm1: 2.0ms (2.7% of total)
ival-neg: 2.0ms (2.7% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.5%)

Memory
16.2MiB live, 129.5MiB allocated
Counts
23 → 432
Calls
Call 1
Inputs
#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)))) #<representation binary32>) () ())
#s(alt (*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u))) (patch (*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u))) #<representation binary32>) () ())
#s(alt (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)) (patch (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (patch (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (patch (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (patch (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) (patch (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32)) (patch (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 #s(literal -2 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 u u)) (patch (-.f32 #s(literal 1 binary32) (*.f32 u u)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (patch (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #<representation binary32>) () ())
#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())
Outputs
#s(alt (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))) (taylor 0 v) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))) (taylor 0 v) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))) (taylor 0 v) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))) (taylor 0 v) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) (taylor inf v) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u))) (taylor inf v) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (+ (* 2 (/ (- 1 (pow u 2)) (* (pow v 2) (+ 1 u)))) (/ 1 (+ 1 u))))) (/ (pow u 2) (+ 1 u))) (taylor inf v) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (+ (* -4/3 (/ (- 1 (pow u 2)) (* (pow v 3) (+ 1 u)))) (+ (* 2 (/ (- 1 (pow u 2)) (* (pow v 2) (+ 1 u)))) (/ 1 (+ 1 u)))))) (/ (pow u 2) (+ 1 u))) (taylor inf v) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) (taylor -inf v) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u))) (taylor -inf v) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (+ (* -1 (/ (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u))) (taylor -inf v) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (+ (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u))) (taylor -inf v) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (exp (/ -2 v)) (taylor 0 u) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v))))) (taylor 0 u) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v))))) (taylor 0 u) (#s(alt (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) (patch (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
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Calls

108 calls:

TimeVariablePointExpression
19.0ms
v
@0
(* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))
6.0ms
v
@-inf
(+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u))))
4.0ms
v
@0
(+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u))))
3.0ms
u
@inf
(+ (* (- 1 u) -4) 4)
2.0ms
v
@inf
(+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u))))

simplify307.0ms (1.9%)

Memory
8.3MiB live, 347.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 098×lower-fma.f64
8 098×lower-fma.f32
5 314×lower-*.f64
5 314×lower-*.f32
4 098×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071810714
1217610232
2700510135
082349295
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
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1
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1
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(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
1
(+ 1 (* -2 u))
(+ 1 (* u (- u 2)))
(+ 1 (* u (- u 2)))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
(* u v)
Outputs
(+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)
(+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)
(+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)
(+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)
(- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))
(+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u)))
(+.f32 u (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u v v)) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))))
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (+ (* 2 (/ (- 1 (pow u 2)) (* (pow v 2) (+ 1 u)))) (/ 1 (+ 1 u))))) (/ (pow u 2) (+ 1 u)))
(+.f32 u (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u v v)) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 u (neg.f32 u)) #s(literal 2 binary32)) (*.f32 v (fma.f32 u v v)))) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))))
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (+ (* -4/3 (/ (- 1 (pow u 2)) (* (pow v 3) (+ 1 u)))) (+ (* 2 (/ (- 1 (pow u 2)) (* (pow v 2) (+ 1 u)))) (/ 1 (+ 1 u)))))) (/ (pow u 2) (+ 1 u)))
(+.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 v (*.f32 v (fma.f32 u v v)))) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u v v)) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 v (fma.f32 u v v))) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))))) (-.f32 u (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))))
(- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))
(+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u)))
(+.f32 u (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u v v)) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))))
(- (+ u (+ (* -1 (/ (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u)))
(+.f32 (-.f32 u (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u v v)) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 u (neg.f32 u)) #s(literal 2 binary32)) (+.f32 u #s(literal 1 binary32)))) v)) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(- (+ u (+ (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u)))
(+.f32 (-.f32 u (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (/.f32 (fma.f32 #s(literal -4/3 binary32) (*.f32 u (neg.f32 u)) #s(literal -4/3 binary32)) (fma.f32 u v v))) (neg.f32 v))) v)) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v)))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v)))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v)))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* -1 (* u (- (exp (/ -2 v)) 1)))
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 u))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 u))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 u))
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))
(* v (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))
(*.f32 v (log.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (/ 1 v))))
(fma.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (fma.f32 u v v))) (log.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))))) #s(literal 1 binary32))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v)))))
(fma.f32 v (log.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))) (fma.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (fma.f32 u v v))) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))))) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 u (neg.f32 u)) #s(literal 2 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))))) (*.f32 v v))) #s(literal 1 binary32)))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/6 (/ (+ (* -16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))) (+ (* -8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v))))))
(*.f32 v (+.f32 (+.f32 (log.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))))) #s(literal 24 binary32) (fma.f32 (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))))) #s(literal -8 binary32) (/.f32 (*.f32 #s(literal -16 binary32) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))))) (*.f32 (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (fma.f32 u v v))) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))))) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 u (neg.f32 u)) #s(literal 2 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))))) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v)))
(* v (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))
(*.f32 v (log.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))))
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v)))))
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(fma.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 v v)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -112 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 192 binary32)) (fma.f32 u #s(literal -16 binary32) #s(literal 16 binary32))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 v v)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v)))))
(* -2 (- 1 u))
(fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)))) v) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal -2 binary32)))) (neg.f32 v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -112 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 192 binary32)) (fma.f32 u #s(literal -16 binary32) #s(literal 16 binary32))))) v) (*.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)))))) (neg.f32 v))) (neg.f32 v)))
-2
#s(literal -2 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(fma.f32 u (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (*.f32 #s(literal -1/2 binary32) u) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -2 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(fma.f32 u (fma.f32 u (fma.f32 u (*.f32 (*.f32 v (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))))) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -2 binary32))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(*.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(*.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u)))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (*.f32 (*.f32 u u) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u)))) (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 u u) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 v (*.f32 u (*.f32 u u)))) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 3 binary32)))))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(*.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 (*.f32 v (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 (fma.f32 v (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (/.f32 (*.f32 v (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 u)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 (fma.f32 v (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 v u)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) (neg.f32 u))) (neg.f32 u)))
1
#s(literal 1 binary32)
(+ 1 (* -2 u))
(fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (* u (- u 2)))
(fma.f32 u (+.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))
(+ 1 (* u (- u 2)))
(fma.f32 u (+.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))
(pow u 2)
(*.f32 u u)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) u)))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) u)) u)))
(pow u 2)
(*.f32 u u)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) u)))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) u)))
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)
(* u v)
(*.f32 u v)

rewrite416.0ms (2.6%)

Memory
12.4MiB live, 512.5MiB allocated
Rules
6 866×lower-*.f64
6 852×lower-*.f32
5 340×lower-fma.f64
5 320×lower-fma.f32
3 814×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059374
0101362
1413334
23613334
010265315
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 814
Calls
Call 1
Inputs
(fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u))))
(*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)))
(log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(-.f32 #s(literal 1 binary32) (*.f32 u u))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v))))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(*.f32 v u)
Outputs
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(pow.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u u)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 u (*.f32 u u)))) #s(literal -1 binary32))
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(*.f32 v u)
(*.f32 u v)

eval216.0ms (1.4%)

Memory
44.2MiB live, 382.8MiB allocated
Compiler

Compiled 78 079 to 5 952 computations (92.4% saved)

prune289.0ms (1.8%)

Memory
-1.5MiB live, 443.2MiB allocated
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New1 323281 351
Fresh13215
Picked325
Done011
Total1 339331 372
Accuracy
100.0%
Counts
1 372 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
99.5%
(+.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32))
99.5%
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (neg.f32 (*.f32 u u))))))))
98.1%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) #s(approx (/ 1 (+ 1 u)) (-.f32 #s(literal 1 binary32) u)) u))))
✓99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
94.9%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
▶10.4%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
✓10.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
7.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
11.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(approx (* (- 1 u) (- 1 u)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
12.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (fma.f32 u (fma.f32 u #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
12.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (*.f32 (*.f32 u u) #s(literal -16 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
12.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (+.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 v #s(literal 6 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal -1/2 binary32))))) (*.f32 (*.f32 v #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) u))) v)))))
11.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
12.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
12.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
14.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
7.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
▶11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))))
11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)))))
10.4%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
▶99.6%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32)))
▶86.0%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
▶14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
14.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
5.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)))
11.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) v)))
12.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 v v)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v)))))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
14.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
✓5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 1 591 to 939 computations (41% saved)

simplify634.0ms (4%)

Memory
-14.5MiB live, 499.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))
cost-diff0
#s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))
cost-diff0
(*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
cost-diff0
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))))
cost-diff160
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))
cost-diff256
(fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))
cost-diff0
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
cost-diff128
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
cost-diff160
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
cost-diff0
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)
cost-diff0
(log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u))
cost-diff0
(fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32)))
Rules
26 378×lower-fma.f64
26 358×lower-fma.f32
3 292×lower-*.f64
3 286×lower-*.f32
2 688×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068560
0107552
1196531
2394519
31052512
43324512
56720512
08494491
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32)))
(fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))
v
(log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)
(fma.f32 u (neg.f32 u) #s(literal 1 binary32))
u
(neg.f32 u)
#s(literal 1 binary32)
(/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(+.f32 u #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))
(fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))
#s(literal 2/3 binary32)
(/.f32 u (*.f32 v (*.f32 v v)))
u
(*.f32 v (*.f32 v v))
v
(*.f32 v v)
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
#s(literal 2 binary32)
(/.f32 #s(literal 2 binary32) v)
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
#s(literal 4/3 binary32)
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))))
v
#s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))
u
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
Outputs
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
(fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))
(fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
v
(log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u))
(log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) u))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) u)
(fma.f32 u (neg.f32 u) #s(literal 1 binary32))
u
(neg.f32 u)
#s(literal 1 binary32)
(/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)))
(/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(+.f32 u #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) u)
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal -1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))
(fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))
(fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
(*.f32 u #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) #s(literal -2 binary32))))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) #s(literal -2 binary32)))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) #s(literal -2 binary32))))
(fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) #s(literal -2 binary32)))
#s(literal 2/3 binary32)
(/.f32 u (*.f32 v (*.f32 v v)))
u
(*.f32 v (*.f32 v v))
v
(*.f32 v v)
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(fma.f32 (/.f32 u v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
#s(literal 2 binary32)
(/.f32 #s(literal 2 binary32) v)
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
#s(literal 4/3 binary32)
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))))
v
#s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))
u
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)

localize309.0ms (2%)

Memory
8.0MiB live, 239.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.12566377088049835
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))
accuracy0.1306107784322874
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy0.296875
(*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))))
accuracy30.134753987180986
#s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))
accuracy0.2265625
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
accuracy0.809942178689313
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))
accuracy10.51861760774828
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))
accuracy29.890085270076348
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
accuracy0.27181625976844204
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))
accuracy0.3379678089566389
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))
accuracy5.606706534265138
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
accuracy27.42145888273907
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
accuracy4.473530963356587
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
accuracy0.02734375
(/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)))
accuracy0.05535126953688403
(fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))
accuracy0.06089341654524322
(log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u))
accuracy0.10535794281390148
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Samples
177.0ms256×0valid
Compiler

Compiled 423 to 65 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-log: 82.0ms (53% of total)
ival-mult: 27.0ms (17.5% of total)
ival-add: 19.0ms (12.3% of total)
ival-div: 12.0ms (7.8% of total)
const: 6.0ms (3.9% of total)
ival-exp: 2.0ms (1.3% of total)
ival-expm1: 2.0ms (1.3% of total)
ival-sub: 2.0ms (1.3% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series132.0ms (0.8%)

Memory
22.2MiB live, 137.1MiB allocated
Counts
23 → 504
Calls
Call 1
Inputs
#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32)) (patch (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) (patch (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u) (patch (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32)) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) (patch (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))) (patch (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) (patch (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))) #<representation binary32>) () ())
#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))))) #<representation binary32>) () ())
#s(alt (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))) (patch (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) (patch #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #<representation binary32>) () ())
#s(alt (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) (patch (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 #s(literal -2 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
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#s(alt #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))) (patch #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))) #<representation binary32>) () ())
#s(alt (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)) (patch (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (patch (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #<representation binary32>) () ())
#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())
Outputs
#s(alt 1 (taylor 0 v) (#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))))) (taylor 0 v) (#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))))) (taylor 0 v) (#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))))) (taylor 0 v) (#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (/ 1 v)))) (taylor inf v) (#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v))))) (taylor inf v) (#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/6 (/ (+ (* -16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))) (+ (* -8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v)))))) (taylor inf v) (#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* v (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (taylor -inf v) (#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v))))) (taylor -inf v) (#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (+ (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v)))) v))))) (taylor -inf v) (#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (+ (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* -1 (/ (+ (* -1/2 (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))))) (* 1/6 (/ (+ (* -24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (+ (* 8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))))) v))) v)))) v))))) (taylor -inf v) (#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt -1 (taylor 0 u) (#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
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#s(alt (/ 4/3 (pow v 2)) (taylor inf v) (#s(alt (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (patch (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ 4/3 (pow v 2)) (taylor inf v) (#s(alt (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (patch (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ 4/3 (pow v 2)) (taylor -inf v) (#s(alt (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (patch (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ 4/3 (pow v 2)) (taylor -inf v) (#s(alt (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (patch (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ 4/3 (pow v 2)) (taylor -inf v) (#s(alt (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (patch (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (/ 4/3 (pow v 2)) (taylor -inf v) (#s(alt (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (patch (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #<representation binary32>) () ())) ())
#s(alt (- (exp (/ 2 v)) 1) (taylor 0 v) (#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (- (exp (/ 2 v)) 1) (taylor 0 v) (#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (- (exp (/ 2 v)) 1) (taylor 0 v) (#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (- (exp (/ 2 v)) 1) (taylor 0 v) (#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (/ 2 v) (taylor inf v) (#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 v))) v) (taylor inf v) (#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v) (taylor inf v) (#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v) (taylor inf v) (#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (/ 2 v) (taylor -inf v) (#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 v))) v) (taylor -inf v) (#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)) (taylor -inf v) (#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v)) (taylor -inf v) (#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())) ())
Calls

126 calls:

TimeVariablePointExpression
28.0ms
v
@0
(+ (* v (log (+ (* (+ (* u (neg u)) 1) (/ (exp (/ -2 v)) (+ u 1))) u))) 1)
15.0ms
u
@0
(+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)))
14.0ms
v
@0
(log (+ (* (+ (* u (neg u)) 1) (/ (exp (/ -2 v)) (+ u 1))) u))
2.0ms
v
@inf
(+ (* v (log (+ (* (+ (* u (neg u)) 1) (/ (exp (/ -2 v)) (+ u 1))) u))) 1)
2.0ms
v
@-inf
(+ (* v (log (+ (* (+ (* u (neg u)) 1) (/ (exp (/ -2 v)) (+ u 1))) u))) 1)

simplify603.0ms (3.8%)

Memory
-88.0MiB live, 488.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 294×lower-fma.f64
8 294×lower-fma.f32
4 834×lower-*.f64
4 834×lower-*.f32
4 518×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085615462
1262413994
0849213015
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
1
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(* v (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (/ 1 v))))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v)))))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/6 (/ (+ (* -16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))) (+ (* -8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v))))))
(* v (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v)))))
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (+ (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v)))) v)))))
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (+ (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* -1 (/ (+ (* -1/2 (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))))) (* 1/6 (/ (+ (* -24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (+ (* 8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))))) v))) v)))) v)))))
-1
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(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
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1
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (+ 1 (* -1 (pow u 2)))) (+ 1 u))))))
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(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (+ 1 (* -1 (pow u 2)))) (+ 1 u))))))
(* v (log (+ u (+ (* -1 (/ (pow u 2) (+ 1 u))) (/ 1 (+ 1 u))))))
(* v (+ (log (+ u (+ (* -1 (/ (pow u 2) (+ 1 u))) (/ 1 (+ 1 u))))) (+ (* -2 (/ (+ 1 (* -1 (pow u 2))) (* v (* (+ 1 u) (+ u (+ (* -1 (/ (pow u 2) (+ 1 u))) (/ 1 (+ 1 u)))))))) (/ 1 v))))
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(* v (+ (log (+ u (+ (* -1 (/ (pow u 2) (+ 1 u))) (/ 1 (+ 1 u))))) (+ (* -2 (/ (+ 1 (* -1 (pow u 2))) (* v (* (+ 1 u) (+ u (+ (* -1 (/ (pow u 2) (+ 1 u))) (/ 1 (+ 1 u)))))))) (+ (* 1/6 (/ (+ (* -16 (/ (pow (+ 1 (* -1 (pow u 2))) 3) (* (pow (+ 1 u) 3) (pow (+ u (+ (* -1 (/ (pow u 2) (+ 1 u))) (/ 1 (+ 1 u)))) 3)))) (+ (* -8 (/ (+ 1 (* -1 (pow u 2))) (* (+ 1 u) (+ u (+ (* -1 (/ (pow u 2) (+ 1 u))) (/ 1 (+ 1 u))))))) (* 24 (/ (pow (+ 1 (* -1 (pow u 2))) 2) (* (pow (+ 1 u) 2) (pow (+ u (+ (* -1 (/ (pow u 2) (+ 1 u))) (/ 1 (+ 1 u)))) 2)))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (+ 1 (* -1 (pow u 2))) 2) (* (pow (+ 1 u) 2) (pow (+ u (+ (* -1 (/ (pow u 2) (+ 1 u))) (/ 1 (+ 1 u)))) 2)))) (* 4 (/ (+ 1 (* -1 (pow u 2))) (* (+ 1 u) (+ u (+ (* -1 (/ (pow u 2) (+ 1 u))) (/ 1 (+ 1 u)))))))) (pow v 2))) (/ 1 v))))))
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-1
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(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
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(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (- 1 (exp (/ -2 v))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (- 1 (exp (/ -2 v))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
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(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(/ -2 v)
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
(- (* u (- (exp (/ 2 v)) 1)) (* 2 (/ 1 v)))
(* u (- (exp (/ 2 v)) 1))
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))
(* u (- (exp (/ 2 v)) 1))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(/ -2 v)
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(/ (- (* 2 u) 2) v)
(/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v)
(/ (- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2) v)
(/ (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2) v)
(* -1 (/ (+ 2 (* -2 u)) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v))
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 v))
1
(- 1 (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
1
(- 1 (* 2 (/ 1 v)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(/ (exp (/ -2 v)) (+ 1 u))
(/ (exp (/ -2 v)) (+ 1 u))
(/ (exp (/ -2 v)) (+ 1 u))
(/ (exp (/ -2 v)) (+ 1 u))
(/ 1 (+ 1 u))
(- (/ 1 (+ 1 u)) (* 2 (/ 1 (* v (+ 1 u)))))
(- (+ (/ 1 (+ 1 u)) (/ 2 (* (pow v 2) (+ 1 u)))) (/ 2 (* v (+ 1 u))))
(- (+ (* 2 (/ 1 (* (pow v 2) (+ 1 u)))) (/ 1 (+ 1 u))) (+ (* 4/3 (/ 1 (* (pow v 3) (+ 1 u)))) (/ 2 (* v (+ 1 u)))))
(/ 1 (+ 1 u))
(- (/ 1 (+ 1 u)) (* 2 (/ 1 (* v (+ 1 u)))))
(+ (* -1 (/ (- (* 2 (/ 1 (+ 1 u))) (* 2 (/ 1 (* v (+ 1 u))))) v)) (/ 1 (+ 1 u)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 u))) (* 4/3 (/ 1 (* v (+ 1 u))))) v)) (* 2 (/ 1 (+ 1 u)))) v)) (/ 1 (+ 1 u)))
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))
(+ (exp (/ -2 v)) (* u (- (* u (exp (/ -2 v))) (exp (/ -2 v)))))
(+ (exp (/ -2 v)) (* u (- (* u (- (* -1 (* u (exp (/ -2 v)))) (* -1 (exp (/ -2 v))))) (exp (/ -2 v)))))
(/ (exp (/ -2 v)) u)
(/ (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) u)
(/ (- (+ (exp (/ -2 v)) (/ (exp (/ -2 v)) (pow u 2))) (/ (exp (/ -2 v)) u)) u)
(/ (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) (pow u 3)))) (+ (* -1 (/ (exp (/ -2 v)) (pow u 2))) (/ (exp (/ -2 v)) u))) u)
(/ (exp (/ -2 v)) u)
(* -1 (/ (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)) u))
(* -1 (/ (+ (* -1 (exp (/ -2 v))) (* -1 (/ (- (/ (exp (/ -2 v)) u) (exp (/ -2 v))) u))) u))
(* -1 (/ (+ (* -1 (exp (/ -2 v))) (* -1 (/ (- (* -1 (/ (- (/ (exp (/ -2 v)) u) (exp (/ -2 v))) u)) (exp (/ -2 v))) u))) u))
-2
(- (* u (* v (- (exp (/ 2 v)) 1))) 2)
(- (* u (* v (- (exp (/ 2 v)) 1))) 2)
(- (* u (* v (- (exp (/ 2 v)) 1))) 2)
(- (* 2 u) 2)
(- (+ (* 2 u) (* 2 (/ u v))) 2)
(- (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v)))) 2)
(- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2)
(- (* 2 u) 2)
(- (+ (* 2 u) (* 2 (/ u v))) 2)
(- (+ (* -1 (/ (+ (* -2 u) (* -4/3 (/ u v))) v)) (* 2 u)) 2)
(- (+ (* -1 (/ (+ (* -2 u) (* -1 (/ (+ (* 2/3 (/ u v)) (* 4/3 u)) v))) v)) (* 2 u)) 2)
-2
(- (* u (* v (- (exp (/ 2 v)) 1))) 2)
(- (* u (* v (- (exp (/ 2 v)) 1))) 2)
(- (* u (* v (- (exp (/ 2 v)) 1))) 2)
(* u (* v (- (exp (/ 2 v)) 1)))
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u))))
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u))))
(* u (- (* v (- (exp (/ 2 v)) 1)) (* 2 (/ 1 u))))
(* u (* v (- (exp (/ 2 v)) 1)))
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u)))))
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u)))))
(* -1 (* u (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (* 2 (/ 1 u)))))
-2
(- (* 4/3 (/ u (pow v 2))) 2)
(- (* 4/3 (/ u (pow v 2))) 2)
(- (* 4/3 (/ u (pow v 2))) 2)
(* 4/3 (/ u (pow v 2)))
(* u (- (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 u))))
(* u (- (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 u))))
(* u (- (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 u))))
(* 4/3 (/ u (pow v 2)))
(* -1 (* u (- (* 2 (/ 1 u)) (* 4/3 (/ 1 (pow v 2))))))
(* -1 (* u (- (* 2 (/ 1 u)) (* 4/3 (/ 1 (pow v 2))))))
(* -1 (* u (- (* 2 (/ 1 u)) (* 4/3 (/ 1 (pow v 2))))))
(* 4/3 (/ u (pow v 2)))
(/ (+ (* -2 (pow v 2)) (* 4/3 u)) (pow v 2))
(/ (+ (* -2 (pow v 2)) (* 4/3 u)) (pow v 2))
(/ (+ (* -2 (pow v 2)) (* 4/3 u)) (pow v 2))
-2
(- (* 4/3 (/ u (pow v 2))) 2)
(- (* 4/3 (/ u (pow v 2))) 2)
(- (* 4/3 (/ u (pow v 2))) 2)
-2
(- (* 4/3 (/ u (pow v 2))) 2)
(- (* 4/3 (/ u (pow v 2))) 2)
(- (* 4/3 (/ u (pow v 2))) 2)
(/ 4/3 (pow v 2))
(/ 4/3 (pow v 2))
(/ 4/3 (pow v 2))
(/ 4/3 (pow v 2))
(/ 4/3 (pow v 2))
(/ 4/3 (pow v 2))
(/ 4/3 (pow v 2))
(/ 4/3 (pow v 2))
(/ 4/3 (pow v 2))
(/ 4/3 (pow v 2))
(/ 4/3 (pow v 2))
(/ 4/3 (pow v 2))
(- (exp (/ 2 v)) 1)
(- (exp (/ 2 v)) 1)
(- (exp (/ 2 v)) 1)
(- (exp (/ 2 v)) 1)
(/ 2 v)
(/ (+ 2 (* 2 (/ 1 v))) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v)
(/ 2 v)
(/ (+ 2 (* 2 (/ 1 v))) v)
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
(* v (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))
(*.f32 v (log.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (/ 1 v))))
(*.f32 v (+.f32 (log.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (fma.f32 v u v))) (/.f32 #s(literal 1 binary32) v))))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v)))))
(*.f32 v (+.f32 (log.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (fma.f32 v u v))) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u))))) (/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 (*.f32 u u)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))))) (*.f32 v v))))))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/6 (/ (+ (* -16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))) (+ (* -8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v))))))
(*.f32 v (+.f32 (log.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))) (+.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u))))) #s(literal 24 binary32) (fma.f32 (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))))) #s(literal -8 binary32) (/.f32 (*.f32 #s(literal -16 binary32) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))))) (*.f32 (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)))))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u))))) (/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 (*.f32 u u)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))))) (*.f32 v v))) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (fma.f32 v u v))) (/.f32 #s(literal 1 binary32) v)))))
(* v (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))
(*.f32 v (log.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))))
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v)))))
(*.f32 (-.f32 (neg.f32 (log.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))))) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32)) v)) (neg.f32 v))
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (+ (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v)))) v)))))
(*.f32 v (neg.f32 (neg.f32 (+.f32 (log.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))))) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u))))) (/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 (*.f32 u u)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))))) v))) v)))))
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (+ (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* -1 (/ (+ (* -1/2 (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))))) (* 1/6 (/ (+ (* -24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (+ (* 8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))))) v))) v)))) v)))))
(neg.f32 (*.f32 v (-.f32 (neg.f32 (log.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))))) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u))))) #s(literal -24 binary32) (fma.f32 (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))))) #s(literal 8 binary32) (/.f32 (*.f32 #s(literal 16 binary32) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))))) (*.f32 (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)))))))) v) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)))))))) v)) v))))
-1
#s(literal -1 binary32)
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-1
#s(literal -1 binary32)
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-2
#s(literal -2 binary32)
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(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))
(- (* 4/3 (/ u (pow v 2))) 2)
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))
(- (* 4/3 (/ u (pow v 2))) 2)
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))
-2
#s(literal -2 binary32)
(- (* 4/3 (/ u (pow v 2))) 2)
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))
(- (* 4/3 (/ u (pow v 2))) 2)
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))
(- (* 4/3 (/ u (pow v 2))) 2)
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))
(/ 4/3 (pow v 2))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(/ 4/3 (pow v 2))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(/ 4/3 (pow v 2))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(/ 4/3 (pow v 2))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(/ 4/3 (pow v 2))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(/ 4/3 (pow v 2))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(/ 4/3 (pow v 2))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(/ 4/3 (pow v 2))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(/ 4/3 (pow v 2))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(/ 4/3 (pow v 2))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(/ 4/3 (pow v 2))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(/ 4/3 (pow v 2))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(- (exp (/ 2 v)) 1)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(- (exp (/ 2 v)) 1)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(- (exp (/ 2 v)) 1)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(- (exp (/ 2 v)) 1)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (* 2 (/ 1 v))) v)
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) v)
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (* 2 (/ 1 v))) v)
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(neg.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) (neg.f32 v))) v))

rewrite306.0ms (1.9%)

Memory
25.0MiB live, 407.7MiB allocated
Rules
4 126×lower-fma.f64
4 106×lower-fma.f32
4 012×lower-*.f64
4 006×lower-*.f32
2 896×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068488
0107463
1495417
24186417
08166396
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 398
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32)))
(fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32))
(log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))))
#s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32)))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))
(fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
Outputs
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
(+.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(fma.f32 v (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (*.f32 v #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) v) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) v #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))) (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))
(/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))
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(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))))
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(/.f32 (neg.f32 (fma.f32 (*.f32 u (*.f32 u u)) (/.f32 #s(literal 64/27 binary32) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 v (*.f32 v v)))) #s(literal -8 binary32))) (neg.f32 (+.f32 (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 (*.f32 v v) (*.f32 v v))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -2 binary32)) (*.f32 v v))))))
(/.f32 (neg.f32 (+.f32 (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -4 binary32))) (neg.f32 (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 (*.f32 v v) (*.f32 v v)))) (-.f32 #s(literal -2 binary32) (/.f32 u (*.f32 (*.f32 v v) #s(literal 3/4 binary32)))))
(*.f32 (fma.f32 (*.f32 u (*.f32 u u)) (/.f32 #s(literal 64/27 binary32) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 v (*.f32 v v)))) #s(literal -8 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 (*.f32 v v) (*.f32 v v))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) #s(literal -2 binary32)) (*.f32 v v))))))
(*.f32 (+.f32 (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(neg.f32 (/.f32 #s(literal -4/3 binary32) (*.f32 v v)))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 v v) #s(literal 3/4 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (*.f32 v v) #s(literal 3/4 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 v v) #s(literal 3/4 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 v (/.f32 #s(literal 4/3 binary32) v)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v v) #s(literal 3/4 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 v v) #s(literal 3/4 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 4/3 binary32) v)))
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
(/.f32 #s(literal 4/3 binary32) (neg.f32 (neg.f32 (*.f32 v v))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 v v) #s(literal 3/4 binary32))))
(/.f32 #s(literal -4/3 binary32) (neg.f32 (*.f32 v v)))
(/.f32 (/.f32 #s(literal 4/3 binary32) v) v)
(/.f32 (neg.f32 (/.f32 #s(literal 4/3 binary32) v)) (neg.f32 v))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))
(*.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(*.f32 #s(literal -4/3 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 v v))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 4/3 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 4/3 binary32))
(*.f32 (/.f32 #s(literal 4/3 binary32) v) (/.f32 #s(literal 1 binary32) v))
(+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
(pow.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (expm1.f32 (/.f32 #s(literal 4 binary32) v))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (expm1.f32 (/.f32 #s(literal 4 binary32) v))))
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))))
(/.f32 (expm1.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (expm1.f32 (/.f32 #s(literal 4 binary32) v)) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))
(/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal 4 binary32) v))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(*.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 4 binary32) v)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))
(*.f32 (expm1.f32 (/.f32 #s(literal 4 binary32) v)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(expm1.f32 (*.f32 (log.f32 (exp.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v)))

eval320.0ms (2%)

Memory
-25.6MiB live, 201.7MiB allocated
Compiler

Compiled 34 131 to 2 223 computations (93.5% saved)

prune198.0ms (1.3%)

Memory
27.8MiB live, 438.5MiB allocated
Pruning

47 alts after pruning (43 fresh and 4 done)

PrunedKeptTotal
New87923902
Fresh52025
Picked325
Done123
Total88847935
Accuracy
100.0%
Counts
935 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
▶10.4%
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
99.5%
(+.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32))
99.5%
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (neg.f32 (*.f32 u u))))))))
94.9%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
✓10.4%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
13.6%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
✓10.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
7.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
11.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(approx (* (- 1 u) (- 1 u)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
12.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (fma.f32 u (fma.f32 u #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
12.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (*.f32 (*.f32 u u) #s(literal -16 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
12.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (+.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 v #s(literal 6 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal -1/2 binary32))))) (*.f32 (*.f32 v #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) u))) v)))))
11.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
12.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)))))
14.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
▶7.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
8.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -4 binary32)))))))))
11.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(approx (+ (* u (/ 4/3 (* v v))) -2) #s(literal -2 binary32)))))))
10.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (*.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) u))))))))))
10.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)))))
10.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (*.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) u))))))
11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))))))
11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))))))
11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (-.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) (neg.f32 u))))))
11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 u (+.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) u)))))))
10.4%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
99.5%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (neg.f32 (*.f32 u u)))))) #s(literal 1 binary32)))
98.2%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) #s(approx (/ (exp (/ -2 v)) (+ u 1)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) u)) #s(literal 1 binary32)))
▶99.6%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
94.9%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 #s(approx (+ (* (+ (* u (neg u)) 1) (/ (exp (/ -2 v)) (+ u 1))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #s(literal 1 binary32)))
✓86.0%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
14.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
5.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)))
11.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) v)))
12.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 v v)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v)))))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
▶14.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))))
▶14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
14.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
✓5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 2 306 to 1 335 computations (42.1% saved)

simplify360.0ms (2.3%)

Memory
0.1MiB live, 558.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
cost-diff0
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))
cost-diff0
#s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))
cost-diff0
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
cost-diff0
#s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))))
cost-diff64
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
cost-diff1440
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))
cost-diff0
(fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))
cost-diff0
#s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
cost-diff352
(fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))
cost-diff0
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
cost-diff0
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
cost-diff0
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
cost-diff0
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
cost-diff0
(fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
cost-diff64
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
Rules
26 226×lower-fma.f64
26 214×lower-fma.f32
2 770×lower-*.f64
2 762×lower-*.f32
2 556×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078587
0110559
1212553
2456541
31315506
43912506
57828506
08154478
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
(fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
v
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
u
#s(literal 2 binary32)
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)))
(fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))
u
(fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
#s(literal 2 binary32)
(/.f32 #s(literal 2 binary32) v)
#s(literal -1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))))
#s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))))
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))
(*.f32 u u)
u
(+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))
(/.f32 #s(literal 2 binary32) u)
#s(literal 2 binary32)
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
(+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal 2 binary32) (*.f32 v u))
(*.f32 v u)
v
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 u u))
#s(literal 1 binary32)
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
#s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))
u
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
#s(literal 1 binary32)
Outputs
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
v
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
u
#s(literal 2 binary32)
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)))
#s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal -1 binary32)))
(fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))
(fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal -1 binary32))
u
(fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
#s(literal 2 binary32)
(/.f32 #s(literal 2 binary32) v)
#s(literal -1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))))
#s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal -1 binary32)))
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))
(fma.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal -1 binary32))
(*.f32 u u)
u
(+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))
(+.f32 (/.f32 #s(literal 2 binary32) u) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (+.f32 #s(literal -4 binary32) (/.f32 #s(literal 4 binary32) u)) (/.f32 #s(literal -1 binary32) (*.f32 u u))))
(/.f32 #s(literal 2 binary32) u)
#s(literal 2 binary32)
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (+.f32 #s(literal -4 binary32) (/.f32 #s(literal 4 binary32) u)) (/.f32 #s(literal -1 binary32) (*.f32 u u)))
(+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v))
(+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 v u)))
(/.f32 #s(literal 2 binary32) (*.f32 v u))
(*.f32 v u)
v
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 u u))
#s(literal 1 binary32)
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(fma.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32))
#s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))
u
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
#s(literal 1 binary32)

localize213.0ms (1.4%)

Memory
10.8MiB live, 355.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05535126953688403
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
accuracy0.12566377088049835
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))
accuracy0.1306107784322874
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy30.134753987180986
#s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))
accuracy0.2734375
(/.f32 #s(literal 1 binary32) (*.f32 u u))
accuracy0.42446007203803615
(+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v))
accuracy2.4174199731187525
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))
accuracy27.42145888273907
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))))
accuracy0.01953125
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
accuracy0.30078125134361433
(fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))
accuracy0.38015298195543623
(fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))
accuracy27.42145888273907
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
accuracy0
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
accuracy0.05128626178494127
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
accuracy29.890085270076348
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
accuracy30.528146522787114
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
accuracy0.01171875
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
accuracy0.05535126953688403
(fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
accuracy0.06089341654524322
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
accuracy0.10535794281390148
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Samples
149.0ms256×0valid
Compiler

Compiled 410 to 69 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 70.0ms (54.8% of total)
ival-add: 22.0ms (17.2% of total)
ival-div: 19.0ms (14.9% of total)
ival-log: 8.0ms (6.3% of total)
ival-sub: 3.0ms (2.3% of total)
ival-exp: 2.0ms (1.6% of total)
ival-expm1: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory
-17.9MiB live, 73.5MiB allocated
Counts
24 → 516
Calls
Call 1
Inputs
#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)) (patch (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) (patch (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (patch #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (patch (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) (patch (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))) (patch #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) (patch (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) (patch (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) #<representation binary32>) () ())
#s(alt (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u))) (patch (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))) (patch #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) (patch (fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) (patch #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #<representation binary32>) () ())
#s(alt (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) (patch (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 #s(literal -2 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (patch (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (patch (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (*.f32 u u)) (patch (/.f32 #s(literal 1 binary32) (*.f32 u u)) #<representation binary32>) () ())
Outputs
#s(alt (+ u (* (exp (/ -2 v)) (- 1 u))) (taylor 0 v) (#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
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Calls

129 calls:

TimeVariablePointExpression
4.0ms
u
@inf
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1))
1.0ms
v
@0
(* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u)))))
1.0ms
v
@inf
(* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u)))))
1.0ms
v
@-inf
(* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u)))))
0.0ms
u
@0
(+ (* u (/ -2 v)) (+ 2 (/ 2 v)))

simplify320.0ms (2%)

Memory
15.5MiB live, 449.4MiB allocated
Algorithm
1×egg-herbie
Rules
10 376×lower-fma.f64
10 376×lower-fma.f32
5 108×lower-*.f64
5 108×lower-*.f32
3 920×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070512724
1203311869
2623011500
0827610399
Stop Event
1×iter limit
1×node limit
Counts
516 → 516
Calls
Call 1
Inputs
(+ u (* (exp (/ -2 v)) (- 1 u)))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(+ u (* (exp (/ -2 v)) (- 1 u)))
1
(+ 1 (* -2 (/ (- 1 u) v)))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
1
(+ 1 (* -2 (/ (- 1 u) v)))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* -1 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
1
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(* v (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (/ 1 v))))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v)))))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/6 (/ (+ (* -16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))) (+ (* -8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v))))))
(* v (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v)))))
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (+ (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v)))) v)))))
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (+ (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* -1 (/ (+ (* -1/2 (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))))) (* 1/6 (/ (+ (* -24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (+ (* 8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))))) v))) v)))) v)))))
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(* -2 (/ (- 1 u) v))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(* -2 (/ (- 1 u) v))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
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(+ u (* (exp (/ -2 v)) (- 1 u)))
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(+ u (* (exp (/ -2 v)) (- 1 u)))
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(+ u (* (exp (/ -2 v)) (- 1 u)))
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(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
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(/.f32 (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)) v)
(/ (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2) v)
(/.f32 (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) v)
(* -1 (/ (+ 2 (* -2 u)) v))
(/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v)
(* -1 (/ (+ 2 (+ (* -2 u) (* -2 (/ u v)))) v))
(/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* 4/3 (/ u v)) (* 2 u)) v)))) v))
(/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v))) v)) (neg.f32 v))
(* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ (* -1 (/ (+ (* -4/3 u) (* -2/3 (/ u v))) v)) (* 2 u)) v)))) v))
(/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (/.f32 (*.f32 u #s(literal -2/3 binary32)) v)) (neg.f32 v))) v)) (neg.f32 v))
(- (exp (/ 2 v)) 1)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(- (exp (/ 2 v)) 1)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(- (exp (/ 2 v)) 1)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(- (exp (/ 2 v)) 1)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (* 2 (/ 1 v))) v)
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v)
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v)
(/.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v)))) v)
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (* 2 (/ 1 v))) v)
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (/ 2/3 (pow v 2)) (* 4/3 (/ 1 v)))) v)) 2) v))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (/.f32 #s(literal -4/3 binary32) (*.f32 v (*.f32 v v))))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) v))
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (* 2 v)) v)
(/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) v)
(/ (+ 2 (* 2 v)) v)
(/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) v)
(/ (+ 2 (* 2 v)) v)
(/.f32 (fma.f32 v #s(literal 2 binary32) #s(literal 2 binary32)) v)
2
#s(literal 2 binary32)
(+ 2 (* 2 (/ 1 v)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
(+ 2 (* 2 (/ 1 v)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
(+ 2 (* 2 (/ 1 v)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
2
#s(literal 2 binary32)
(+ 2 (* 2 (/ 1 v)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
(+ 2 (* 2 (/ 1 v)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
(+ 2 (* 2 (/ 1 v)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
(/ (- (* 2 (/ 1 u)) 2) v)
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(/ (- (* 2 (/ 1 u)) 2) v)
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(/ (- (* 2 (/ 1 u)) 2) v)
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(/ (- (* 2 (/ 1 u)) 2) v)
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(/ (- (* 2 (/ 1 u)) 2) v)
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(/ (- (* 2 (/ 1 u)) 2) v)
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(/ (- (* 2 (/ 1 u)) 2) v)
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(/ (- (* 2 (/ 1 u)) 2) v)
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(* -1 (/ (- 2 (* 2 (/ 1 u))) v))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(* -1 (/ (- 2 (* 2 (/ 1 u))) v))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(* -1 (/ (- 2 (* 2 (/ 1 u))) v))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(* -1 (/ (- 2 (* 2 (/ 1 u))) v))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(/ 2 (* u v))
(/.f32 #s(literal 2 binary32) (*.f32 u v))
(/ (+ (* -2 (/ u v)) (* 2 (/ 1 v))) u)
(/.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 u) #s(literal 2 binary32)) v) u)
(/ (+ (* -2 (/ u v)) (* 2 (/ 1 v))) u)
(/.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 u) #s(literal 2 binary32)) v) u)
(/ (+ (* -2 (/ u v)) (* 2 (/ 1 v))) u)
(/.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 u) #s(literal 2 binary32)) v) u)
(/ -2 v)
(/.f32 #s(literal -2 binary32) v)
(- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(/ -2 v)
(/.f32 #s(literal -2 binary32) v)
(- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(- (* 2 (/ 1 (* u v))) (* 2 (/ 1 v)))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) u)) v)
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))

rewrite303.0ms (1.9%)

Memory
-24.0MiB live, 449.4MiB allocated
Rules
5 170×lower-fma.f64
5 158×lower-fma.f32
4 924×lower-*.f64
4 916×lower-*.f32
2 344×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078502
0110493
1545457
25393457
08095431
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 423
Calls
Call 1
Inputs
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
(fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
(fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)))
(fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))))
#s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
#s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))
(fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
(+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
Outputs
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(pow.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u u)) (fma.f32 u (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (fma.f32 u (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u u))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(fma.f32 #s(literal 1 binary32) u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(fma.f32 u #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) u)
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) u)
(fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) u)
(fma.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u) u)
(fma.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (-.f32 (fma.f32 u u #s(literal 1 binary32)) u) u)
(-.f32 (/.f32 (*.f32 u u) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))
(-.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u))) (/.f32 (*.f32 u u) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u u)) (fma.f32 u (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (fma.f32 u (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u u))))
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(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))
(fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32) #s(literal 2 binary32))
(-.f32 (/.f32 #s(literal 4 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))) (/.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)) (fma.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)) #s(literal 8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))
(/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)) #s(literal 8 binary32)) (fma.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32)))
(/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)) #s(literal 8 binary32)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) v))))
(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)) #s(literal 8 binary32))) (neg.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 v v)))) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) #s(literal 4 binary32)) (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)))
(*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) #s(literal 4 binary32))))
(*.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))
(+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 v u)))
(+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v))
(pow.f32 (/.f32 (*.f32 v (*.f32 v u)) (fma.f32 #s(literal -2 binary32) (*.f32 v u) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))) (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v u))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)) (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))) (/.f32 #s(literal 4 binary32) (*.f32 v v)))) #s(literal -1 binary32))
(fma.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 v u)))
(fma.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 u))) (/.f32 #s(literal -2 binary32) v))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 v u)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v))
(fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v))
(fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 v)) (/.f32 #s(literal 2 binary32) (*.f32 v u)))
(fma.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 1 binary32) u) (/.f32 #s(literal -2 binary32) v))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 v u)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) u) (/.f32 #s(literal -2 binary32) v))
(fma.f32 (/.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) v))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v u)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))
(-.f32 (/.f32 (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 2 binary32) v))) (/.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (*.f32 v u)) (fma.f32 #s(literal -2 binary32) (*.f32 v u) (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))) (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v u))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)) (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))
(/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 v u) (*.f32 v #s(literal 2 binary32))) (*.f32 v (*.f32 v u)))
(/.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)) (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))))) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))) (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v u))))))
(/.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)) (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))))) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v u))))))
(/.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 v (neg.f32 u)) (*.f32 v #s(literal -2 binary32))) (*.f32 v (*.f32 v (neg.f32 u))))
(/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 v (*.f32 u #s(literal 1/2 binary32))) (*.f32 v #s(literal 1 binary32))) (*.f32 v (*.f32 v (*.f32 u #s(literal 1/2 binary32)))))
(/.f32 (fma.f32 #s(literal -2 binary32) u (*.f32 v (/.f32 #s(literal 2 binary32) v))) (*.f32 v u))
(/.f32 (fma.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 u)) (*.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal -2 binary32))) (*.f32 (*.f32 v #s(literal -1/2 binary32)) (*.f32 v (neg.f32 u))))
(/.f32 (fma.f32 #s(literal 1 binary32) (*.f32 v (*.f32 u #s(literal 1/2 binary32))) (*.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 v #s(literal -1/2 binary32)) (*.f32 v (*.f32 u #s(literal 1/2 binary32)))))
(/.f32 (fma.f32 #s(literal 1 binary32) (*.f32 v u) (*.f32 (*.f32 v #s(literal -1/2 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 v #s(literal -1/2 binary32)) (*.f32 v u)))
(/.f32 (+.f32 u (*.f32 (*.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 2 binary32) v))) (*.f32 (*.f32 v #s(literal -1/2 binary32)) u))
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 v (neg.f32 u)) (*.f32 (neg.f32 v) #s(literal -2 binary32))) (*.f32 (neg.f32 v) (*.f32 v (neg.f32 u))))
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 v (*.f32 u #s(literal 1/2 binary32))) (*.f32 (neg.f32 v) #s(literal 1 binary32))) (*.f32 (neg.f32 v) (*.f32 v (*.f32 u #s(literal 1/2 binary32)))))
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 v u) (*.f32 (neg.f32 v) #s(literal 2 binary32))) (*.f32 (neg.f32 v) (*.f32 v u)))
(/.f32 (fma.f32 u #s(literal 2 binary32) (*.f32 (neg.f32 v) (/.f32 #s(literal 2 binary32) v))) (*.f32 v (neg.f32 u)))
(/.f32 (fma.f32 #s(literal -2 binary32) v (*.f32 (*.f32 v (neg.f32 u)) #s(literal -2 binary32))) (*.f32 (*.f32 v (neg.f32 u)) v))
(/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 v #s(literal -1/2 binary32)) (*.f32 (*.f32 v (neg.f32 u)) #s(literal 1 binary32))) (*.f32 (*.f32 v (neg.f32 u)) (*.f32 v #s(literal -1/2 binary32))))
(/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 v) (*.f32 (*.f32 v (neg.f32 u)) #s(literal 2 binary32))) (*.f32 (*.f32 v (neg.f32 u)) (neg.f32 v)))
(/.f32 (fma.f32 #s(literal 1 binary32) v (*.f32 (*.f32 v (*.f32 u #s(literal 1/2 binary32))) #s(literal -2 binary32))) (*.f32 (*.f32 v (*.f32 u #s(literal 1/2 binary32))) v))
(/.f32 (fma.f32 #s(literal 1 binary32) (*.f32 v #s(literal -1/2 binary32)) (*.f32 (*.f32 v (*.f32 u #s(literal 1/2 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 v (*.f32 u #s(literal 1/2 binary32))) (*.f32 v #s(literal -1/2 binary32))))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 v) (*.f32 (*.f32 v (*.f32 u #s(literal 1/2 binary32))) #s(literal 2 binary32))) (*.f32 (*.f32 v (*.f32 u #s(literal 1/2 binary32))) (neg.f32 v)))
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 v #s(literal -1/2 binary32)) (*.f32 (*.f32 v u) #s(literal 1 binary32))) (*.f32 (*.f32 v u) (*.f32 v #s(literal -1/2 binary32))))
(/.f32 (fma.f32 #s(literal 2 binary32) (neg.f32 v) (*.f32 (*.f32 v u) #s(literal 2 binary32))) (*.f32 (*.f32 v u) (neg.f32 v)))
(/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) v (*.f32 #s(literal -2 binary32) u)) (*.f32 v u))
(/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v #s(literal -1/2 binary32)) u) (*.f32 u (*.f32 v #s(literal -1/2 binary32))))
(/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) v) (neg.f32 v) (*.f32 u #s(literal 2 binary32))) (*.f32 v (neg.f32 u)))
(/.f32 (neg.f32 (fma.f32 #s(literal -2 binary32) (*.f32 v u) (*.f32 v #s(literal 2 binary32)))) (neg.f32 (*.f32 v (*.f32 v u))))
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)) (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u)))))) (neg.f32 (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))) (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v u)))))))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))) (/.f32 #s(literal 4 binary32) (*.f32 v v)))) (neg.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 2 binary32) v))))
(/.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u)))) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 v u))))
(/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 v u) (*.f32 v #s(literal 2 binary32))) (*.f32 v u)) v)
(*.f32 (fma.f32 #s(literal -2 binary32) (*.f32 v u) (*.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v u))))
(*.f32 (fma.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 4 binary32) (*.f32 v v)) (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))) (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v u)))))))
(*.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v u) (*.f32 v u))) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal 2 binary32) v))))
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 u u)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 u)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 u) #s(literal -2 binary32)))
(pow.f32 u #s(literal -2 binary32))
(pow.f32 (*.f32 u u) #s(literal -1 binary32))
(pow.f32 (neg.f32 (*.f32 u (neg.f32 u))) #s(literal -1 binary32))
(pow.f32 (/.f32 u (/.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 u (neg.f32 u))))
(/.f32 #s(literal 1 binary32) (/.f32 u (/.f32 #s(literal 1 binary32) u)))
(/.f32 #s(literal -1 binary32) (*.f32 u (neg.f32 u)))
(/.f32 (/.f32 #s(literal 1 binary32) u) u)
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u)) (neg.f32 u))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u u)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) u))
(*.f32 (pow.f32 (pow.f32 u #s(literal 1 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 u #s(literal 1 binary32)) #s(literal -1 binary32)))

eval132.0ms (0.8%)

Memory
21.7MiB live, 176.1MiB allocated
Compiler

Compiled 27 926 to 2 089 computations (92.5% saved)

prune245.0ms (1.6%)

Memory
-25.0MiB live, 465.8MiB allocated
Pruning

54 alts after pruning (46 fresh and 8 done)

PrunedKeptTotal
New92415939
Fresh73138
Picked145
Done044
Total93254986
Accuracy
100.0%
Counts
986 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
✓10.4%
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
11.4%
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) v))) v #s(literal 1 binary32))
10.4%
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
12.1%
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
13.6%
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
11.4%
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (/.f32 (*.f32 u #s(literal -2/3 binary32)) v)) (neg.f32 v))) v)) (neg.f32 v)))) v #s(literal 1 binary32))
99.5%
(+.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32))
99.5%
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (neg.f32 (*.f32 u u))))))))
94.9%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
✓10.4%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
13.6%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
✓10.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
7.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
11.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(approx (* (- 1 u) (- 1 u)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
12.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (fma.f32 u (fma.f32 u #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
12.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (*.f32 (*.f32 u u) #s(literal -16 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
12.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (+.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 v #s(literal 6 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal -1/2 binary32))))) (*.f32 (*.f32 v #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) u))) v)))))
11.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))))
12.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
14.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
✓7.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
8.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -4 binary32)))))))))
11.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(approx (+ (* u (/ 4/3 (* v v))) -2) #s(literal -2 binary32)))))))
10.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (*.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) u))))))))))
10.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)))))
10.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (*.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) u))))))
11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))))))
11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (-.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) (neg.f32 u))))))
11.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 u (+.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) u)))))))
10.4%
#s(approx (+ (* (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -1 binary32)))
5.2%
#s(approx (+ (* (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) v) 1) (fma.f32 u (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32))))) (*.f32 #s(literal -1/2 binary32) u) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32)))
99.5%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (neg.f32 (*.f32 u u)))))) #s(literal 1 binary32)))
98.2%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) #s(approx (/ (exp (/ -2 v)) (+ u 1)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) u)) #s(literal 1 binary32)))
✓99.6%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
94.9%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 #s(approx (+ (* (+ (* u (neg u)) 1) (/ (exp (/ -2 v)) (+ u 1))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #s(literal 1 binary32)))
11.4%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) v) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) v))))
✓86.0%
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
14.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
12.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 v v)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v)))))
14.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
✓14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
7.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))))
✓5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 3 230 to 1 147 computations (64.5% saved)

regimes101.0ms (0.6%)

Memory
24.2MiB live, 213.2MiB allocated
Counts
87 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (+.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 v #s(literal 6 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal -1/2 binary32))))) (*.f32 (*.f32 v #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) u))) v)))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (*.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) u))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -4 binary32)))))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 #s(approx (+ (* (+ (* u (neg u)) 1) (/ (exp (/ -2 v)) (+ u 1))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) #s(approx (/ (exp (/ -2 v)) (+ u 1)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) #s(approx (/ 1 (+ 1 u)) (-.f32 #s(literal 1 binary32) u)) u))))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) v)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)))) v) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) v))))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (neg.f32 (*.f32 u u)))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (neg.f32 (*.f32 u u))))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) v) 1) (fma.f32 u (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32))))) (*.f32 #s(literal -1/2 binary32) u) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32)))
Outputs
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32)))
Calls

4 calls:

29.0ms
u
23.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
23.0ms
v
21.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
99.6%1u
99.6%1v
99.6%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
99.6%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes102.0ms (0.6%)

Memory
30.2MiB live, 211.1MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(approx (* (- 1 u) (- 1 u)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 v v)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -1 binary32)))
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(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -4 binary32)))))))))
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(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
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(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) #s(approx (/ (exp (/ -2 v)) (+ u 1)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) #s(approx (/ 1 (+ 1 u)) (-.f32 #s(literal 1 binary32) u)) u))))
Outputs
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
Calls

4 calls:

31.0ms
v
23.0ms
u
22.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
21.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
99.6%1u
99.6%1v
99.6%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
99.6%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes90.0ms (0.6%)

Memory
-15.5MiB live, 159.1MiB allocated
Counts
73 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 v v)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (+.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 v #s(literal 6 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal -1/2 binary32))))) (*.f32 (*.f32 v #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) u))) v)))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (*.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) u))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -4 binary32)))))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 #s(approx (+ (* (+ (* u (neg u)) 1) (/ (exp (/ -2 v)) (+ u 1))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
Calls

4 calls:

31.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
19.0ms
u
19.0ms
v
17.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
99.5%1u
99.5%1v
99.5%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
99.5%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes118.0ms (0.8%)

Memory
-12.5MiB live, 144.1MiB allocated
Counts
69 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(approx (+ (* u (/ 4/3 (* v v))) -2) #s(literal -2 binary32)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 u (+.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) u)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (*.f32 (*.f32 u u) #s(literal -16 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (/.f32 (*.f32 u #s(literal -2/3 binary32)) v)) (neg.f32 v))) v)) (neg.f32 v)))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (-.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) (neg.f32 u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (fma.f32 u (fma.f32 u #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (*.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) u))))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(approx (* (- 1 u) (- 1 u)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 v v)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (+.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 v #s(literal 6 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal -1/2 binary32))))) (*.f32 (*.f32 v #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) u))) v)))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (*.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) u))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -4 binary32)))))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 #s(approx (+ (* (+ (* u (neg u)) 1) (/ (exp (/ -2 v)) (+ u 1))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #s(literal 1 binary32)))
Outputs
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 #s(approx (+ (* (+ (* u (neg u)) 1) (/ (exp (/ -2 v)) (+ u 1))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
Calls

4 calls:

41.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
37.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
19.0ms
u
18.0ms
v
Results
AccuracySegmentsBranch
94.9%1u
98.1%2v
94.9%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
94.9%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes81.0ms (0.5%)

Memory
23.1MiB live, 176.9MiB allocated
Counts
68 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
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(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -4 binary32)))))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
Calls

4 calls:

21.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
20.0ms
u
19.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
18.0ms
v
Results
AccuracySegmentsBranch
90.0%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
90.0%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
86.0%1u
90.1%2v
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes24.0ms (0.1%)

Memory
-33.1MiB live, 51.8MiB allocated
Counts
64 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(approx (+ (* u (/ 4/3 (* v v))) -2) #s(literal -2 binary32)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 u (+.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) u)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (*.f32 (*.f32 u u) #s(literal -16 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (/.f32 (*.f32 u #s(literal -2/3 binary32)) v)) (neg.f32 v))) v)) (neg.f32 v)))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (-.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) (neg.f32 u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (fma.f32 u (fma.f32 u #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (*.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) u))))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(approx (* (- 1 u) (- 1 u)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 v v)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (+.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 v #s(literal 6 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal -1/2 binary32))))) (*.f32 (*.f32 v #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) u))) v)))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (*.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) u))))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
Calls

1 calls:

17.0ms
v
Results
AccuracySegmentsBranch
90.1%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory
14.6MiB live, 52.9MiB allocated
Counts
62 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(approx (+ (* u (/ 4/3 (* v v))) -2) #s(literal -2 binary32)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 u (+.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) u)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (*.f32 (*.f32 u u) #s(literal -16 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (/.f32 (*.f32 u #s(literal -2/3 binary32)) v)) (neg.f32 v))) v)) (neg.f32 v)))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (-.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) (neg.f32 u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (fma.f32 u (fma.f32 u #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (*.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) u))))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(approx (* (- 1 u) (- 1 u)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 v v)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (+.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 v #s(literal 6 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #s(literal -1/2 binary32))))) (*.f32 (*.f32 v #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) u))) v)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
Calls

1 calls:

17.0ms
v
Results
AccuracySegmentsBranch
90.1%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.1%)

Memory
10.3MiB live, 48.3MiB allocated
Counts
60 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(approx (+ (* u (/ 4/3 (* v v))) -2) #s(literal -2 binary32)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 u (+.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) u)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (*.f32 (*.f32 u u) #s(literal -16 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (/.f32 (*.f32 u #s(literal -2/3 binary32)) v)) (neg.f32 v))) v)) (neg.f32 v)))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (-.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) (neg.f32 u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (fma.f32 u (fma.f32 u #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (*.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) u))))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(approx (* (- 1 u) (- 1 u)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 v v)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -1 binary32)))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
Calls

1 calls:

16.0ms
v
Results
AccuracySegmentsBranch
90.1%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes62.0ms (0.4%)

Memory
-26.0MiB live, 72.8MiB allocated
Counts
56 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(approx (+ (* u (/ 4/3 (* v v))) -2) #s(literal -2 binary32)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 u (+.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) u)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (*.f32 (*.f32 u u) #s(literal -16 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (/.f32 (*.f32 u #s(literal -2/3 binary32)) v)) (neg.f32 v))) v)) (neg.f32 v)))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (-.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) (neg.f32 u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (fma.f32 u (fma.f32 u #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (*.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) u))))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(approx (* (- 1 u) (- 1 u)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 24 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (*.f32 v v)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
Calls

3 calls:

29.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
15.0ms
v
14.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Results
AccuracySegmentsBranch
89.8%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
89.8%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
89.9%2v
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes17.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(approx (+ (* u (/ 4/3 (* v v))) -2) #s(literal -2 binary32)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 u (+.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) u)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (*.f32 (*.f32 u u) #s(literal -16 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (/.f32 (*.f32 u #s(literal -2/3 binary32)) v)) (neg.f32 v))) v)) (neg.f32 v)))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (-.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) (neg.f32 u))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (fma.f32 u (fma.f32 u #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (*.f32 u (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) u))))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(approx (* (- 1 u) (- 1 u)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (fma.f32 u (fma.f32 u #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
Calls

1 calls:

14.0ms
v
Results
AccuracySegmentsBranch
89.9%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes64.0ms (0.4%)

Memory
-11.7MiB live, 64.8MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(approx (+ (* u (/ 4/3 (* v v))) -2) #s(literal -2 binary32)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 2 binary32) u) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 u (+.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) u)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (*.f32 (*.f32 u u) #s(literal -16 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -4/3 binary32) (/.f32 (*.f32 u #s(literal -2/3 binary32)) v)) (neg.f32 v))) v)) (neg.f32 v)))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (*.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) (-.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) (neg.f32 u))))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
Calls

3 calls:

35.0ms
v
13.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
13.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
89.8%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
89.8%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
89.8%2v
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes33.0ms (0.2%)

Memory
20.5MiB live, 58.8MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(approx (+ (* u (/ 4/3 (* v v))) -2) #s(literal -2 binary32)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2))) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) v)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))))
Calls

3 calls:

12.0ms
v
10.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
9.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
89.7%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
89.7%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
89.7%2v
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes36.0ms (0.2%)

Memory
-32.6MiB live, 46.5MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(approx (+ (* u (/ 4/3 (* v v))) -2) #s(literal -2 binary32)))))))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
Calls

3 calls:

12.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
9.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
9.0ms
v
Results
AccuracySegmentsBranch
89.6%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
89.6%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
89.6%2v
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory
26.8MiB live, 26.8MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(approx (+ (* u (/ 4/3 (* v v))) -2) #s(literal -2 binary32)))))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32)))))
Calls

1 calls:

9.0ms
v
Results
AccuracySegmentsBranch
89.6%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
-16.4MiB live, 19.6MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)))))
Calls

1 calls:

12.0ms
v
Results
AccuracySegmentsBranch
89.6%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes25.0ms (0.2%)

Memory
9.5MiB live, 46.8MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (fma.f32 u (/.f32 #s(literal -2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (*.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) u)))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) v)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32)))
Calls

3 calls:

9.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
7.0ms
v
7.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
89.4%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
89.4%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
89.5%2v
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes6.0ms (0%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ 2 (/ 2 v))) (+ (* u (/ 4/3 (* v v))) -2)) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (neg.f32 u) #s(literal -4 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32))))
Calls

1 calls:

5.0ms
v
Results
AccuracySegmentsBranch
89.5%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-37.3MiB live, 11.6MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (*.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32)))
Calls

1 calls:

7.0ms
v
Results
AccuracySegmentsBranch
89.5%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- 1 u) (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2)) 1) #s(approx (* (* u u) (+ (/ 2 u) (- (+ (/ 2 (* v u)) (/ -2 v)) (/ 1 (* u u))))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
Calls

1 calls:

4.0ms
v
Results
AccuracySegmentsBranch
89.4%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) #s(literal 2 binary32)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

3.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
2.0ms
v
2.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
86.0%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
86.0%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
86.0%1v
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes5.0ms (0%)

Memory
12.0MiB live, 11.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Calls

4 calls:

1.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
1.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
1.0ms
u
1.0ms
v
Results
AccuracySegmentsBranch
5.7%1v
5.7%1u
5.7%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
5.7%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.19074903428554535
0.43191078305244446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.19074903428554535
0.43191078305244446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.19074903428554535
0.43191078305244446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch2.0ms (0%)

Memory
-37.5MiB live, 1.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.19074903428554535
0.43191078305244446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.19074903428554535
0.43191078305244446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.08640265464782715
0.09961117804050446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.08640265464782715
0.09961117804050446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.08640265464782715
0.09961117804050446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.08640265464782715
0.09961117804050446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.08640265464782715
0.09961117804050446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.08640265464782715
0.09961117804050446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.08640265464782715
0.09961117804050446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.08640265464782715
0.09961117804050446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.08640265464782715
0.09961117804050446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.08640265464782715
0.09961117804050446
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.08640265464782715
0.09961117804050446
Compiler

Compiled 20 to 17 computations (15% saved)

simplify21.0ms (0.1%)

Memory
-4.0MiB live, 34.7MiB allocated
Algorithm
1×egg-herbie
Rules
52×+-commutative_binary32
34×*-commutative_binary32
18×sub-neg_binary32
16×neg-sub0_binary32
16×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251242
12691242
22881242
33021242
43081242
53091242
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 #s(approx (+ (* (+ (* u (neg u)) 1) (/ (exp (/ -2 v)) (+ u 1))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))))))
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))))))
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32)))
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32)))))
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32))))
(if (<=.f32 v #s(literal 3019899/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))))
(if (<=.f32 v #s(literal 3019899/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (*.f32 u (fma.f32 u (fma.f32 u #s(literal -16 binary32) #s(literal 24 binary32)) #s(literal -8 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v))))))
(if (<=.f32 v #s(literal 3019899/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v))))))
(if (<=.f32 v #s(literal 3019899/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))))
(if (<=.f32 v #s(literal 3019899/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (fma.f32 #s(approx (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)) #s(approx (+ (* u (- (exp (/ 2 v)) 1)) (/ -2 v)) (/.f32 (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32)))
(if (<=.f32 v #s(literal 3019899/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -2 binary32))))))
(if (<=.f32 v #s(literal 3019899/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -2) (fma.f32 u (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) #s(literal 2 binary32)) #s(literal -2 binary32))))))
(if (<=.f32 v #s(literal 3019899/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (/.f32 (fma.f32 v #s(literal -2 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) v)) #s(literal 1 binary32))))
(if (<=.f32 v #s(literal 3019899/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u #s(approx (+ (* u (/ -2 v)) (+ 2 (/ 2 v))) (/.f32 (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) v)) #s(literal -1 binary32)))))
(if (<=.f32 v #s(literal 3019899/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (+ (* (- 1 u) -4) 4) (/ 1/2 v)) -2) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) #s(literal 1 binary32))))
(if (<=.f32 v #s(literal 3019899/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Outputs
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 (+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ (* (* (exp (/ -2 v)) (- 1 (* u u))) (/ 1 (+ 1 u))) u)))) (fma.f32 v (log.f32 #s(approx (+ (* (+ (* u (neg u)) 1) (/ (exp (/ -2 v)) (+ u 1))) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
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soundness4.7s (29.7%)

Memory
28.0MiB live, 1 329.3MiB allocated
Rules
11 468×lower-fma.f64
11 468×lower-fma.f32
10 376×lower-fma.f64
10 376×lower-fma.f32
8 294×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03373014
19352793
230222668
083322386
01253
02053
16953
246653
3488053
0871948
070512724
1203311869
2623011500
0827610399
071810714
1217610232
2700510135
082349295
068488
0107463
1495417
24186417
08166396
085615462
1262413994
0849213015
059374
0101362
1413334
23613334
010265315
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 828 to 391 computations (52.8% saved)

preprocess409.0ms (2.6%)

Memory
38.0MiB live, 263.4MiB allocated
Compiler

Compiled 972 to 286 computations (70.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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