HairBSDF, sample_f, cosTheta

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze109.0ms (1.2%)

Memory
24.5MiB live, 138.9MiB 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)

sample1.5s (16.9%)

Memory
78.1MiB live, 2 780.1MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 916.0ms
const: 228.0ms (24.9% of total)
ival-mult: 137.0ms (15% of total)
ival-<=: 127.0ms (13.9% of total)
ival-div: 88.0ms (9.6% of total)
ival-log: 85.0ms (9.3% of total)
ival-add: 79.0ms (8.6% of total)
ival-exp: 69.0ms (7.5% of total)
ival-sub: 67.0ms (7.3% of total)
ival-and: 23.0ms (2.5% of total)
exact: 11.0ms (1.2% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain162.0ms (1.8%)

Memory
-15.0MiB live, 312.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
58(2.0462568500079215e-5 0.004516355227679014)5(0.08790301531553268 0.02601672150194645)(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-(log.f32 (+.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))sensitivity89
Confusion
Predicted +Predicted -
+04
-8244
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+022
-810234
Precision?
0.1
Recall?
0.5
Freqs
test
numberfreq
0248
18
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
47.0ms512×0valid
Compiler

Compiled 163 to 40 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-exp: 8.0ms (24.9% of total)
ival-mult: 6.0ms (18.7% of total)
ival-log: 5.0ms (15.6% of total)
ival-div: 4.0ms (12.5% of total)
ival-add: 4.0ms (12.5% of total)
ival-sub: 2.0ms (6.2% of total)
exact: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess102.0ms (1.1%)

Memory
7.2MiB live, 46.4MiB 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 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(+.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)

simplify33.0ms (0.4%)

Memory
-20.5MiB live, 19.0MiB 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 (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(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 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
v
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
u
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)

localize40.0ms (0.4%)

Memory
8.3MiB live, 47.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.05535126953688403
(+.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)))))))
accuracy0.05801464469303148
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
accuracy0.1776255877620471
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.29296875
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Samples
29.0ms256×0valid
Compiler

Compiled 73 to 14 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sub: 8.0ms (37.4% of total)
ival-mult: 4.0ms (18.7% of total)
ival-log: 3.0ms (14% of total)
ival-div: 2.0ms (9.4% of total)
ival-add: 2.0ms (9.4% of total)
ival-exp: 2.0ms (9.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series81.0ms (0.9%)

Memory
7.0MiB live, 86.3MiB 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
60.0ms
v
@0
(* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))
7.0ms
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)))))))

simplify212.0ms (2.3%)

Memory
-8.3MiB live, 181.9MiB 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))))))
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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)
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(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
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(+ 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 (/ (+ (* -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 (/ (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
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(* 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)))))
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(+ (* -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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(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
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(/ -2 v)
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(/ (+ (* -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)))
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(+ 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 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
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(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
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(+ 1 (* -2 (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
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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)))))
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-1
#s(literal -1 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #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 (fma.f32 (fma.f32 (*.f32 (*.f32 u v) (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 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
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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))))))
(-.f32 (*.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v) (/.f32 (*.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) 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))))))
(-.f32 (*.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v) (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (*.f32 v (fma.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)) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))) u)) u))
(/ -2 v)
(/.f32 #s(literal -2 binary32) v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.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 (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 u (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u (/.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 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) 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 (/.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)))) #s(literal -1/2 binary32))) u (expm1.f32 (/.f32 #s(literal 2 binary32) v))) u (/.f32 #s(literal -2 binary32) v))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+.f32 (+.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))
(+ (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)))))))))
(fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (+.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))
(+ (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))))))))))
(fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (+.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+ (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 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)))
(+ (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 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 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 (/.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)) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32))) u)) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(* -2 (/ (- 1 u) v))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) 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 (/.f32 (fma.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)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) 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 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 v v) v)) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))) v)
(* -2 (/ (- 1 u) v))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u))) (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 (-.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) #s(literal 1/2 binary32))) 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 (-.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) (*.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/6 binary32))) 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)))
(-.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 (*.f32 v 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))

rewrite243.0ms (2.7%)

Memory
31.0MiB live, 184.8MiB 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
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)))) (fma.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)))
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(+.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 (/.f32 (fma.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (fma.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))
(+.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 (*.f32 (fma.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal -1 binary32) (neg.f32 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (-.f32 (*.f32 (*.f32 (exp.f32 (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (*.f32 u u)))))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32))))
(neg.f32 (neg.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.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 -2 binary32) v)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) v))))
(/.f32 #s(literal 1 binary32) (exp.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 #s(literal -1/2 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 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) v)))
(/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
(pow.f32 (exp.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) v) #s(literal -1/2 binary32))) (pow.f32 (*.f32 #s(literal -1/2 binary32) v) #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (E.f32) (pow.f32 (*.f32 #s(literal -1/2 binary32) v) #s(literal -1/2 binary32))) (pow.f32 (*.f32 #s(literal -1/2 binary32) v) #s(literal -1/2 binary32)))
(pow.f32 (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)) #s(literal 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 (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 (exp.f32 #s(literal -2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(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 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -2 binary32) v))
(pow.f32 (exp.f32 #s(literal -4 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(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 -2 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 #s(literal -2 binary32) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))

eval113.0ms (1.2%)

Memory
2.8MiB live, 86.1MiB allocated
Compiler

Compiled 14 416 to 1 516 computations (89.5% saved)

prune187.0ms (2.1%)

Memory
-24.2MiB live, 128.4MiB allocated
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New33429363
Fresh000
Picked011
Done000
Total33430364
Accuracy
99.9%
Counts
364 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)))) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (fma.f32 (neg.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)))))
▶99.5%
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
99.2%
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (neg.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))) (*.f32 (fma.f32 (neg.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)) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)))) (pow.f32 (fma.f32 (neg.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 2 binary32)))
99.1%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))))
99.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
99.5%
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
✓99.5%
(+.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)))))))
▶8.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
12.3%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))))
11.4%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) #s(literal 1/2 binary32))) v)) (neg.f32 v)))))
6.4%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
11.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 v v) v)) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))))
11.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))))
13.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
8.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
95.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) (*.f32 v (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)))))))
11.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v))))
11.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.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 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))))
99.1%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)))
94.9%
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))) #s(literal -1 binary32)))
4.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u v) (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 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
▶3.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))))
13.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
6.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
8.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
▶11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.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 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
86.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
▶4.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 2 157 to 1 086 computations (49.7% saved)

simplify172.0ms (1.9%)

Memory
22.7MiB live, 129.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
cost-diff128
(*.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 2 binary32) v) #s(literal -2 binary32)))))
cost-diff160
(*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))
cost-diff0
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
cost-diff0
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
cost-diff0
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
cost-diff96
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
cost-diff128
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
cost-diff192
(fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
cost-diff224
(fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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)))))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
cost-diff0
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
cost-diff0
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
Rules
9 350×lower-fma.f64
9 330×lower-fma.f32
3 404×lower-*.f64
3 386×lower-*.f32
2 482×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059615
0103592
1175574
2416557
31543531
44039528
08081504
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
#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))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal -2 binary32)
(/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)
(fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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 (*.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v)
(fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.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))
#s(literal 16 binary32)
#s(literal -24 binary32)
(*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))
#s(literal 8 binary32)
v
#s(literal 1/6 binary32)
(*.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))))
#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)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
u
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(*.f32 u #s(literal -1/2 binary32))
u
#s(literal -1/2 binary32)
(*.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 2 binary32) v) #s(literal -2 binary32)))))
(pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))
(neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))
(expm1.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
#s(literal 2 binary32)
(/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))
(exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)))
(*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))
(/.f32 #s(literal 2 binary32) v)
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
#s(literal -1 binary32)
Outputs
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) 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)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
#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))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 u #s(literal 1 binary32)) #s(literal -2 binary32) (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) v) #s(literal 1/6 binary32) #s(literal -2 binary32)))) v)))
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v))
(-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 u #s(literal 1 binary32)) #s(literal -2 binary32) (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) v) #s(literal 1/6 binary32) #s(literal -2 binary32)))) v))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal -2 binary32)
(/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 u #s(literal 1 binary32)) #s(literal -2 binary32) (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) v) #s(literal 1/6 binary32) #s(literal -2 binary32)))) v)
(fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 u #s(literal 1 binary32)) #s(literal -2 binary32) (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) v) #s(literal 1/6 binary32) #s(literal -2 binary32))))
(/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v)
(*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) v) (-.f32 #s(literal 1 binary32) u))
(fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 u #s(literal 1 binary32)) (-.f32 u #s(literal 1 binary32)))
(fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))
(fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32))
#s(literal 16 binary32)
#s(literal -24 binary32)
(*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))
#s(literal 8 binary32)
v
#s(literal 1/6 binary32)
(*.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 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal 4 binary32) u #s(literal -4 binary32)) u))
#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 -4 binary32) u #s(literal 4 binary32)) u)
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) u)
#s(literal -4 binary32)
#s(literal 4 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
(*.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) v)
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
u
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) v) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(*.f32 u #s(literal -1/2 binary32))
(*.f32 #s(literal -1/2 binary32) u)
u
#s(literal -1/2 binary32)
(*.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 2 binary32) v) #s(literal -2 binary32)))))
(*.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v)))) v)
(pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))
(neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))
(expm1.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
#s(literal 2 binary32)
(/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))
(/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))
(exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)))
(exp.f32 (/.f32 #s(literal -4 binary32) v))
(*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))
(/.f32 #s(literal -4 binary32) v)
(/.f32 #s(literal 2 binary32) v)
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
#s(literal -1 binary32)

localize255.0ms (2.8%)

Memory
15.6MiB live, 217.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.20825284625974194
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy0.21787560448515447
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
accuracy5.518803729115032
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
accuracy7.47721812338429
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
accuracy0.0703125
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
accuracy0.20825284625974194
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy0.22252376860893555
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
accuracy7.629531678057063
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
accuracy0.11003876953688403
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
accuracy1.6211388099781967
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
accuracy1.9318504890600556
(fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
accuracy6.586103178410582
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
accuracy7.941784102380983
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
accuracy0.015625
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
accuracy0.05801464469303148
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
accuracy0.06508507069442182
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
accuracy0.1776255877620471
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Samples
83.0ms186×0exit
75.0ms70×0valid
Compiler

Compiled 564 to 61 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-mult: 75.0ms (54.7% of total)
ival-add: 18.0ms (13.1% of total)
ival-sub: 15.0ms (10.9% of total)
ival-div: 8.0ms (5.8% of total)
ival-log: 5.0ms (3.6% of total)
ival-exp: 4.0ms (2.9% of total)
ival-expm1: 4.0ms (2.9% of total)
const: 4.0ms (2.9% of total)
ival-pow2: 2.0ms (1.5% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series96.0ms (1.1%)

Memory
-0.9MiB live, 73.0MiB allocated
Counts
22 → 420
Calls
Call 1
Inputs
#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) u) (patch (-.f32 #s(literal 1 binary32) 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 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) (patch (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) #<representation binary32>) () ())
#s(alt (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) (patch (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (patch (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) #<representation binary32>) () ())
#s(alt (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))) (patch (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) (patch #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) #<representation binary32>) () ())
#s(alt (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)) (patch (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) (patch (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (*.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 2 binary32) v) #s(literal -2 binary32))))) (patch (*.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 2 binary32) v) #s(literal -2 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)) (patch (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)) #<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 #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) 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 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())
#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())
Outputs
#s(alt -1 (taylor 0 u) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) (taylor 0 u) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<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 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<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 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (taylor inf u) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) (taylor inf u) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))))) (taylor inf u) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))))) (taylor inf u) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) (taylor -inf u) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) (taylor -inf u) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor -inf u) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor -inf u) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -2 (- 1 u))) (taylor inf v) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) (taylor inf v) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<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 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<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 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -2 (- 1 u))) (taylor -inf v) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) (taylor -inf v) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<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 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<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 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ -2 v) (taylor 0 u) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v))) (taylor 0 u) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v))) (taylor 0 u) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (- (* 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))) (taylor 0 u) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))) (taylor inf u) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) (taylor inf u) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (+ (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))))))))) (taylor inf u) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (+ (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)))))))))) (taylor inf u) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))) (taylor -inf u) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1)))))) (taylor -inf u) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (+ (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)))) (taylor -inf u) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (+ (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)))) (taylor -inf u) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
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#s(alt (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))))) (taylor -inf u) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
#s(alt (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1)) (taylor 0 v) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
#s(alt (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1)) (taylor 0 v) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
#s(alt (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1)) (taylor 0 v) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
#s(alt (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1)) (taylor 0 v) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
#s(alt 2 (taylor inf v) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v)))) (taylor inf v) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -2 (/ u v)) (+ (* -1/2 (/ (- (* -8 u) (* -16 u)) (pow v 2))) (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))))) (taylor inf v) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* -2 (/ u v)) (+ (* -1/2 (/ (- (* -8 u) (* -16 u)) (pow v 2))) (+ (* -1/2 (/ (- (* 28/3 u) (+ (* -4 (- (* -8 u) (* -16 u))) (* 32 u))) (pow v 3))) (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2)))))))) (taylor inf v) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
#s(alt 2 (taylor -inf v) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (- (* 2 u) 2) v))) (taylor -inf v) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))) v)) (* 2 u)) 2) v))) (taylor -inf v) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (+ (* -1 (/ (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3) v)) (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* 2 u)) 2) v))) (taylor -inf v) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
#s(alt (* v (- (exp (/ 2 v)) 1)) (taylor 0 v) (#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())) ())
#s(alt (* v (- (exp (/ 2 v)) 1)) (taylor 0 v) (#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())) ())
#s(alt (* v (- (exp (/ 2 v)) 1)) (taylor 0 v) (#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())) ())
#s(alt (* v (- (exp (/ 2 v)) 1)) (taylor 0 v) (#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())) ())
#s(alt 2 (taylor inf v) (#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* 2 (/ 1 v))) (taylor inf v) (#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) (taylor inf v) (#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) (taylor inf v) (#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())) ())
#s(alt 2 (taylor -inf v) (#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* 2 (/ 1 v))) (taylor -inf v) (#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())) ())
#s(alt (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) (taylor -inf v) (#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -1 (/ (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2) v))) (taylor -inf v) (#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())) ())
Calls

105 calls:

TimeVariablePointExpression
34.0ms
v
@0
(+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4))))
1.0ms
v
@inf
(* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))
1.0ms
v
@0
(* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))
1.0ms
u
@0
(+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4))))
1.0ms
v
@0
(+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1)

simplify199.0ms (2.2%)

Memory
-7.0MiB live, 214.1MiB allocated
Algorithm
1×egg-herbie
Rules
9 070×lower-fma.f64
9 070×lower-fma.f32
5 144×lower-*.f64
5 144×lower-*.f32
3 940×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070010087
120419537
264149460
081778331
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
-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)))))))
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))))
(/ -2 v)
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(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) 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)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) v (*.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32))) 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)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.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)) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (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))))) u)) u))
(- (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 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2)))) v)
(/.f32 (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) v)
(/ (+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))) v)
(/.f32 (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 v v) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) v)
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (* 2 (/ 1 v))) v)
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)
(* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) 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 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 4/3 binary32) v)) v)) (neg.f32 v))
(* v (- (exp (/ 2 v)) 1))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(+ (* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))
(fma.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(+ (* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))
(fma.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(+ (* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))
(fma.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v))))
(*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))))
(* u (+ (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)))
(*.f32 (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v u))) u)
(* u (+ (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)))
(*.f32 (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v u))) u)
(* u (+ (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)))
(*.f32 (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v u))) u)
(* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v))))
(*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))))
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))))))
(*.f32 (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v u))) u)
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))))))
(*.f32 (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v u))) u)
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))))))
(*.f32 (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v u))) u)
(* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1))
(*.f32 (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 u (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal -1/2 binary32) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) v)
(* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1))
(*.f32 (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 u (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal -1/2 binary32) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) v)
(* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1))
(*.f32 (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 u (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal -1/2 binary32) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) v)
(* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1))
(*.f32 (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 u (exp.f32 (/.f32 #s(literal -4 binary32) v)))) #s(literal -1/2 binary32) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) v)
2
#s(literal 2 binary32)
(+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v))))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))
(+ 2 (+ (* -2 (/ u v)) (+ (* -1/2 (/ (- (* -8 u) (* -16 u)) (pow v 2))) (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))))
(+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (+.f32 (/.f32 (*.f32 #s(literal -4 binary32) u) (*.f32 v v)) (-.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v))))
(+ 2 (+ (* -2 (/ u v)) (+ (* -1/2 (/ (- (* -8 u) (* -16 u)) (pow v 2))) (+ (* -1/2 (/ (- (* 28/3 u) (+ (* -4 (- (* -8 u) (* -16 u))) (* 32 u))) (pow v 3))) (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2))))))))
(+.f32 (fma.f32 (/.f32 u v) #s(literal -2 binary32) #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 8 binary32) (/.f32 u (*.f32 v v)) (/.f32 (fma.f32 #s(literal 28/3 binary32) u (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) (*.f32 (*.f32 v v) v))) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 v v) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))
2
#s(literal 2 binary32)
(+ 2 (* -1 (/ (- (* 2 u) 2) v)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (* 1/2 (- (* 8 u) (* 16 u)))) v)) (* 2 u)) 2) v)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))
(+ 2 (* -1 (/ (- (+ (* -1 (/ (+ 4/3 (+ (* -1 (/ (- (* 1/2 (- (* 28/3 u) (+ (* 4 (- (* 8 u) (* 16 u))) (* 32 u)))) 2/3) v)) (* 1/2 (- (* 8 u) (* 16 u))))) v)) (* 2 u)) 2) v)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (/.f32 (fma.f32 (fma.f32 #s(literal 28/3 binary32) u (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32) #s(literal -2/3 binary32)) v)) v)) v))
(* v (- (exp (/ 2 v)) 1))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(* v (- (exp (/ 2 v)) 1))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(* v (- (exp (/ 2 v)) 1))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(* v (- (exp (/ 2 v)) 1))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
2
#s(literal 2 binary32)
(+ 2 (* 2 (/ 1 v)))
(+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))
(+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))
(-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))
(+ 2 (+ (* 2 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 4/3 (pow v 2)))))
(+.f32 (-.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 v v) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(+ 2 (* 2 (/ 1 v)))
(+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))
(+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))
(-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2) v)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) v)) v))

rewrite209.0ms (2.3%)

Memory
-6.8MiB live, 302.4MiB allocated
Rules
6 970×lower-*.f64
6 952×lower-*.f32
3 756×lower-/.f64
3 746×lower-/.f32
3 514×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059391
0103366
1405363
23374359
010047355
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 380
Calls
Call 1
Inputs
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(-.f32 #s(literal 1 binary32) u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
(fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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)))))
(fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))
(*.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 2 binary32) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.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 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
Outputs
(*.f32 (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.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)) v #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
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(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))) (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)))) (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))))
(/.f32 (-.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) u) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)))
(/.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) u) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)))))
(/.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) u) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32))) (fma.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))) (fma.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) u) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))) (/.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))))
(fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) u) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 #s(literal -1/2 binary32) u) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 #s(literal -1/2 binary32) u)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))))
(fma.f32 u (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(pow.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))) (fma.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) u) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(+.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(/.f32 (*.f32 (expm1.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) v) (+.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (*.f32 v (expm1.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v)))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))
(/.f32 (*.f32 v (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) (+.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(fma.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) v (neg.f32 v))
(fma.f32 v (exp.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v #s(literal -1 binary32)))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) v) (neg.f32 v))
(+.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 v #s(literal -1 binary32)))

eval141.0ms (1.6%)

Memory
15.1MiB live, 254.4MiB allocated
Compiler

Compiled 44 383 to 3 282 computations (92.6% saved)

prune209.0ms (2.3%)

Memory
8.4MiB live, 477.7MiB allocated
Pruning

52 alts after pruning (49 fresh and 3 done)

PrunedKeptTotal
New1 051371 088
Fresh121224
Picked325
Done011
Total1 066521 118
Accuracy
99.9%
Counts
1 118 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)))) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (fma.f32 (neg.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)))))
99.2%
(fma.f32 (-.f32 (log.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.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 (*.f32 u u) u))) (log.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)))) v #s(literal 1 binary32))
✓99.5%
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
96.6%
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
▶99.5%
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
▶12.3%
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
99.1%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))))
▶99.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
99.2%
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
99.5%
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
✓99.5%
(+.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)))))))
12.0%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
6.4%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
10.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) v)) v)) (neg.f32 v))))))
10.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
8.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u))) u)))))
11.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 v v) v)) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))))
13.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
8.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
95.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) (*.f32 v (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)))))))
11.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (*.f32 (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 16 binary32)) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) v) #s(literal 1/6 binary32))) v))))
11.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.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 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))))
99.1%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)))
94.9%
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))) #s(literal -1 binary32)))
13.1%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
6.4%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
▶8.9%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
▶86.0%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
4.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u v) (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 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
5.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
6.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
9.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 #s(literal 4 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
13.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
10.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (/.f32 (fma.f32 (fma.f32 #s(literal 28/3 binary32) u (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32) #s(literal -2/3 binary32)) v)) v)) v))) u #s(literal -1 binary32)))
6.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 #s(literal 24 binary32) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.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 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
8.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
10.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v))) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) u #s(literal -1 binary32)))))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) u) (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u) v)) v))))
✓4.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 3 428 to 1 851 computations (46% saved)

simplify226.0ms (2.5%)

Memory
1.2MiB live, 191.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
cost-diff0
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
cost-diff0
(/.f32 #s(literal 2 binary32) v)
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 -1 binary32))
cost-diff0
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
cost-diff64
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))
cost-diff64
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))
cost-diff128
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
cost-diff288
(fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
cost-diff0
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
cost-diff0
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
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 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
cost-diff64
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
Rules
21 244×lower-fma.f64
21 232×lower-fma.f32
3 532×lower-*.f64
3 524×lower-*.f32
1 904×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043347
075340
1106340
2182333
3406307
41118299
54863299
08376292
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
(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)
v
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
#s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))
(/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)
(fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal -4 binary32) (-.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
#s(literal 4 binary32)
v
#s(literal 1/2 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))
#s(literal -2 binary32)
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 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 -1 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(-.f32 #s(literal 1 binary32) u)
u
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
Outputs
(fma.f32 (log.f32 (+.f32 (*.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 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (*.f32 (/.f32 (fma.f32 (/.f32 u v) #s(literal 2 binary32) #s(literal -2 binary32)) v) (-.f32 #s(literal 1 binary32) u))) v #s(literal 1 binary32))
#s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))
#s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (*.f32 (/.f32 (fma.f32 (/.f32 u v) #s(literal 2 binary32) #s(literal -2 binary32)) v) (-.f32 #s(literal 1 binary32) u)))
(/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)
(*.f32 (/.f32 (fma.f32 (/.f32 u v) #s(literal 2 binary32) #s(literal -2 binary32)) v) (-.f32 #s(literal 1 binary32) u))
(fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
(*.f32 (fma.f32 (/.f32 u v) #s(literal 2 binary32) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u))
(/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v)
(*.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32)) v) u)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32)) u)
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) u)
#s(literal -4 binary32)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal 4 binary32)
v
#s(literal 1/2 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
#s(literal -2 binary32)
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32))
(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
(*.f32 v u)
(*.f32 u v)
u
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(-.f32 #s(literal 1 binary32) u)
u
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v

localize109.0ms (1.2%)

Memory
8.6MiB live, 211.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.05801464469303148
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
accuracy0.06508507069442182
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
accuracy0.12109375
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
accuracy0.17762558776204712
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0
(*.f32 v u)
accuracy0.20825284625974191
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy0.2510549807775582
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32))
accuracy29.15521654359624
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
accuracy0.1953125
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))
accuracy0.2265625
(/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v)
accuracy5.996451322820867
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
accuracy29.96350293882072
#s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))
accuracy4.475513112639001
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
accuracy0.03515625
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
accuracy0.05801464469303148
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
accuracy0.06508507069442182
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
accuracy0.17762558776204712
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Samples
63.0ms256×0valid
Compiler

Compiled 321 to 39 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 15.0ms (31.5% of total)
ival-div: 12.0ms (25.2% of total)
ival-add: 8.0ms (16.8% of total)
ival-log: 5.0ms (10.5% of total)
ival-expm1: 3.0ms (6.3% of total)
ival-exp: 2.0ms (4.2% of total)
ival-sub: 1.0ms (2.1% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory
0.3MiB live, 79.4MiB allocated
Counts
21 → 432
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 (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (patch (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) (patch (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (patch (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) (patch (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (patch (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32))) (patch #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)) (patch (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 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 2 binary32) v) (patch (/.f32 #s(literal 2 binary32) v) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) 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 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) (patch #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())
#s(alt (*.f32 v u) (patch (*.f32 v 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt 1 (taylor inf 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>) () ())) ())
#s(alt (+ 1 (* -2 (/ (- 1 u) v))) (taylor inf 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>) () ())) ())
#s(alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) (taylor inf 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>) () ())) ())
#s(alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) (taylor inf 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>) () ())) ())
#s(alt 1 (taylor -inf 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>) () ())) ())
#s(alt (+ 1 (* -2 (/ (- 1 u) v))) (taylor -inf 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>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) (taylor -inf 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>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v))) (taylor -inf 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>) () ())) ())
#s(alt (exp (/ -2 v)) (taylor 0 u) (#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 (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) (taylor 0 u) (#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 (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) (taylor 0 u) (#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 (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) (taylor 0 u) (#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 (* u (+ 1 (* -1 (exp (/ -2 v))))) (taylor inf u) (#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 (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) (taylor inf u) (#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 (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) (taylor inf u) (#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 (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) (taylor inf u) (#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 (* -1 (* u (- (exp (/ -2 v)) 1))) (taylor -inf u) (#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 (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) (taylor -inf u) (#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 (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) (taylor -inf u) (#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 (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) (taylor -inf u) (#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 1 (taylor 0 v) (#s(alt (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -2 (- 1 u))) (taylor inf v) (#s(alt (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) (taylor inf v) (#s(alt (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) #<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 (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* -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)) (taylor -inf v) (#s(alt #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) (patch #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) #<representation binary32>) () ())) ())
#s(alt (* 4 (/ u v)) (taylor 0 u) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (* u (+ (* -4 (/ u v)) (* 4 (/ 1 v)))) (taylor 0 u) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (* u (+ (* -4 (/ u v)) (* 4 (/ 1 v)))) (taylor 0 u) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (* u (+ (* -4 (/ u v)) (* 4 (/ 1 v)))) (taylor 0 u) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (* -4 (/ (pow u 2) v)) (taylor inf u) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v)))) (taylor inf u) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v)))) (taylor inf u) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v)))) (taylor inf u) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (* -4 (/ (pow u 2) v)) (taylor -inf u) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v)))) (taylor -inf u) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v)))) (taylor -inf u) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v)))) (taylor -inf u) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor 0 v) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor 0 v) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor 0 v) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor 0 v) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor inf v) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor inf v) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor inf v) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor inf v) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor -inf v) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor -inf v) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor -inf v) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor -inf v) (#s(alt (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) (patch (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor 0 v) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor 0 v) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor 0 v) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor 0 v) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor inf v) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor inf v) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor inf v) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor inf v) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor -inf v) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor -inf v) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor -inf v) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor -inf v) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor 0 u) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor 0 u) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor 0 u) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor 0 u) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor inf u) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor inf u) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor inf u) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor inf u) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor -inf u) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor -inf u) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor -inf u) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
#s(alt (* u v) (taylor -inf u) (#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())) ())
Calls

108 calls:

TimeVariablePointExpression
3.0ms
u
@inf
(+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2))
2.0ms
u
@inf
(/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))
2.0ms
u
@-inf
(/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))
1.0ms
v
@inf
(/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))
1.0ms
v
@-inf
(/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))

simplify510.0ms (5.6%)

Memory
-124.8MiB live, 400.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 358×lower-fma.f64
7 358×lower-fma.f32
6 288×lower-*.f64
6 288×lower-*.f32
3 756×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068611388
1208910648
2771010588
080939557
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
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 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))))))))
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(* -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))
(* 4 (/ u v))
(* u (+ (* -4 (/ u v)) (* 4 (/ 1 v))))
(* u (+ (* -4 (/ u v)) (* 4 (/ 1 v))))
(* u (+ (* -4 (/ u v)) (* 4 (/ 1 v))))
(* -4 (/ (pow u 2) v))
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))
(* -4 (/ (pow u 2) v))
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 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)
(* u v)
Outputs
(+ u (* (exp (/ -2 v)) (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ u (* (exp (/ -2 v)) (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ u (* (exp (/ -2 v)) (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ u (* (exp (/ -2 v)) (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
1
#s(literal 1 binary32)
(+ 1 (* -2 (/ (- 1 u) v)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 v v)) #s(literal 2 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32)))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
(+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 v v) v)) #s(literal -4/3 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 v v)) #s(literal 2 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -2 (/ (- 1 u) v)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u))) v)) v))
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(fma.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(fma.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(fma.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u u)
(* -1 (* u (- (exp (/ -2 v)) 1)))
(*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.f32 (neg.f32 u) (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.f32 (neg.f32 u) (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.f32 (neg.f32 u) (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+ 1 (* -2 (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #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)))))
(+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #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))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 192 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 v v) v)) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))) #s(literal 1 binary32))
(+ 1 (* -2 (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #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 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -24 binary32) (-.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 (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)))) 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 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 192 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -24 binary32) (-.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 (*.f32 #s(literal 16 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)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #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 (fma.f32 (*.f32 #s(literal -1/2 binary32) u) (*.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 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #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 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 (*.f32 (*.f32 v u) (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))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(fma.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
(+ 1 (+ (* 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 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))
(+ 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)))))))))
(fma.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) v) (*.f32 (*.f32 u u) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)))
(+ 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))))))))))
(+.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 v (*.f32 (*.f32 u 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)) (fma.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) v) (*.f32 (*.f32 u u) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (*.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) #s(literal 1 binary32))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(fma.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)) (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)))
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(*.f32 (fma.f32 (/.f32 u v) #s(literal -4 binary32) (/.f32 #s(literal 4 binary32) v)) u)
(* u (+ (* -4 (/ u v)) (* 4 (/ 1 v))))
(*.f32 (fma.f32 (/.f32 u v) #s(literal -4 binary32) (/.f32 #s(literal 4 binary32) v)) u)
(* -4 (/ (pow u 2) v))
(*.f32 (*.f32 (/.f32 u v) #s(literal -4 binary32)) u)
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))
(*.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) v)) (*.f32 u u))
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))
(*.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) v)) (*.f32 u u))
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))
(*.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) v)) (*.f32 u u))
(* -4 (/ (pow u 2) v))
(*.f32 (*.f32 (/.f32 u v) #s(literal -4 binary32)) u)
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))
(*.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) v)) (*.f32 u u))
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))
(*.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) v)) (*.f32 u u))
(* (pow u 2) (- (* 4 (/ 1 (* u v))) (* 4 (/ 1 v))))
(*.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 v u)) (/.f32 #s(literal 4 binary32) v)) (*.f32 u u))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)
(* u v)
(*.f32 v u)

rewrite201.0ms (2.2%)

Memory
-6.6MiB live, 412.9MiB allocated
Rules
7 514×lower-fma.f64
7 504×lower-fma.f32
3 994×lower-*.f64
3 986×lower-*.f32
3 950×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042243
072236
1242236
21430236
08340236
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 768
Calls
Call 1
Inputs
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
(log.f32 (+.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))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
(fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))
(/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v)
(*.f32 v u)
Outputs
(*.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(*.f32 (neg.f32 (-.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))))
(*.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.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 (*.f32 u u) u))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))))
(*.f32 (-.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
(*.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.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 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (fma.f32 u u (-.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) u))))))
(*.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.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 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))))
(*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) (*.f32 (/.f32 (*.f32 u u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (/.f32 (*.f32 u u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) (+.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (/.f32 (*.f32 u u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 u u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (fma.f32 (/.f32 (*.f32 u u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (/.f32 (*.f32 u u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (*.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (/.f32 (*.f32 u u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 u u)))) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.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 (*.f32 u u) u)))) (neg.f32 (neg.f32 (fma.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))))
(/.f32 (-.f32 (*.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (*.f32 u u))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
(/.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/.f32 (neg.f32 (-.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 u u))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.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 (*.f32 u u) u))) (neg.f32 (fma.f32 u u (-.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) u))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.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 (*.f32 u u) u))) (neg.f32 (fma.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))))
(/.f32 (-.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 u u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
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(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
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(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) (neg.f32 v)))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) (neg.f32 v)))
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(exp.f32 (*.f32 (log.f32 (/.f32 v (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) (neg.f32 v)))
(*.f32 u v)
(*.f32 v u)

eval195.0ms (2.2%)

Memory
15.0MiB live, 490.4MiB allocated
Compiler

Compiled 44 222 to 3 793 computations (91.4% saved)

prune278.0ms (3.1%)

Memory
8.6MiB live, 664.4MiB allocated
Pruning

63 alts after pruning (56 fresh and 7 done)

PrunedKeptTotal
New1 203201 223
Fresh83644
Picked145
Done033
Total1 212631 275
Accuracy
99.9%
Counts
1 275 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f32 (-.f32 (log.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.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 (*.f32 u u) u))) (log.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)))) v #s(literal 1 binary32))
✓99.5%
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
✓99.5%
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
▶96.6%
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
11.4%
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v)) v #s(literal 1 binary32))
12.3%
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))) v)) v #s(literal 1 binary32))
12.0%
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
12.3%
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32) (*.f32 v #s(literal -2 binary32)))) v)) v)) v #s(literal 1 binary32))
7.3%
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
99.1%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))))
✓99.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
95.1%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) v #s(literal 1 binary32))))
8.4%
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1)) (fma.f32 (*.f32 u (neg.f32 v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
95.9%
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1)) (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (*.f32 (*.f32 (pow.f32 (fma.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) u)))))
99.2%
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v))) (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v))))
▶99.5%
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
✓99.5%
(+.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)))))))
12.0%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
10.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) v)) v)) (neg.f32 v))))))
10.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
8.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u))) u)))))
11.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 v v) v)) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))))
13.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
8.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
95.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) (*.f32 v (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)))))))
11.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (*.f32 (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 16 binary32)) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) v) #s(literal 1/6 binary32))) v))))
11.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.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 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))))
99.1%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)))
94.9%
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))) #s(literal -1 binary32)))
6.4%
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
13.1%
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
✓8.9%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
11.8%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) (*.f32 v u) #s(literal -1 binary32)))
6.4%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
10.6%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (/.f32 u (*.f32 (*.f32 v v) v)) #s(literal 2/3 binary32) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))))
11.0%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)))))
12.8%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
▶6.4%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))))
11.0%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) v)) #s(literal 1 binary32))))
10.6%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) v)) #s(literal 1 binary32))))
✓86.0%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
4.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u v) (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 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
5.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
6.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
9.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 #s(literal 4 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
13.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
▶11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
10.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (/.f32 (fma.f32 (fma.f32 #s(literal 28/3 binary32) u (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32) #s(literal -2/3 binary32)) v)) v)) v))) u #s(literal -1 binary32)))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 #s(literal 24 binary32) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.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 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
▶11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
8.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
10.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v))) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) u #s(literal -1 binary32)))))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) u) (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u) v)) v))))
✓4.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 3 861 to 2 105 computations (45.5% saved)

simplify127.0ms (1.4%)

Memory
-18.8MiB live, 176.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
cost-diff0
(+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
cost-diff0
(log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))
cost-diff0
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
cost-diff96
(fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))
cost-diff128
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
cost-diff192
(fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
cost-diff224
(fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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)))))
cost-diff0
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))
cost-diff0
#s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v)))
cost-diff0
(fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
cost-diff0
(fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))
cost-diff0
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))
cost-diff0
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))))
cost-diff0
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
cost-diff0
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
cost-diff0
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
cost-diff64
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
Rules
9 978×lower-fma.f64
9 958×lower-fma.f32
3 542×lower-*.f64
3 532×lower-*.f32
2 624×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082717
0121709
1208691
2466665
31567639
44096633
08282594
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))
(fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))
#s(literal 2 binary32)
u
#s(literal -1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
(fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32))
#s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))
#s(literal 2 binary32)
(/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v)
(-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
u
#s(literal -2 binary32)
(/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))
#s(literal -4 binary32)
#s(literal 4/3 binary32)
v
#s(literal -1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
(-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v))
#s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))
(fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))
#s(literal 2 binary32)
u
#s(literal -1 binary32)
(/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)
(fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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 (*.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v)
(fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))
#s(literal 16 binary32)
#s(literal -24 binary32)
(*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))
#s(literal 8 binary32)
v
#s(literal 1/6 binary32)
(*.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))))
#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)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
(log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))
(+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
#s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
u
#s(literal 1 binary32)
Outputs
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) 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)) v #s(literal 1 binary32))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))
(fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))
#s(literal 2 binary32)
u
#s(literal -1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 (/.f32 (fma.f32 (-.f32 u #s(literal 1 binary32)) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v) #s(literal -2 binary32))) u #s(literal -1 binary32)))
(fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32))
(fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 (/.f32 (fma.f32 (-.f32 u #s(literal 1 binary32)) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v) #s(literal -2 binary32))) u #s(literal -1 binary32))
#s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v)))
#s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 (/.f32 (fma.f32 (-.f32 u #s(literal 1 binary32)) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v) #s(literal -2 binary32)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))
(-.f32 (/.f32 (fma.f32 (-.f32 u #s(literal 1 binary32)) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v) #s(literal -2 binary32))
#s(literal 2 binary32)
(/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v)
(-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
u
#s(literal -2 binary32)
(/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))
#s(literal -4 binary32)
#s(literal 4/3 binary32)
v
#s(literal -1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) v) #s(literal 1/6 binary32) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) #s(literal -2 binary32))) v)))
(-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v))
(-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) v) #s(literal 1/6 binary32) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) #s(literal -2 binary32))) v))
#s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))
(fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))
#s(literal 2 binary32)
u
#s(literal -1 binary32)
(/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) v) #s(literal 1/6 binary32) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) #s(literal -2 binary32))) v)
(fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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 (-.f32 #s(literal 1 binary32) u) (+.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) v) #s(literal 1/6 binary32) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) #s(literal -2 binary32)))
(/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v)
(*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) v) (-.f32 #s(literal 1 binary32) u))
(fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 u #s(literal 1 binary32)) (-.f32 u #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))
(fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32))
#s(literal 16 binary32)
#s(literal -24 binary32)
(*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))
#s(literal 8 binary32)
v
#s(literal 1/6 binary32)
(*.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 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal 4 binary32) u #s(literal -4 binary32)) u))
#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 -4 binary32) u #s(literal 4 binary32)) u)
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) u)
#s(literal -4 binary32)
#s(literal 4 binary32)
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
(log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))
(+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
#s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
u
#s(literal 1 binary32)

localize413.0ms (4.6%)

Memory
36.7MiB live, 348.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.05801464469303148
(log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))
accuracy0.06508507069442182
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
accuracy0.17762558776204712
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy1.5958242713774293
#s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
accuracy0.1015625
(fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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)))))
accuracy1.6211388099781967
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
accuracy1.9318504890600556
(fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
accuracy6.586103178410582
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
accuracy0.08984375
(/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)
accuracy0.127285009768442
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))
accuracy7.47721812338429
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
accuracy7.792636772780408
#s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v)))
accuracy0
(fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))
accuracy7.35834154261484
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))))
accuracy7.9661598184019855
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))
accuracy0.05535126953688403
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
accuracy0.05801464469303148
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
accuracy0.0703125
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
accuracy0.17762558776204712
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Samples
279.0ms186×0exit
36.0ms70×0valid
Compiler

Compiled 570 to 77 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 292.0ms
ival-add: 130.0ms (44.5% of total)
ival-sub: 84.0ms (28.8% of total)
ival-mult: 36.0ms (12.3% of total)
ival-div: 14.0ms (4.8% of total)
ival-log: 8.0ms (2.7% of total)
const: 7.0ms (2.4% of total)
ival-exp: 4.0ms (1.4% of total)
ival-expm1: 4.0ms (1.4% of total)
ival-pow2: 2.0ms (0.7% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series148.0ms (1.6%)

Memory
-17.1MiB live, 103.4MiB allocated
Counts
23 → 480
Calls
Call 1
Inputs
#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) (patch (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #<representation binary32>) () ())
#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))) (patch #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (patch #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (patch (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)) (patch (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) (patch #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v)) (patch (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) (patch (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) #<representation binary32>) () ())
#s(alt (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) (patch (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (patch (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (patch (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) (patch (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) #<representation binary32>) () ())
#s(alt (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) (patch (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u) #<representation binary32>) () ())
#s(alt #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (patch #s(approx (* (exp (/ -2 v)) (- 1 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>) () ())
#s(alt (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (patch (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (patch (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v))) #<representation binary32>) () ())
Outputs
#s(alt -1 (taylor 0 u) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1) (taylor 0 u) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<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 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<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 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (taylor inf u) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) (taylor inf u) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))))) (taylor inf u) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))))) (taylor inf u) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))) (taylor -inf u) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) (taylor -inf u) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor -inf u) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor -inf u) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -2 (- 1 u))) (taylor inf v) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<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 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<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 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<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 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -2 (- 1 u))) (taylor -inf v) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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Calls

120 calls:

TimeVariablePointExpression
2.0ms
u
@-inf
(+ (* -4 u) 4/3)
1.0ms
u
@0
(- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v))
1.0ms
u
@-inf
(- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v))
1.0ms
u
@inf
(- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v))
0.0ms
v
@0
(- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v))

simplify208.0ms (2.3%)

Memory
6.6MiB live, 248.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 004×lower-fma.f64
10 004×lower-fma.f32
5 052×lower-*.f64
5 052×lower-*.f32
3 872×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070311041
1211910389
2676210333
081819259
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
-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)))))))
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))))
-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))))))
(* 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)))))
(* -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 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)))
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(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (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)))))))))
(+ (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))))))))))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
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(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))
(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)))
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(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u) (*.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 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #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 (fma.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) u) (*.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))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v)))))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(fma.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
(+ 1 (+ (* 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 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))
(+ 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)))))))))
(fma.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 (*.f32 u u) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)))
(+ 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))))))))))
(+.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 v (*.f32 (*.f32 u 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)) (fma.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 (*.f32 u u) (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (*.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))) #s(literal 1 binary32))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) 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)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) v (*.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32))) 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)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.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)) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (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))))) u)) u))

rewrite300.0ms (3.3%)

Memory
21.4MiB live, 207.2MiB allocated
Rules
4 558×lower-*.f64
4 548×lower-*.f32
4 120×lower-fma.f64
4 100×lower-fma.f32
3 178×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082485
0121471
1515468
24273465
08389436
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 351
Calls
Call 1
Inputs
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))
(fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
(fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32))
#s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))
(fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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)))))
(fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
(log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))
(+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
#s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))
(/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
Outputs
(*.f32 (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.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)) v #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(*.f32 (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))))
(*.f32 (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) (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(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (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))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) (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(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 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)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)))
(/.f32 (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) (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(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (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)) (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32))))
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(pow.f32 (/.f32 (-.f32 (fma.f32 (*.f32 u u) #s(literal 16 binary32) #s(literal 16/9 binary32)) (*.f32 u #s(literal -16/3 binary32))) (fma.f32 #s(literal -64 binary32) (*.f32 (*.f32 u u) u) #s(literal 64/27 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 #s(literal -4 binary32) u) #s(literal 4/3 binary32))
(+.f32 #s(literal 4/3 binary32) (*.f32 #s(literal -4 binary32) u))
(*.f32 (pow.f32 (/.f32 v (fma.f32 (*.f32 u u) #s(literal 16 binary32) #s(literal -16/9 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal -4/3 binary32))))
(*.f32 (pow.f32 (/.f32 v (fma.f32 #s(literal -64 binary32) (*.f32 (*.f32 u u) u) #s(literal 64/27 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 u u) #s(literal 16 binary32) #s(literal 16/9 binary32)) (*.f32 u #s(literal -16/3 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)))
(*.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
(*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))
(/.f32 (*.f32 (fma.f32 (*.f32 u u) #s(literal 16 binary32) #s(literal -16/9 binary32)) (/.f32 #s(literal 1 binary32) v)) (fma.f32 #s(literal -4 binary32) u #s(literal -4/3 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal -64 binary32) (*.f32 (*.f32 u u) u) #s(literal 64/27 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 (*.f32 u u) #s(literal 16 binary32) #s(literal 16/9 binary32)) (*.f32 u #s(literal -16/3 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)))) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) #s(literal 1 binary32)) v)
(/.f32 (*.f32 (fma.f32 (*.f32 u u) #s(literal 16 binary32) #s(literal -16/9 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal -4/3 binary32)) v))
(/.f32 (*.f32 (fma.f32 #s(literal -64 binary32) (*.f32 (*.f32 u u) u) #s(literal 64/27 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 (*.f32 u u) #s(literal 16 binary32) #s(literal 16/9 binary32)) (*.f32 u #s(literal -16/3 binary32))) v))
(/.f32 (fma.f32 (*.f32 u u) #s(literal 16 binary32) #s(literal -16/9 binary32)) (*.f32 v (fma.f32 #s(literal -4 binary32) u #s(literal -4/3 binary32))))
(/.f32 (fma.f32 #s(literal -64 binary32) (*.f32 (*.f32 u u) u) #s(literal 64/27 binary32)) (*.f32 v (-.f32 (fma.f32 (*.f32 u u) #s(literal 16 binary32) #s(literal 16/9 binary32)) (*.f32 u #s(literal -16/3 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (neg.f32 v))
(/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))))
(pow.f32 (/.f32 (/.f32 v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) v))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v) (*.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u))) v)))

eval136.0ms (1.5%)

Memory
5.5MiB live, 200.9MiB allocated
Compiler

Compiled 30 412 to 2 371 computations (92.2% saved)

prune344.0ms (3.8%)

Memory
-12.9MiB live, 439.6MiB allocated
Pruning

67 alts after pruning (57 fresh and 10 done)

PrunedKeptTotal
New86223885
Fresh173451
Picked235
Done077
Total88167948
Accuracy
99.9%
Counts
948 → 67
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f32 (-.f32 (log.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.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 (*.f32 u u) u))) (log.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)))) v #s(literal 1 binary32))
✓99.5%
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
✓99.5%
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
✓96.6%
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
11.4%
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v)) v #s(literal 1 binary32))
12.3%
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))) v)) v #s(literal 1 binary32))
12.0%
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
12.3%
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32) (*.f32 v #s(literal -2 binary32)))) v)) v)) v #s(literal 1 binary32))
7.3%
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
96.2%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))))
✓99.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
95.1%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) v #s(literal 1 binary32))))
8.4%
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1)) (fma.f32 (*.f32 u (neg.f32 v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
95.9%
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1)) (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (*.f32 (*.f32 (pow.f32 (fma.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) u)))))
99.2%
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v))) (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v))))
✓99.5%
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
96.6%
(+.f32 (*.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v) #s(literal 1 binary32))
13.1%
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
8.9%
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) #s(literal 1 binary32))
6.4%
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
11.6%
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32))) v))) #s(literal 1 binary32))
✓99.5%
(+.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)))))))
10.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) v)) v)) (neg.f32 v))))))
10.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
8.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u))) u)))))
11.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 v v) v)) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))))
95.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) (*.f32 v (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)))))))
11.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.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 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))))
99.1%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)))
94.9%
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))) #s(literal -1 binary32)))
✓8.9%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
11.8%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) (*.f32 v u) #s(literal -1 binary32)))
6.4%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
11.6%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
10.6%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (/.f32 u (*.f32 (*.f32 v v) v)) #s(literal 2/3 binary32) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))))
11.0%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) #s(literal -1 binary32)))))
12.8%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -1 binary32))))
12.8%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
✓6.4%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))))
10.6%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) v))))
6.4%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2 u) -1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))))
✓86.0%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
4.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u v) (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 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
5.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
6.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
9.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 #s(literal 4 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
13.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 2 binary32))) u #s(literal -1 binary32)))
8.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) (*.f32 v v))) (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v) #s(literal 2 binary32)))) u #s(literal -1 binary32)))
10.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (/.f32 (fma.f32 (fma.f32 #s(literal 28/3 binary32) u (fma.f32 #s(literal 32 binary32) u (*.f32 #s(literal -32 binary32) u))) #s(literal 1/2 binary32) #s(literal -2/3 binary32)) v)) v)) v))) u #s(literal -1 binary32)))
11.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) (-.f32 v u) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
9.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
9.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)))) u #s(literal -1 binary32)))
11.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) u #s(literal -1 binary32)))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.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 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 #s(literal 24 binary32) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
8.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) #s(approx (+ (* 2 u) -1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v))) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) u #s(literal -1 binary32)))))
✓4.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 5 107 to 1 618 computations (68.3% saved)

regimes123.0ms (1.4%)

Memory
-17.8MiB live, 211.6MiB allocated
Counts
110 → 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 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 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) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2 u) -1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (log.f32 u)) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) v #s(literal 1 binary32))))
(fma.f32 (-.f32 (log.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.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 (*.f32 u u) u))) (log.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)))) v #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v))) (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u v) (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 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1)) (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (*.f32 (*.f32 (pow.f32 (fma.f32 (+.f32 (log.f32 u) (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) u)))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (neg.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))) (*.f32 (fma.f32 (neg.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)) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)))) (pow.f32 (fma.f32 (neg.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 2 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)))) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (fma.f32 (neg.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)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) (*.f32 v (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)))))))
Outputs
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
Calls

4 calls:

30.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
29.0ms
u
27.0ms
v
27.0ms
(+.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)

regimes109.0ms (1.2%)

Memory
-2.6MiB live, 195.5MiB allocated
Counts
90 → 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 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 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) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2 u) -1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 2 binary32))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) (*.f32 v u) #s(literal -1 binary32)))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) #s(literal -1 binary32)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) (-.f32 v u) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) v)) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v)) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) (*.f32 v v))) (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v) #s(literal 2 binary32)))) u #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1)) (fma.f32 (*.f32 u (neg.f32 v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u))) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 #s(literal 4 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
(+.f32 (*.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v) #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
Outputs
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
Calls

4 calls:

25.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
24.0ms
u
24.0ms
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
99.5%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)

regimes138.0ms (1.5%)

Memory
19.1MiB live, 203.3MiB allocated
Counts
88 → 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 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 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) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2 u) -1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 2 binary32))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) (*.f32 v u) #s(literal -1 binary32)))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) #s(literal -1 binary32)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) (-.f32 v u) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) v)) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v)) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) (*.f32 v v))) (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v) #s(literal 2 binary32)))) u #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1)) (fma.f32 (*.f32 u (neg.f32 v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u))) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 #s(literal 4 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
(+.f32 (*.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v) #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
Outputs
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
Calls

4 calls:

61.0ms
u
28.0ms
v
23.0ms
(*.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
96.6%1u
96.6%1v
96.6%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)))))))
96.6%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)

regimes95.0ms (1%)

Memory
20.8MiB live, 178.9MiB allocated
Counts
85 → 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 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 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) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2 u) -1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 2 binary32))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) (*.f32 v u) #s(literal -1 binary32)))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) #s(literal -1 binary32)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) (-.f32 v u) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) v)) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v))) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) u) (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u) v)) v))))
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(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) v)) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) (*.f32 v v))) (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v) #s(literal 2 binary32)))) u #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1)) (fma.f32 (*.f32 u (neg.f32 v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u))) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 #s(literal 4 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #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 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
Calls

4 calls:

25.0ms
v
23.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
22.0ms
u
20.0ms
(+.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%1u
89.2%2v
89.2%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)))))))
89.2%2(*.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)

regimes93.0ms (1%)

Memory
-9.3MiB live, 108.5MiB allocated
Counts
84 → 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 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 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) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2 u) -1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 2 binary32))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) (*.f32 v u) #s(literal -1 binary32)))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) #s(literal -1 binary32)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) (-.f32 v u) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) v)) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v))) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) u) (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u) v)) v))))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32) (*.f32 v #s(literal -2 binary32)))) v)) v)) v #s(literal 1 binary32))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v))) (*.f32 v v))) (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v) #s(literal 2 binary32)))) u #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1)) (fma.f32 (*.f32 u (neg.f32 v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u))) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 #s(literal 4 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #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))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
Calls

3 calls:

35.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
32.0ms
(+.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)))))))
22.0ms
v
Results
AccuracySegmentsBranch
89.2%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)))))))
89.2%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
89.2%2v
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes20.0ms (0.2%)

Memory
-9.5MiB live, 26.7MiB allocated
Counts
58 → 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 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 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) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2 u) -1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 2 binary32))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) (*.f32 v u) #s(literal -1 binary32)))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) #s(literal -1 binary32)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) (-.f32 v u) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) v)) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v))) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) u) (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u) v)) v))))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32) (*.f32 v #s(literal -2 binary32)))) v)) v)) v #s(literal 1 binary32))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) v)) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (/.f32 u (*.f32 (*.f32 v v) v)) #s(literal 2/3 binary32) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 #s(literal 24 binary32) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))) v)) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 #s(literal 24 binary32) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) v)) v)) (neg.f32 v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (/.f32 (fma.f32 (fma.f32 #s(literal 28/3 binary32) u (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32) #s(literal -2/3 binary32)) v)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (/.f32 (fma.f32 (fma.f32 #s(literal 28/3 binary32) u (fma.f32 #s(literal 32 binary32) u (*.f32 #s(literal -32 binary32) u))) #s(literal 1/2 binary32) #s(literal -2/3 binary32)) v)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u)) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) 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))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
Calls

1 calls:

14.0ms
v
Results
AccuracySegmentsBranch
89.2%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes56.0ms (0.6%)

Memory
22.9MiB live, 96.7MiB allocated
Counts
51 → 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 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 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) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2 u) -1) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 2 binary32))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) v)) (*.f32 v u) #s(literal -1 binary32)))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 #s(approx (+ (* -4 u) 4/3) #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) #s(literal -1 binary32)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(approx (- 2 (/ (- (+ (* 2 u) -2) (/ (+ (* -4 u) 4/3) v)) v)) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) (-.f32 v u) #s(literal 2 binary32)) v (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32))) (*.f32 v v)))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (/ 1 (/ 1 (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 (/.f32 u v) #s(literal -4/3 binary32) (*.f32 #s(literal -2 binary32) u)) v)) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v))) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) u) (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) u) v)) v))))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 #s(approx (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) (* (- 1 u) -2)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32) (*.f32 v #s(literal -2 binary32)))) v)) v)) v #s(literal 1 binary32))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (/.f32 (fma.f32 #s(literal 2/3 binary32) (/.f32 u v) (*.f32 #s(literal 4/3 binary32) u)) v)) v)) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (/.f32 u (*.f32 (*.f32 v v) v)) #s(literal 2/3 binary32) (fma.f32 (/.f32 u (*.f32 v v)) #s(literal 4/3 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) u #s(literal -1 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 #s(literal 24 binary32) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))) v)) v #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 #s(literal 24 binary32) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v)))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

4 calls:

15.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
14.0ms
u
13.0ms
v
11.0ms
(+.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%1u
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 38 to 27 computations (28.9% saved)

regimes6.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB 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
v
1.0ms
u
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)))))))
Results
AccuracySegmentsBranch
4.8%1v
4.8%1u
4.8%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)))))))
4.8%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
1.5MiB live, 1.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.17680728435516357
0.245289146900177
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.1128511056303978
0.17680728435516357
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.1128511056303978
0.17680728435516357
Compiler

Compiled 20 to 17 computations (15% saved)

simplify35.0ms (0.4%)

Memory
-49.7MiB live, 50.5MiB allocated
Algorithm
1×egg-herbie
Rules
202×distribute-lft-neg-in_binary32
188×unsub-neg_binary32
152×neg-mul-1_binary32
116×neg-sub0_binary32
92×distribute-neg-in_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0105353
1131353
2158353
3185352
4231352
5289352
6376352
7527352
8677352
9768352
10816352
11843352
12846352
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 (log.f32 (+.f32 (*.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 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) 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)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))))
(if (<=.f32 v #s(literal 5033165/33554432 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))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v))))
(if (<=.f32 v #s(literal 5033165/33554432 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))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v))))
#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
(fma.f32 (log.f32 (+.f32 (*.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 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) 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)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #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)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) (+.f32 (/.f32 #s(literal 8 binary32) (*.f32 v v)) #s(literal 8 binary32))) v) #s(literal -4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))))
(if (<=.f32 v #s(literal 5033165/33554432 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))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.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))))) v))))
(if (<=.f32 v #s(literal 5033165/33554432 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))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.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)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/2 binary32))) v))))
(if (<=.f32 v #s(literal 5033165/33554432 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))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.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))))) v))))
(if (<=.f32 v #s(literal 5033165/33554432 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))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/2 binary32))) v))))
#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))

soundness950.0ms (10.5%)

Memory
38.4MiB live, 772.8MiB allocated
Rules
11 468×lower-fma.f64
11 468×lower-fma.f32
10 004×lower-fma.f64
10 004×lower-fma.f32
9 070×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068611388
1208910648
2771010588
080939557
059391
0103366
1405363
23374359
010047355
03373014
19352793
230222668
083322386
01253
02053
16953
246653
3488053
0871948
070311041
1211910389
2676210333
081819259
070010087
120419537
264149460
081778331
Stop Event
1×fuel
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
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 270 to 134 computations (50.4% saved)

preprocess84.0ms (0.9%)

Memory
0.1MiB live, 75.2MiB allocated
Compiler

Compiled 380 to 164 computations (56.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...