HairBSDF, sample_f, cosTheta

Time bar (total: 13.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze76.0ms (0.6%)

Memory
25.3MiB live, 138.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.9%99.1%0%0%0%0
0%0%0.9%99.1%0%0%0%1
0%0%0.9%99.1%0%0%0%2
0%0%0.9%99.1%0%0%0%3
0%0%0.9%99.1%0%0%0%4
37.5%0.3%0.5%99.1%0%0%0%5
43.7%0.4%0.5%99.1%0%0%0%6
65.6%0.6%0.3%99.1%0%0%0%7
70.3%0.6%0.3%99.1%0%0%0%8
82%0.7%0.2%99.1%0%0%0%9
84.8%0.7%0.1%99.1%0%0%0%10
90.8%0.8%0.1%99.1%0%0%0%11
92.3%0.8%0.1%99.1%0%0%0%12
Compiler

Compiled 31 to 23 computations (25.8% saved)

sample2.2s (16.6%)

Memory
53.4MiB live, 2 093.4MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
const: 313.0ms (25.6% of total)
ival-log: 169.0ms (13.8% of total)
ival-div: 168.0ms (13.8% of total)
ival-mult: 144.0ms (11.8% of total)
ival-sub: 115.0ms (9.4% of total)
ival-add: 103.0ms (8.4% of total)
ival-<=: 98.0ms (8% of total)
ival-exp: 73.0ms (6% of total)
ival-and: 24.0ms (2% of total)
exact: 11.0ms (0.9% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain154.0ms (1.2%)

Memory
-21.8MiB live, 392.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f32 #s(literal 1 binary32) u)
00-0-#s(literal 1 binary32)
00-0-#s(literal -2 binary32)
07(0.18896904587745667 0.004171780310571194)0-(exp.f32 (/.f32 #s(literal -2 binary32) v))
00-0-u
00-0-(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
01(0.9983777403831482 0.0015702851815149188)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))sensitivity72
log.f32(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))sensitivity12
Confusion
Predicted +Predicted -
+03
-8245
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+021
-82243
Precision?
0.16666666666666666
Recall?
0.6666666666666666
Freqs
test
numberfreq
0248
18
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms512×0valid
Compiler

Compiled 163 to 40 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 6.0ms (21.2% of total)
ival-add: 5.0ms (17.7% of total)
ival-log: 5.0ms (17.7% of total)
ival-div: 4.0ms (14.1% of total)
ival-exp: 4.0ms (14.1% of total)
ival-sub: 3.0ms (10.6% of total)
exact: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess107.0ms (0.8%)

Memory
0.5MiB live, 79.2MiB allocated
Algorithm
1×egg-herbie
Rules
500×lower-fma.f64
500×lower-fma.f32
346×div-sub
312×sub-neg
302×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify29.0ms (0.2%)

Memory
8.4MiB live, 49.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize34.0ms (0.3%)

Memory
5.0MiB live, 84.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(+.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)))))))
accuracy0.048202539073768064
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
accuracy0.09753596337095406
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.203125
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Samples
22.0ms256×0valid
Compiler

Compiled 73 to 14 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 3.0ms (21.4% of total)
ival-log: 3.0ms (21.4% of total)
ival-div: 2.0ms (14.3% of total)
ival-add: 2.0ms (14.3% of total)
ival-exp: 2.0ms (14.3% of total)
ival-sub: 1.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (0.5%)

Memory
-14.1MiB live, 183.8MiB 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
43.0ms
v
@0
(* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))
8.0ms
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)))))))

simplify394.0ms (2.9%)

Memory
-59.0MiB live, 740.4MiB allocated
Algorithm
1×egg-herbie
Rules
11 468×lower-fma.f64
11 468×lower-fma.f32
6 092×lower-+.f64
6 092×lower-+.f32
4 776×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite365.0ms (2.7%)

Memory
39.8MiB live, 596.0MiB allocated
Rules
5 318×lower-fma.f64
5 318×lower-fma.f32
4 218×lower-*.f64
4 214×lower-*.f32
1 912×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval41.0ms (0.3%)

Memory
-3.4MiB live, 112.8MiB allocated
Compiler

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

prune73.0ms (0.5%)

Memory
-23.9MiB live, 174.5MiB allocated
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New34023363
Fresh000
Picked101
Done000
Total34123364
Accuracy
100.0%
Counts
364 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.3%
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (neg.f32 (*.f32 u u))))))))
▶99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))))
▶99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
94.2%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
10.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
13.8%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
7.6%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
▶14.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
10.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
12.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
12.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)))))
12.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
14.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
▶10.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
99.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
5.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)))
6.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u (fma.f32 u (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 v u) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))))) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32)))
7.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
12.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) v)))
12.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
84.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
▶5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 1 316 to 750 computations (43% saved)

simplify438.0ms (3.3%)

Memory
53.2MiB live, 714.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
cost-diff0
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))
cost-diff0
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
cost-diff64
(fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))
cost-diff64
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
cost-diff128
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
cost-diff288
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
cost-diff0
(log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
cost-diff0
(*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
cost-diff3680
(+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
Rules
26 062×lower-fma.f64
26 052×lower-fma.f32
4 036×lower-*.f64
4 026×lower-*.f32
2 496×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045392
074389
1124364
2245340
3640334
42127334
55103334
08276325
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
#s(literal 1 binary32)
(*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))))
v
(log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
(+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
u
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))
(neg.f32 u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
(-.f32 #s(literal 1 binary32) u)
u
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))
#s(literal -2 binary32)
(neg.f32 u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
(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 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
#s(literal 1 binary32)
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
v
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))
#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.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)
(-.f32 #s(literal 1 binary32) u)
u
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))))
(*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))
v
(log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
u
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))
(neg.f32 u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
(*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))
(-.f32 #s(literal 1 binary32) u)
u
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
(*.f32 u #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
#s(literal -2 binary32)
(neg.f32 u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u (*.f32 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 u (*.f32 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)
u
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
(fma.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
v
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))
#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.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)
(-.f32 #s(literal 1 binary32) u)
u

localize202.0ms (1.5%)

Memory
-14.2MiB live, 269.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
accuracy0.048202539073768064
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))
accuracy0.09753596337095403
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.203125
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
accuracy0
(*.f32 v u)
accuracy0.03191376953688403
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32))
accuracy0.11013291320974697
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy28.615990688658517
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
accuracy0.17578125
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
accuracy0.4863906599511963
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
accuracy5.4756664304662666
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
accuracy29.330938682277022
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))
accuracy30.164459039911907
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
accuracy0.03515625
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
accuracy0.048202539073768064
(log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
accuracy0.09753596337095403
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.203125
(*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))))
Samples
127.0ms256×0valid
Compiler

Compiled 314 to 41 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-add: 70.0ms (67% of total)
ival-mult: 16.0ms (15.3% of total)
ival-div: 5.0ms (4.8% of total)
ival-log: 5.0ms (4.8% of total)
ival-expm1: 3.0ms (2.9% of total)
ival-exp: 2.0ms (1.9% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series102.0ms (0.8%)

Memory
8.3MiB live, 83.7MiB allocated
Counts
20 → 408
Calls
Call 1
Inputs
#s(alt (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (patch (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))))) #<representation binary32>) () ())
#s(alt (*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) (patch (*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) (patch (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) (patch (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (patch (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) (patch (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32))) #<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 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))) #<representation binary32>) () ())
#s(alt (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (patch (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #<representation binary32>) () ())
#s(alt (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (patch (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #<representation binary32>) () ())
#s(alt #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (patch #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #<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 (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())
Outputs
#s(alt (exp (/ -2 v)) (taylor 0 u) (#s(alt (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (patch (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) (taylor 0 u) (#s(alt (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (patch (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) (taylor 0 u) (#s(alt (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (patch (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) (taylor 0 u) (#s(alt (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (patch (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #<representation binary32>) () ())) ())
#s(alt (* u (+ 1 (* -1 (exp (/ -2 v))))) (taylor inf u) (#s(alt (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (patch (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #<representation binary32>) () ())) ())
#s(alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) (taylor inf u) (#s(alt (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (patch (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #<representation binary32>) () ())) ())
#s(alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) (taylor inf u) (#s(alt (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) (patch (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #<representation binary32>) () ())) ())
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#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

102 calls:

TimeVariablePointExpression
21.0ms
v
@-inf
(+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u))))))
21.0ms
v
@0
(/ 2 v)
20.0ms
v
@0
(* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))
4.0ms
v
@0
(+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u))))))
1.0ms
v
@-inf
(log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u))))

simplify445.0ms (3.3%)

Memory
7.4MiB live, 406.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 696×lower-fma.f64
8 696×lower-fma.f32
4 004×lower-+.f64
4 004×lower-+.f32
3 874×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064610271
118598813
265138565
083187575
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(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)))
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(+ 1 (+ u (* -1 u)))
(- (+ 1 (+ u (+ (* -1 u) (* 2 (/ u v))))) (* 2 (/ 1 v)))
(- (+ 1 (+ u (+ (* -2 (/ u (pow v 2))) (+ (* -1 u) (+ (* 2 (/ u v)) (/ 2 (pow v 2))))))) (* 2 (/ 1 v)))
(- (+ 1 (+ u (+ (* -2 (/ u (pow v 2))) (+ (* -1 u) (+ (* 4/3 (/ u (pow v 3))) (+ (* 2 (/ u v)) (/ 2 (pow v 2)))))))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(+ 1 (+ u (* -1 u)))
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(+ 1 (+ u (+ (* -1 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (* -2 u)) v)))) v)))))
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1
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1
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-1
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-2
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(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))
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(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (- (* 2 u) 2))) v)
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(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(* 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
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* -1 (* u (- (exp (/ -2 v)) 1)))
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 u))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 u))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 u))
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(+ 1 (+ u (* -1 u)))
#s(literal 1 binary32)
(- (+ 1 (+ u (+ (* -1 u) (* 2 (/ u v))))) (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (fma.f32 u (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) v)))
(- (+ 1 (+ u (+ (* -2 (/ u (pow v 2))) (+ (* -1 u) (+ (* 2 (/ u v)) (/ 2 (pow v 2))))))) (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) u)) (fma.f32 #s(literal -2 binary32) (/.f32 u (*.f32 v v)) u)) (/.f32 #s(literal -2 binary32) v)))
(- (+ 1 (+ u (+ (* -2 (/ u (pow v 2))) (+ (* -1 u) (+ (* 4/3 (/ u (pow v 3))) (+ (* 2 (/ u v)) (/ 2 (pow v 2)))))))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(+.f32 (+.f32 u (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 u (*.f32 v v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (fma.f32 u (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) u)))) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -4/3 binary32) (*.f32 v (*.f32 v v)))))
(+ 1 (+ u (* -1 u)))
#s(literal 1 binary32)
(+ 1 (+ u (+ (* -1 u) (* -1 (/ (+ 2 (* -2 u)) v)))))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v))
(+ 1 (+ u (+ (* -1 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (* -2 u)) v)))) v)))))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) u (+.f32 (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v) #s(literal 2 binary32))) v))
(+ 1 (+ u (+ (* -1 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 4/3 (* -4/3 u)) v)))) v)))) v)))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (fma.f32 #s(literal -4/3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 2 binary32))) v)) v))
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(+ 1 (* v (log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(+ 1 (* v (log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(* v (log (+ 1 (+ u (* -1 u)))))
#s(literal 0 binary32)
(* v (- (+ (log (+ 1 (+ u (* -1 u)))) (+ (* 2 (/ u (* v (+ 1 (+ u (* -1 u)))))) (/ 1 v))) (/ 2 (* v (+ 1 (+ u (* -1 u)))))))
(*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 u (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -2 binary32) v))))
(* v (- (+ (log (+ 1 (+ u (* -1 u)))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (- (* 2 u) 2) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) (pow v 2))) (+ (* 2 (/ u (* v (+ 1 (+ u (* -1 u)))))) (/ 1 v)))) (/ 2 (* v (+ 1 (+ u (* -1 u)))))))
(*.f32 v (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)) (/.f32 #s(literal -2 binary32) v))))
(* v (- (+ (log (+ 1 (+ u (* -1 u)))) (+ (* 1/6 (/ (+ (* -6 (/ (* (+ 2 (* -2 u)) (- (* 2 u) 2)) (pow (+ 1 (+ u (* -1 u))) 2))) (+ (* 2 (/ (pow (- (* 2 u) 2) 3) (pow (+ 1 (+ u (* -1 u))) 3))) (* 6 (/ (- (* 4/3 u) 4/3) (+ 1 (+ u (* -1 u))))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (- (* 2 u) 2) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) (pow v 2))) (+ (* 2 (/ u (* v (+ 1 (+ u (* -1 u)))))) (/ 1 v))))) (/ 2 (* v (+ 1 (+ u (* -1 u)))))))
(*.f32 v (+.f32 (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))
(* v (log (+ 1 (+ u (* -1 u)))))
#s(literal 0 binary32)
(* -1 (* v (+ (* -1 (log (+ 1 (+ u (* -1 u))))) (* -1 (/ (+ 1 (* -1 (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (* 2 (/ 1 (+ 1 (+ u (* -1 u)))))))) v)))))
(*.f32 v (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) v))
(* -1 (* v (+ (* -1 (log (+ 1 (+ u (* -1 u))))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (* 2 (/ 1 (+ 1 (+ u (* -1 u))))))) (* 1/2 (/ (+ (* -1 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) v)))) v)))))
(*.f32 v (/.f32 (+.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) v))
(* -1 (* v (+ (* -1 (log (+ 1 (+ u (* -1 u))))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (* 2 (/ 1 (+ 1 (+ u (* -1 u))))))) (* -1 (/ (+ (* -1/2 (+ (* -1 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u))))))) (* 1/6 (/ (+ (* -6 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (+ (* 2 (/ (pow (+ 2 (* -2 u)) 3) (pow (+ 1 (+ u (* -1 u))) 3))) (* 6 (/ (+ 4/3 (* -4/3 u)) (+ 1 (+ u (* -1 u))))))) v))) v)))) v)))))
(*.f32 v (/.f32 (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))) (fma.f32 (fma.f32 u #s(literal -4/3 binary32) #s(literal 4/3 binary32)) #s(literal 6 binary32) (*.f32 #s(literal -6 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))))) v) (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) 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 u (fma.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (*.f32 #s(literal -1/2 binary32) u) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u (fma.f32 v (*.f32 #s(literal -1/2 binary32) (/.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) (/.f32 #s(literal -2 binary32) v))))) (*.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 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 binary32))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) #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 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) #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 v (/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u (*.f32 u (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))))) (fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) #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 #s(literal 1 binary32) (fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) (fma.f32 v (*.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u (*.f32 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 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u (*.f32 u (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) #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 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (fma.f32 v (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))) #s(literal 1 binary32)))
(+ 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)))))))
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#s(literal -2 binary32)
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#s(literal 1 binary32)
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#s(literal -1 binary32)
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(+ (* -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 u #s(literal 2 binary32) #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -112 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))) v) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 4 binary32)))) (neg.f32 v))) v))
-2
#s(literal -2 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(fma.f32 u (fma.f32 (*.f32 (pow.f32 (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) (/.f32 #s(literal -2 binary32) v))))) (*.f32 #s(literal -1/2 binary32) u) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -2 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u (fma.f32 v (*.f32 #s(literal -1/2 binary32) (/.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) (/.f32 #s(literal -2 binary32) v))))) (*.f32 (*.f32 #s(literal 1/3 binary32) u) (*.f32 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 -2 binary32))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(*.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(*.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u (*.f32 u (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))) (fma.f32 v (*.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u (*.f32 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 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u (*.f32 u (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))))))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(*.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 (*.f32 v (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 (fma.f32 v (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 v (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) (neg.f32 u)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 (fma.f32 v (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 v (*.f32 (/.f32 #s(literal -1/3 binary32) u) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))))) (neg.f32 u))) (neg.f32 u)))
(* 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)

rewrite439.0ms (3.3%)

Memory
6.1MiB live, 426.3MiB allocated
Rules
4 148×lower-*.f64
4 138×lower-*.f32
4 098×lower-/.f64
4 092×lower-/.f32
3 060×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044292
072285
1290265
22328265
08118258
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 633
Calls
Call 1
Inputs
(+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))))
(log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
(fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
(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 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))
#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))
(*.f32 v u)
Outputs
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
(+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(+.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(pow.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u u)) (fma.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 u (*.f32 u u)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 u (*.f32 u u)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 u u) (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (*.f32 u u)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (pow.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (fma.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (neg.f32 (*.f32 u (*.f32 u u))) (pow.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (-.f32 (pow.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 (*.f32 u u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))))) #s(literal -1 binary32))
(fma.f32 u #s(literal 1 binary32) (*.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)) (neg.f32 u) (+.f32 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)
(fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(fma.f32 #s(literal 1 binary32) u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal -1 binary32) (*.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(fma.f32 (fma.f32 u (*.f32 u u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 u u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(fma.f32 (-.f32 (*.f32 u u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal -1 binary32)) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(-.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))
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(-.f32 (/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.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 (*.f32 u u) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u))))
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (-.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 3 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 2 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 3 binary32))) (fma.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (-.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (-.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (-.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 1 binary32))))
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (-.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))))
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
(*.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
(*.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) v)
(*.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) v) (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
(*.f32 (*.f32 #s(literal 1 binary32) (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) v)
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))
#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 #s(literal -2 binary32) v))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (*.f32 v #s(literal 2 binary32))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
(*.f32 u v)
(*.f32 v u)

eval213.0ms (1.6%)

Memory
12.6MiB live, 209.6MiB allocated
Compiler

Compiled 37 246 to 3 181 computations (91.5% saved)

prune296.0ms (2.2%)

Memory
2.2MiB live, 431.5MiB allocated
Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New1 051301 081
Fresh12618
Picked235
Done000
Total1 065391 104
Accuracy
100.0%
Counts
1 104 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
99.2%
(/.f32 (-.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32)))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (*.f32 u u))))))))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
94.2%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
▶99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))))
✓99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
10.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
▶12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
10.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u))))) (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
▶14.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
14.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
7.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
12.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
12.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)))))
12.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
14.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))))
14.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
6.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
99.2%
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))
13.8%
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (/.f32 (+.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) v)))
12.5%
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (+.f32 (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
▶84.2%
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
✓10.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
▶11.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
13.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
12.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
5.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)))
7.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
14.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
12.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 16 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))))) v)))
12.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) v)))
12.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
10.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v)) #s(literal -1 binary32)))
12.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
11.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 u #s(literal 4/3 binary32))) (neg.f32 v))) v))))
12.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
✓5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 2 143 to 1 178 computations (45% saved)

simplify428.0ms (3.2%)

Memory
5.5MiB live, 669.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff160
(fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))
cost-diff352
(+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))
cost-diff384
(fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32)))))
cost-diff480
(fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))
cost-diff0
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v)))
cost-diff0
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
cost-diff64
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))
cost-diff0
(fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
cost-diff0
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
cost-diff64
(fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
cost-diff0
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))
cost-diff0
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))))
cost-diff352
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
Rules
21 504×lower-fma.f64
21 478×lower-fma.f32
3 358×lower-*.f64
3 338×lower-*.f32
3 056×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0891167
01481079
12891041
2717991
32312910
46383910
08390871
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))))
#s(literal 1 binary32)
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))))
v
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))
#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)
(/.f32 #s(literal 1 binary32) (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)
(-.f32 #s(literal 1 binary32) u)
u
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))
(fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
#s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))))
(*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))
u
(fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))
#s(literal -2 binary32)
(neg.f32 u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32))
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v)))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v))
#s(literal -2 binary32)
(/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)
(+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))))
(/.f32 #s(literal 4/3 binary32) v)
#s(literal 4/3 binary32)
v
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))
#s(literal 2 binary32)
(/.f32 #s(literal 2/3 binary32) (*.f32 v v))
#s(literal 2/3 binary32)
(*.f32 v v)
(neg.f32 v)
(*.f32 v u)
u
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))
v
#s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))
(+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))
(fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v))))
u
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))
#s(literal 1/6 binary32)
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v)))
(fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32)))))
(*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
(fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))
#s(literal 6 binary32)
(fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32))
#s(literal 4/3 binary32)
#s(literal -4/3 binary32)
(*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32)))
(fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))
(*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))
#s(literal -6 binary32)
(*.f32 v (*.f32 v v))
(*.f32 v v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v))
(fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))
#s(literal 1/2 binary32)
(neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
(/.f32 #s(literal -2 binary32) v)
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))))
(fma.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))))
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))
v
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))
#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))
#s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
(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)
(-.f32 #s(literal 1 binary32) u)
u
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
(fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
(fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
#s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))))
(*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))
u
(fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
#s(literal -2 binary32)
(neg.f32 u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v))) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32))
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v))) v)) v)) (*.f32 v u) #s(literal -1 binary32))
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v)))
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v))) v)) v))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v))) v)) v)
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v))
(+.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) (*.f32 v v)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v))) v))
#s(literal -2 binary32)
(/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v))) v)
(+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v))))
(+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)))
(/.f32 #s(literal 4/3 binary32) v)
#s(literal 4/3 binary32)
v
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))
#s(literal 2 binary32)
(/.f32 #s(literal 2/3 binary32) (*.f32 v v))
#s(literal 2/3 binary32)
(*.f32 v v)
(neg.f32 v)
(*.f32 v u)
u
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (fma.f32 (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 u #s(literal 12 binary32) #s(literal -12 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v)) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))
(*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (fma.f32 (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 u #s(literal 12 binary32) #s(literal -12 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v)) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
v
#s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))
#s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (fma.f32 (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 u #s(literal 12 binary32) #s(literal -12 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v)) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v))))
(+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))
(fma.f32 (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 u #s(literal 12 binary32) #s(literal -12 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v)) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v)))
(fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v))))
(fma.f32 (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 u #s(literal 12 binary32) #s(literal -12 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v (*.f32 v v))) (fma.f32 u (/.f32 #s(literal 2 binary32) v) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v))))
u
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))
(fma.f32 (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 u #s(literal 12 binary32) #s(literal -12 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v)))
#s(literal 1/6 binary32)
(/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v)))
(/.f32 (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 u #s(literal 12 binary32) #s(literal -12 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32))) (*.f32 v (*.f32 v v)))
(fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32)))))
(fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal -4 binary32)) (fma.f32 u #s(literal 12 binary32) #s(literal -12 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))
(*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
(*.f32 #s(literal -8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))
(fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))
(fma.f32 u #s(literal 8 binary32) (fma.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 12 binary32) #s(literal -12 binary32)) #s(literal -8 binary32)))
#s(literal 6 binary32)
(fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32))
#s(literal 4/3 binary32)
#s(literal -4/3 binary32)
(*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32)))
(*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 12 binary32) #s(literal -12 binary32)))
(fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))
(fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))
(*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))
(fma.f32 u #s(literal -12 binary32) #s(literal 12 binary32))
#s(literal -6 binary32)
(*.f32 v (*.f32 v v))
(*.f32 v v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v))
(fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))
(*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))
#s(literal 1/2 binary32)
(neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal 4 binary32) #s(literal -4 binary32)))
(/.f32 #s(literal -2 binary32) v)

localize578.0ms (4.3%)

Memory
-107.5MiB live, 561.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.748296086940604
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))
accuracy5.757316491213238
(fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))
accuracy6.581886803587705
(fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32)))))
accuracy28.877958167157182
#s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))
accuracy0.26009750976844204
(/.f32 #s(literal 2/3 binary32) (*.f32 v v))
accuracy0.3515625
(/.f32 #s(literal 4/3 binary32) v)
accuracy8.045155993879717
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v)))
accuracy27.797658537802125
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
accuracy0.03515625
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
accuracy0.16796875
(*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))
accuracy0.4824844099511963
(fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
accuracy28.508825586764928
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))
accuracy4.910360558015382
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
accuracy0.03515625
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))))
accuracy0.048202539073768064
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))
accuracy0.08354168304545946
(exp.f32 (/.f32 #s(literal 2 binary32) v))
accuracy0.1953125
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))))
Samples
181.0ms249×0valid
18.0ms7×5exit
Compiler

Compiled 856 to 86 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-mult: 39.0ms (26.1% of total)
ival-add: 30.0ms (20.1% of total)
ival-div: 24.0ms (16.1% of total)
ival-log: 20.0ms (13.4% of total)
const: 13.0ms (8.7% of total)
adjust: 5.0ms (3.4% of total)
ival-exp: 5.0ms (3.4% of total)
ival-expm1: 5.0ms (3.4% of total)
ival-sub: 3.0ms (2% of total)
ival-neg: 3.0ms (2% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series78.0ms (0.6%)

Memory
29.1MiB live, 145.8MiB allocated
Counts
23 → 420
Calls
Call 1
Inputs
#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))))) #<representation binary32>) () ())
#s(alt (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))) (patch (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))) #<representation binary32>) () ())
#s(alt (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))) (patch (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32)) (patch #s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) (patch (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) (patch (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v)) (patch (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)) (patch (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (patch #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (patch (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (patch (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) #<representation binary32>) () ())
#s(alt (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)) (patch (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32)))) (patch (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 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 (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) (patch (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 4/3 binary32) v) (patch (/.f32 #s(literal 4/3 binary32) v) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) (patch (/.f32 #s(literal 2/3 binary32) (*.f32 v v)) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))) (patch #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v))) (patch (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v))) #<representation binary32>) () ())
Outputs
#s(alt (/ 1 (exp (/ 2 v))) (taylor 0 v) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (exp (/ 2 v))) (taylor 0 v) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (exp (/ 2 v))) (taylor 0 v) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (exp (/ 2 v))) (taylor 0 v) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor inf v) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())) ())
#s(alt (- 1 (* 2 (/ 1 v))) (taylor inf v) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v))) (taylor inf v) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) (taylor inf v) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor -inf v) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())) ())
#s(alt (- 1 (* 2 (/ 1 v))) (taylor -inf v) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v))) (taylor -inf v) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v))) (taylor -inf v) (#s(alt (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))))) #<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 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))))) #<representation binary32>) () ())) ())
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Calls

105 calls:

TimeVariablePointExpression
21.0ms
u
@0
(* u (+ (* u -4) 4))
7.0ms
v
@0
(+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))
1.0ms
v
@0
(+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v))
1.0ms
u
@0
(+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v))
1.0ms
u
@0
(+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))

simplify363.0ms (2.7%)

Memory
-26.7MiB live, 610.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 292×lower-fma.f64
8 292×lower-fma.f32
4 892×lower-*.f64
4 892×lower-*.f32
4 552×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078710731
122979779
277619731
080068762
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
(/ 1 (exp (/ 2 v)))
(/ 1 (exp (/ 2 v)))
(/ 1 (exp (/ 2 v)))
(/ 1 (exp (/ 2 v)))
1
(- 1 (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
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1
(- 1 (* 2 (/ 1 v)))
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(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
1
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1
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1
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(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))))
(log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))))
(log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))))
(log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))))
(log (+ 1 (+ u (* -1 u))))
(- (+ (log (+ 1 (+ u (* -1 u)))) (* 2 (/ u (* v (+ 1 (+ u (* -1 u))))))) (/ 2 (* v (+ 1 (+ u (* -1 u))))))
(- (+ (log (+ 1 (+ u (* -1 u)))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (- (* 2 u) 2) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) (pow v 2))) (* 2 (/ u (* v (+ 1 (+ u (* -1 u)))))))) (/ 2 (* v (+ 1 (+ u (* -1 u))))))
(- (+ (log (+ 1 (+ u (* -1 u)))) (+ (* 1/6 (/ (+ (* -6 (/ (* (+ 2 (* -2 u)) (- (* 2 u) 2)) (pow (+ 1 (+ u (* -1 u))) 2))) (+ (* 2 (/ (pow (- (* 2 u) 2) 3) (pow (+ 1 (+ u (* -1 u))) 3))) (* 6 (/ (- (* 4/3 u) 4/3) (+ 1 (+ u (* -1 u))))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (- (* 2 u) 2) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) (pow v 2))) (* 2 (/ u (* v (+ 1 (+ u (* -1 u))))))))) (/ 2 (* v (+ 1 (+ u (* -1 u))))))
(log (+ 1 (+ u (* -1 u))))
(+ (log (+ 1 (+ u (* -1 u)))) (* -1 (/ (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (* 2 (/ 1 (+ 1 (+ u (* -1 u)))))) v)))
(+ (log (+ 1 (+ u (* -1 u)))) (* -1 (/ (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (+ (* -1/2 (/ (+ (* -1 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) v)) (* 2 (/ 1 (+ 1 (+ u (* -1 u))))))) v)))
(+ (log (+ 1 (+ u (* -1 u)))) (* -1 (/ (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (+ (* 2 (/ (pow (+ 2 (* -2 u)) 3) (pow (+ 1 (+ u (* -1 u))) 3))) (* 6 (/ (+ 4/3 (* -4/3 u)) (+ 1 (+ u (* -1 u))))))) v)) (* 1/2 (+ (* -1 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))))) v)) (* 2 (/ 1 (+ 1 (+ u (* -1 u))))))) v)))
(* u (- (+ (* 4/3 (/ 1 (pow v 3))) (* 4 (/ 1 (pow v 2)))) (* 2 (/ 1 (pow v 2)))))
(* u (- (+ (* -1 (* u (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))))) (+ (* 4/3 (/ 1 (pow v 3))) (* 4 (/ 1 (pow v 2))))) (* 2 (/ 1 (pow v 2)))))
(* u (- (+ (* 4/3 (/ 1 (pow v 3))) (+ (* 4 (/ 1 (pow v 2))) (* u (- (* 8/3 (/ u (pow v 3))) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))))))) (* 2 (/ 1 (pow v 2)))))
(* u (- (+ (* 4/3 (/ 1 (pow v 3))) (+ (* 4 (/ 1 (pow v 2))) (* u (- (* 8/3 (/ u (pow v 3))) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))))))) (* 2 (/ 1 (pow v 2)))))
(* 8/3 (/ (pow u 3) (pow v 3)))
(* (pow u 3) (+ (* -1 (/ (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))) u)) (* 8/3 (/ 1 (pow v 3)))))
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 3)))) (* 8/3 (/ 1 (pow v 3))))) (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3))))))
(* (pow u 3) (- (+ (* 2 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 3)))) (* 8/3 (/ 1 (pow v 3))))) (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3))))))
(* 8/3 (/ (pow u 3) (pow v 3)))
(* -1 (* (pow u 3) (- (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3)))) (* 8/3 (/ 1 (pow v 3))))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow v 2))) (+ (* 4/3 (/ 1 (pow v 3))) (* 4 (/ 1 (pow v 2))))) u)) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) u)) (* 8/3 (/ 1 (pow v 3))))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow v 2))) (+ (* 4/3 (/ 1 (pow v 3))) (* 4 (/ 1 (pow v 2))))) u)) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) u)) (* 8/3 (/ 1 (pow v 3))))))
(* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) (pow v 3)))
(/ (+ (* 1/6 (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3))))) (* v (+ 2 (+ (* -2 u) (* -1/2 (pow (- (* 2 u) 2) 2)))))) (pow v 3))
(/ (+ (* 1/6 (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3))))) (* v (+ 2 (+ (* -2 u) (* -1/2 (pow (- (* 2 u) 2) 2)))))) (pow v 3))
(/ (+ (* 1/6 (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3))))) (* v (+ 2 (+ (* -2 u) (* -1/2 (pow (- (* 2 u) 2) 2)))))) (pow v 3))
(/ (+ 2 (+ (* -2 u) (* -1/2 (pow (- (* 2 u) 2) 2)))) (pow v 2))
(/ (+ 2 (+ (* -2 u) (+ (* -1/2 (pow (- (* 2 u) 2) 2)) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) v))))) (pow v 2))
(/ (+ 2 (+ (* -2 u) (+ (* -1/2 (pow (- (* 2 u) 2) 2)) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) v))))) (pow v 2))
(/ (+ 2 (+ (* -2 u) (+ (* -1/2 (pow (- (* 2 u) 2) 2)) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) v))))) (pow v 2))
(/ (+ 2 (+ (* -2 u) (* -1/2 (pow (- (* 2 u) 2) 2)))) (pow v 2))
(/ (+ 2 (+ (* -2 u) (+ (* -1/2 (pow (- (* 2 u) 2) 2)) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) v))))) (pow v 2))
(/ (+ 2 (+ (* -2 u) (+ (* -1/2 (pow (- (* 2 u) 2) 2)) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) v))))) (pow v 2))
(/ (+ 2 (+ (* -2 u) (+ (* -1/2 (pow (- (* 2 u) 2) 2)) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) v))))) (pow v 2))
Outputs
(/ 1 (exp (/ 2 v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/ 1 (exp (/ 2 v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/ 1 (exp (/ 2 v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/ 1 (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 v v)) (/.f32 #s(literal -2 binary32) v)))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) v))
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(+ 1 (* -2 (- 1 u)))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #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 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32))))) (*.f32 v v)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))) 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))))))
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -112 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32))))) (*.f32 v v)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))) v)))))
(+ 1 (* -2 (- 1 u)))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)))) (/.f32 #s(literal 1/6 binary32) v))) v))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
(-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -112 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))))) v) (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 4 binary32)))) (neg.f32 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 u (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (*.f32 #s(literal -1/2 binary32) u) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32))
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u (fma.f32 v (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (*.f32 u (*.f32 (*.f32 v (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32)))))) #s(literal -1 binary32))
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(fma.f32 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) #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 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u)))) #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 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u)))) (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) #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 v (+.f32 (log1p.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u)))) (*.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 v (*.f32 u (*.f32 u u)))) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 3 binary32)))) (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) #s(literal 1 binary32)))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) #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 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (fma.f32 v (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 u (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 1 binary32)))
(+ 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)))))))
(fma.f32 v (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (*.f32 u (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (/.f32 (*.f32 v (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) u)))
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-1
#s(literal -1 binary32)
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(* 8/3 (/ (pow u 3) (pow v 3)))
(/.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal 8/3 binary32)) (*.f32 v (*.f32 v v)))
(* -1 (* (pow u 3) (- (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3)))) (* 8/3 (/ 1 (pow v 3))))))
(*.f32 (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v (*.f32 v u)))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v (*.f32 v u))) (/.f32 #s(literal -8/3 binary32) (*.f32 v (*.f32 v v))))) (neg.f32 (*.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow v 2))) (+ (* 4/3 (/ 1 (pow v 3))) (* 4 (/ 1 (pow v 2))))) u)) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) u)) (* 8/3 (/ 1 (pow v 3))))))
(*.f32 (neg.f32 (+.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v v)))) u)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v))))) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))))) (neg.f32 (*.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow v 2))) (+ (* 4/3 (/ 1 (pow v 3))) (* 4 (/ 1 (pow v 2))))) u)) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) u)) (* 8/3 (/ 1 (pow v 3))))))
(*.f32 (neg.f32 (+.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v v)))) u)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v))))) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))))) (neg.f32 (*.f32 u (*.f32 u u))))
(* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) (pow v 3)))
(*.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (/.f32 #s(literal 1/6 binary32) (*.f32 v (*.f32 v v))))
(/ (+ (* 1/6 (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3))))) (* v (+ 2 (+ (* -2 u) (* -1/2 (pow (- (* 2 u) 2) 2)))))) (pow v 3))
(/.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (*.f32 v (fma.f32 u #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) #s(literal 2 binary32))))) (*.f32 v (*.f32 v v)))
(/ (+ (* 1/6 (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3))))) (* v (+ 2 (+ (* -2 u) (* -1/2 (pow (- (* 2 u) 2) 2)))))) (pow v 3))
(/.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (*.f32 v (fma.f32 u #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) #s(literal 2 binary32))))) (*.f32 v (*.f32 v v)))
(/ (+ (* 1/6 (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3))))) (* v (+ 2 (+ (* -2 u) (* -1/2 (pow (- (* 2 u) 2) 2)))))) (pow v 3))
(/.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (*.f32 v (fma.f32 u #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) #s(literal 2 binary32))))) (*.f32 v (*.f32 v v)))
(/ (+ 2 (+ (* -2 u) (* -1/2 (pow (- (* 2 u) 2) 2)))) (pow v 2))
(/.f32 (fma.f32 u #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) #s(literal 2 binary32))) (*.f32 v v))
(/ (+ 2 (+ (* -2 u) (+ (* -1/2 (pow (- (* 2 u) 2) 2)) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) v))))) (pow v 2))
(/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 u #s(literal -2 binary32))))) (*.f32 v v))
(/ (+ 2 (+ (* -2 u) (+ (* -1/2 (pow (- (* 2 u) 2) 2)) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) v))))) (pow v 2))
(/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 u #s(literal -2 binary32))))) (*.f32 v v))
(/ (+ 2 (+ (* -2 u) (+ (* -1/2 (pow (- (* 2 u) 2) 2)) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) v))))) (pow v 2))
(/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 u #s(literal -2 binary32))))) (*.f32 v v))
(/ (+ 2 (+ (* -2 u) (* -1/2 (pow (- (* 2 u) 2) 2)))) (pow v 2))
(/.f32 (fma.f32 u #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) #s(literal 2 binary32))) (*.f32 v v))
(/ (+ 2 (+ (* -2 u) (+ (* -1/2 (pow (- (* 2 u) 2) 2)) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) v))))) (pow v 2))
(/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 u #s(literal -2 binary32))))) (*.f32 v v))
(/ (+ 2 (+ (* -2 u) (+ (* -1/2 (pow (- (* 2 u) 2) 2)) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) v))))) (pow v 2))
(/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 u #s(literal -2 binary32))))) (*.f32 v v))
(/ (+ 2 (+ (* -2 u) (+ (* -1/2 (pow (- (* 2 u) 2) 2)) (* 1/6 (/ (+ (* -6 (* (+ 2 (* -2 u)) (- (* 2 u) 2))) (+ (* 2 (pow (- (* 2 u) 2) 3)) (* 6 (- (* 4/3 u) 4/3)))) v))))) (pow v 2))
(/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 u #s(literal -2 binary32))))) (*.f32 v v))

rewrite525.0ms (3.9%)

Memory
15.0MiB live, 539.8MiB allocated
Rules
4 176×lower-*.f64
4 158×lower-*.f32
3 632×lower-fma.f64
3 606×lower-fma.f32
2 640×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087638
0144584
1649556
26444556
08049524
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 423
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))))
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u))))
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
(fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))
(fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
(fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32))
#s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v)))
(fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)))
(fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32)))))
(+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))
(fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))
(exp.f32 (/.f32 #s(literal 2 binary32) v))
(*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))
(/.f32 #s(literal 4/3 binary32) v)
(/.f32 #s(literal 2/3 binary32) (*.f32 v v))
#s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))
(fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.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))
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (neg.f32 (neg.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) (neg.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(*.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1/2 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))
(+.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) (-.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32))
(fma.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) #s(literal 1 binary32))
(fma.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v #s(literal 1 binary32))
(fma.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) v #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))) (/.f32 (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) (-.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 2 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 3 binary32))) (fma.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) (-.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) (-.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) (-.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))))
(*.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))
(*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))
(*.f32 (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) v)
(*.f32 (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) v)
(log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(+.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) u))
(+.f32 (*.f32 #s(literal 2 binary32) u) #s(literal -2 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) (-.f32 #s(literal 4 binary32) (*.f32 u #s(literal -4 binary32)))) (fma.f32 #s(literal 8 binary32) (*.f32 u (*.f32 u u)) #s(literal -8 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32)) (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32))) #s(literal -1 binary32))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
(fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))
(fma.f32 (neg.f32 u) #s(literal -2 binary32) #s(literal -2 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 u #s(literal -2 binary32)) #s(literal -2 binary32))
(-.f32 #s(literal -2 binary32) (*.f32 u #s(literal -2 binary32)))
(-.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 u u)) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) (-.f32 #s(literal 4 binary32) (*.f32 u #s(literal -4 binary32)))) (fma.f32 #s(literal 8 binary32) (*.f32 u (*.f32 u u)) #s(literal -8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32)) (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32))))
(/.f32 (fma.f32 #s(literal 8 binary32) (*.f32 u (*.f32 u u)) #s(literal -8 binary32)) (fma.f32 #s(literal 4 binary32) (*.f32 u u) (-.f32 #s(literal 4 binary32) (*.f32 u #s(literal -4 binary32)))))
(/.f32 (fma.f32 #s(literal 8 binary32) (*.f32 u (*.f32 u u)) #s(literal -8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 u u)) (*.f32 u #s(literal -4 binary32)))))
(/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32)))
(/.f32 (neg.f32 (fma.f32 #s(literal 8 binary32) (*.f32 u (*.f32 u u)) #s(literal -8 binary32))) (neg.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) (-.f32 #s(literal 4 binary32) (*.f32 u #s(literal -4 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32))) (neg.f32 (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))))
(/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 u u))) (-.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))
(*.f32 (fma.f32 #s(literal 8 binary32) (*.f32 u (*.f32 u u)) #s(literal -8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 4 binary32) (*.f32 u u) (-.f32 #s(literal 4 binary32) (*.f32 u #s(literal -4 binary32))))))
(*.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u u) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (-.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (*.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))))) #s(literal -1 binary32))
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(/.f32 (neg.f32 (fma.f32 #s(literal 1/216 binary32) (pow.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) (*.f32 v (*.f32 v v))) #s(literal 3 binary32)) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v)) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) (*.f32 (*.f32 v v) (*.f32 v v)))))) (neg.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v)) (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) (*.f32 v (*.f32 v v))))) (/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) #s(literal 1/6 binary32))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 v (*.f32 v v)))))))
(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) #s(literal 1/6 binary32))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) (*.f32 (*.f32 v v) (*.f32 v v))))) (neg.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) (*.f32 v (*.f32 v v))) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v))))))
(/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) (*.f32 (*.f32 v v) (*.f32 v v))) (/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) #s(literal 1/6 binary32))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 v (*.f32 v v))))) (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) (*.f32 v (*.f32 v v))))))
(*.f32 (fma.f32 #s(literal 1/216 binary32) (pow.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) (*.f32 v (*.f32 v v))) #s(literal 3 binary32)) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v)) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) (*.f32 (*.f32 v v) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v)) (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v)) (*.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) (*.f32 v (*.f32 v v))))) (/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) #s(literal 1/6 binary32))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 v (*.f32 v v)))))))
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) #s(literal 1/6 binary32))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) (*.f32 (*.f32 v v) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 #s(literal -6 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u #s(literal 8 binary32) #s(literal -8 binary32)))) (*.f32 v (*.f32 v v))) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v))))))

eval130.0ms (1%)

Memory
11.6MiB live, 367.7MiB allocated
Compiler

Compiled 46 602 to 3 186 computations (93.2% saved)

prune316.0ms (2.4%)

Memory
-18.0MiB live, 661.2MiB allocated
Pruning

49 alts after pruning (44 fresh and 5 done)

PrunedKeptTotal
New82716843
Fresh32831
Picked325
Done033
Total83349882
Accuracy
100.0%
Counts
882 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
99.2%
(/.f32 (-.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32)))
14.5%
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (*.f32 u u))))))))
▶99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
✓99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))))
94.8%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 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)))) (-.f32 #s(literal 1 binary32) u) u)))))
89.4%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v)))) (-.f32 #s(literal 1 binary32) u) u)))))
93.0%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (-.f32 #s(literal 1 binary32) u) u)))))
✓99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
10.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #s(approx (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6))) (fma.f32 u (fma.f32 u #s(literal 24 binary32) #s(literal -40 binary32)) #s(literal 16 binary32)))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
11.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #s(approx (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6))) #s(literal 16 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
12.6%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 #s(approx (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (*.f32 u #s(literal 8 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
12.3%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(approx (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v))) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (/.f32 #s(literal -2 binary32) v)))))
▶8.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
12.3%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))))
8.8%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (+.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) u) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))))) (neg.f32 u)) (/.f32 #s(literal -8/3 binary32) (*.f32 v (*.f32 v v)))) (neg.f32 (*.f32 u (*.f32 u u))))))))
▶2.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))))))
10.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u))))) (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
14.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
7.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
12.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
12.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)))))
12.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
14.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
14.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
6.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
99.2%
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))
12.5%
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal -1 binary32))) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))))))
13.8%
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (/.f32 (+.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) v)))
✓84.2%
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
11.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) v)) u) v #s(literal -1 binary32)))
✓10.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
13.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
12.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
5.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)))
▶7.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
14.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
12.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 16 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))))) v)))
12.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) v)))
12.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
10.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v)) #s(literal -1 binary32)))
12.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
11.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 u #s(literal 4/3 binary32))) (neg.f32 v))) v))))
▶12.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
10.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (*.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -1 binary32) u)))))
✓5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 2 930 to 1 573 computations (46.3% saved)

simplify553.0ms (4.1%)

Memory
7.3MiB live, 840.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))
cost-diff0
#s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))
cost-diff0
(*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
cost-diff0
#s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))))
cost-diff0
#s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))))
cost-diff0
(*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))))))
cost-diff0
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v)))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
cost-diff96
(fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v))
cost-diff160
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))
cost-diff0
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
cost-diff0
(log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
cost-diff0
(*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
cost-diff3616
(fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))
Rules
16 282×lower-fma.f64
16 270×lower-fma.f32
5 774×lower-*.f64
5 756×lower-*.f32
1 788×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051658
01531454
13031395
27761379
325491296
454501248
084891166
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
#s(literal 1 binary32)
(*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
v
(log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(neg.f32 (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)
u
(+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
u
#s(literal 2 binary32)
#s(literal -1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v)))
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
u
#s(literal 2 binary32)
#s(literal -1 binary32)
(/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v)
(fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v))
#s(literal -2 binary32)
(/.f32 (*.f32 u #s(literal -4/3 binary32)) v)
(*.f32 u #s(literal -4/3 binary32))
#s(literal -4/3 binary32)
v
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))))))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))))))
v
#s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))))
#s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))))
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))
(*.f32 u (*.f32 u u))
u
(*.f32 u u)
(-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))
(/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v)))
#s(literal 8/3 binary32)
(*.f32 v (*.f32 v v))
(*.f32 v v)
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)
(+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v))))
(/.f32 #s(literal 2 binary32) (*.f32 v v))
#s(literal 2 binary32)
(/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))
#s(literal 4 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
v
#s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))
#s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))
(fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))
u
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))))
(+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))
#s(literal 4/3 binary32)
(*.f32 v (*.f32 v v))
(*.f32 v v)
(fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))
(-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v))))
(fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v)))
(/.f32 u (*.f32 v (*.f32 v v)))
#s(literal 8/3 binary32)
(/.f32 #s(literal -2 binary32) (*.f32 v v))
#s(literal -2 binary32)
(/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))
#s(literal 4 binary32)
(/.f32 #s(literal 2 binary32) (*.f32 v v))
(/.f32 #s(literal -2 binary32) v)
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
#s(literal 1 binary32)
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(*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))
v
(log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 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))
(fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 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)
(neg.f32 (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)
u
(+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
u
#s(literal 2 binary32)
#s(literal -1 binary32)
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(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
u
#s(literal 2 binary32)
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(/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v)
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(*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))
#s(literal -2 binary32)
(/.f32 (*.f32 u #s(literal -4/3 binary32)) v)
(*.f32 #s(literal -4/3 binary32) (/.f32 u v))
(*.f32 u #s(literal -4/3 binary32))
#s(literal -4/3 binary32)
v
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#s(literal 1 binary32)
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v
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#s(literal 2 binary32)
(/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))
#s(literal 4 binary32)
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v
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(fma.f32 u (+.f32 (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))
(-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v))))
(+.f32 (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v))))
(fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v)))
(fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 v v)))
(/.f32 u (*.f32 v (*.f32 v v)))
#s(literal 8/3 binary32)
(/.f32 #s(literal -2 binary32) (*.f32 v v))
#s(literal -2 binary32)
(/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))
#s(literal 4 binary32)
(/.f32 #s(literal 2 binary32) (*.f32 v v))
(/.f32 #s(literal -2 binary32) v)

localize291.0ms (2.2%)

Memory
18.4MiB live, 531.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy13.413336812987524
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))))
accuracy14.420774251801582
(fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))
accuracy18.976350790367764
(-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v))))
accuracy29.737420373814697
#s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))
accuracy0.7619724140874325
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))
accuracy19.34901617690262
(-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))
accuracy29.737420373814697
#s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))))
accuracy30.48286403560147
#s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))))
accuracy0.2578125
(/.f32 (*.f32 u #s(literal -4/3 binary32)) v)
accuracy0.33203125
(*.f32 u #s(literal -4/3 binary32))
accuracy15.847183928822892
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v)))
accuracy28.615990688658517
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
accuracy0
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
accuracy29.569954121307216
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
accuracy0.03515625
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
accuracy0.048202539073768064
(log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
accuracy0.09753596337095406
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.203125
(*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Samples
182.0ms256×0valid
Compiler

Compiled 811 to 95 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-mult: 44.0ms (29.3% of total)
ival-add: 40.0ms (26.7% of total)
ival-div: 28.0ms (18.7% of total)
const: 15.0ms (10% of total)
ival-log: 7.0ms (4.7% of total)
ival-exp: 4.0ms (2.7% of total)
ival-sub: 4.0ms (2.7% of total)
ival-neg: 4.0ms (2.7% of total)
ival-expm1: 2.0ms (1.3% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series86.0ms (0.6%)

Memory
6.8MiB live, 201.6MiB allocated
Counts
26 → 588
Calls
Call 1
Inputs
#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())
#s(alt (*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (patch (*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #<representation binary32>) () ())
#s(alt (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (patch (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (patch (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v)) (patch (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) (patch (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v)))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))) (patch #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))))))) #<representation binary32>) () ())
#s(alt (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))))) (patch (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))))) (patch #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))) (patch #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))) #<representation binary32>) () ())
#s(alt (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))) (patch (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))) (patch #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))) (patch #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 #s(literal -2 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
#s(alt (*.f32 u #s(literal -4/3 binary32)) (patch (*.f32 u #s(literal -4/3 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 u #s(literal -4/3 binary32)) v) (patch (/.f32 (*.f32 u #s(literal -4/3 binary32)) v) #<representation binary32>) () ())
#s(alt (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)) (patch (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))) (patch (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))) #<representation binary32>) () ())
#s(alt (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (patch (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) #<representation binary32>) () ())
#s(alt (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (patch (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) #<representation binary32>) () ())
#s(alt (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (patch (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) #<representation binary32>) () ())
Outputs
#s(alt (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))) (taylor 0 v) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))) (taylor 0 v) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))) (taylor 0 v) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))) (taylor 0 v) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ u (* -1 u))) (taylor inf v) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (+ u (+ (* -1 u) (* 2 (/ u v))))) (* 2 (/ 1 v))) (taylor inf v) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (+ u (+ (* -2 (/ u (pow v 2))) (+ (* -1 u) (+ (* 2 (/ u v)) (/ 2 (pow v 2))))))) (* 2 (/ 1 v))) (taylor inf v) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (+ u (+ (* -2 (/ u (pow v 2))) (+ (* -1 u) (+ (* 4/3 (/ u (pow v 3))) (+ (* 2 (/ u v)) (/ 2 (pow v 2)))))))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3))))) (taylor inf v) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ u (* -1 u))) (taylor -inf v) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ u (+ (* -1 u) (* -1 (/ (+ 2 (* -2 u)) v))))) (taylor -inf v) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ u (+ (* -1 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (* -2 u)) v)))) v))))) (taylor -inf v) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ u (+ (* -1 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 4/3 (* -4/3 u)) v)))) v)))) v))))) (taylor -inf v) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (exp (/ -2 v)) (taylor 0 u) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) (taylor 0 u) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) (taylor 0 u) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))) (taylor 0 u) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (* u (+ 1 (* -1 (exp (/ -2 v))))) (taylor inf u) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) (taylor inf u) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) (taylor inf u) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) (taylor inf u) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u (- (exp (/ -2 v)) 1))) (taylor -inf u) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) (taylor -inf u) (#s(alt (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())) ())
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#s(alt (* (pow u 2) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 2 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 3)))) (* 8/3 (/ 1 (pow v 3)))))) (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3)))))) (taylor inf u) (#s(alt (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (patch (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) #<representation binary32>) () ())) ())
#s(alt (* 8/3 (/ (pow u 2) (pow v 3))) (taylor -inf u) (#s(alt (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (patch (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))) u)) (* 8/3 (/ 1 (pow v 3))))) (taylor -inf u) (#s(alt (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (patch (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* 4/3 (/ 1 (pow v 3))))) u)) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) u)) (* 8/3 (/ 1 (pow v 3))))) (taylor -inf u) (#s(alt (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (patch (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* 4/3 (/ 1 (pow v 3))))) u)) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) u)) (* 8/3 (/ 1 (pow v 3))))) (taylor -inf u) (#s(alt (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (patch (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) #<representation binary32>) () ())) ())
Calls

147 calls:

TimeVariablePointExpression
3.0ms
u
@0
(- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))
2.0ms
u
@inf
(+ (* -2 u) (/ (* u -4/3) v))
2.0ms
v
@-inf
(- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))
1.0ms
u
@0
(- (/ 8/3 (* v (* v v))) (/ (+ (/ 2 (* v v)) (/ 4 (* v (* v v)))) u))
1.0ms
u
@-inf
(- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v))

simplify473.0ms (3.5%)

Memory
11.2MiB live, 722.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 060×lower-fma.f64
10 060×lower-fma.f32
5 636×lower-+.f64
5 636×lower-+.f32
5 142×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084916508
1255413659
0857412370
Stop Event
1×iter limit
1×node limit
Counts
588 → 588
Calls
Call 1
Inputs
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(+ 1 (+ u (* -1 u)))
(- (+ 1 (+ u (+ (* -1 u) (* 2 (/ u v))))) (* 2 (/ 1 v)))
(- (+ 1 (+ u (+ (* -2 (/ u (pow v 2))) (+ (* -1 u) (+ (* 2 (/ u v)) (/ 2 (pow v 2))))))) (* 2 (/ 1 v)))
(- (+ 1 (+ u (+ (* -2 (/ u (pow v 2))) (+ (* -1 u) (+ (* 4/3 (/ u (pow v 3))) (+ (* 2 (/ u v)) (/ 2 (pow v 2)))))))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(+ 1 (+ u (* -1 u)))
(+ 1 (+ u (+ (* -1 u) (* -1 (/ (+ 2 (* -2 u)) v)))))
(+ 1 (+ u (+ (* -1 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (* -2 u)) v)))) v)))))
(+ 1 (+ u (+ (* -1 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 4/3 (* -4/3 u)) v)))) v)))) 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 (exp (/ -2 v)))))))))
(+ 1 (* v (log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))))))
(+ 1 (* v (log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))))))
(* v (log (+ 1 (+ u (* -1 u)))))
(* v (- (+ (log (+ 1 (+ u (* -1 u)))) (+ (* 2 (/ u (* v (+ 1 (+ u (* -1 u)))))) (/ 1 v))) (/ 2 (* v (+ 1 (+ u (* -1 u)))))))
(* v (- (+ (log (+ 1 (+ u (* -1 u)))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (- (* 2 u) 2) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) (pow v 2))) (+ (* 2 (/ u (* v (+ 1 (+ u (* -1 u)))))) (/ 1 v)))) (/ 2 (* v (+ 1 (+ u (* -1 u)))))))
(* v (- (+ (log (+ 1 (+ u (* -1 u)))) (+ (* 1/6 (/ (+ (* -6 (/ (* (+ 2 (* -2 u)) (- (* 2 u) 2)) (pow (+ 1 (+ u (* -1 u))) 2))) (+ (* 2 (/ (pow (- (* 2 u) 2) 3) (pow (+ 1 (+ u (* -1 u))) 3))) (* 6 (/ (- (* 4/3 u) 4/3) (+ 1 (+ u (* -1 u))))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (- (* 2 u) 2) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) (pow v 2))) (+ (* 2 (/ u (* v (+ 1 (+ u (* -1 u)))))) (/ 1 v))))) (/ 2 (* v (+ 1 (+ u (* -1 u)))))))
(* v (log (+ 1 (+ u (* -1 u)))))
(* -1 (* v (+ (* -1 (log (+ 1 (+ u (* -1 u))))) (* -1 (/ (+ 1 (* -1 (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (* 2 (/ 1 (+ 1 (+ u (* -1 u)))))))) v)))))
(* -1 (* v (+ (* -1 (log (+ 1 (+ u (* -1 u))))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (* 2 (/ 1 (+ 1 (+ u (* -1 u))))))) (* 1/2 (/ (+ (* -1 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) v)))) v)))))
(* -1 (* v (+ (* -1 (log (+ 1 (+ u (* -1 u))))) (* -1 (/ (+ 1 (+ (* -1 (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (* 2 (/ 1 (+ 1 (+ u (* -1 u))))))) (* -1 (/ (+ (* -1/2 (+ (* -1 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u))))))) (* 1/6 (/ (+ (* -6 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (+ (* 2 (/ (pow (+ 2 (* -2 u)) 3) (pow (+ 1 (+ u (* -1 u))) 3))) (* 6 (/ (+ 4/3 (* -4/3 u)) (+ 1 (+ u (* -1 u))))))) v))) v)))) v)))))
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(* v (log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))))
(* v (log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))))
(* v (log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))))
(* v (log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))))
(* v (log (+ 1 (+ u (* -1 u)))))
(* v (- (+ (log (+ 1 (+ u (* -1 u)))) (* 2 (/ u (* v (+ 1 (+ u (* -1 u))))))) (/ 2 (* v (+ 1 (+ u (* -1 u)))))))
(* v (- (+ (log (+ 1 (+ u (* -1 u)))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (- (* 2 u) 2) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) (pow v 2))) (* 2 (/ u (* v (+ 1 (+ u (* -1 u)))))))) (/ 2 (* v (+ 1 (+ u (* -1 u)))))))
(* v (- (+ (log (+ 1 (+ u (* -1 u)))) (+ (* 1/6 (/ (+ (* -6 (/ (* (+ 2 (* -2 u)) (- (* 2 u) 2)) (pow (+ 1 (+ u (* -1 u))) 2))) (+ (* 2 (/ (pow (- (* 2 u) 2) 3) (pow (+ 1 (+ u (* -1 u))) 3))) (* 6 (/ (- (* 4/3 u) 4/3) (+ 1 (+ u (* -1 u))))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (- (* 2 u) 2) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) (pow v 2))) (* 2 (/ u (* v (+ 1 (+ u (* -1 u))))))))) (/ 2 (* v (+ 1 (+ u (* -1 u)))))))
(* v (log (+ 1 (+ u (* -1 u)))))
(* -1 (* v (+ (* -2 (/ u (* v (+ 1 (+ u (* -1 u)))))) (+ (* -1 (log (+ 1 (+ u (* -1 u))))) (/ 2 (* v (+ 1 (+ u (* -1 u)))))))))
(* -1 (* v (+ (* -1 (log (+ 1 (+ u (* -1 u))))) (* -1 (/ (+ (* -1 (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (* 2 (/ 1 (+ 1 (+ u (* -1 u))))))) (* 1/2 (/ (+ (* -1 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) v))) v)))))
(* -1 (* v (+ (* -1 (log (+ 1 (+ u (* -1 u))))) (* -1 (/ (+ (* -1 (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (* 2 (/ 1 (+ 1 (+ u (* -1 u))))))) (* -1 (/ (+ (* -1/2 (+ (* -1 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u))))))) (* 1/6 (/ (+ (* -6 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (+ (* 2 (/ (pow (+ 2 (* -2 u)) 3) (pow (+ 1 (+ u (* -1 u))) 3))) (* 6 (/ (+ 4/3 (* -4/3 u)) (+ 1 (+ u (* -1 u))))))) v))) v))) 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))))))
(log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))))
(log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))))
(log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))))
(log (+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v)))))))
(log (+ 1 (+ u (* -1 u))))
(- (+ (log (+ 1 (+ u (* -1 u)))) (* 2 (/ u (* v (+ 1 (+ u (* -1 u))))))) (/ 2 (* v (+ 1 (+ u (* -1 u))))))
(- (+ (log (+ 1 (+ u (* -1 u)))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (- (* 2 u) 2) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) (pow v 2))) (* 2 (/ u (* v (+ 1 (+ u (* -1 u)))))))) (/ 2 (* v (+ 1 (+ u (* -1 u))))))
(- (+ (log (+ 1 (+ u (* -1 u)))) (+ (* 1/6 (/ (+ (* -6 (/ (* (+ 2 (* -2 u)) (- (* 2 u) 2)) (pow (+ 1 (+ u (* -1 u))) 2))) (+ (* 2 (/ (pow (- (* 2 u) 2) 3) (pow (+ 1 (+ u (* -1 u))) 3))) (* 6 (/ (- (* 4/3 u) 4/3) (+ 1 (+ u (* -1 u))))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -1 (/ (pow (- (* 2 u) 2) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) (pow v 2))) (* 2 (/ u (* v (+ 1 (+ u (* -1 u))))))))) (/ 2 (* v (+ 1 (+ u (* -1 u))))))
(log (+ 1 (+ u (* -1 u))))
(+ (log (+ 1 (+ u (* -1 u)))) (* -1 (/ (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (* 2 (/ 1 (+ 1 (+ u (* -1 u)))))) v)))
(+ (log (+ 1 (+ u (* -1 u)))) (* -1 (/ (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (+ (* -1/2 (/ (+ (* -1 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))) v)) (* 2 (/ 1 (+ 1 (+ u (* -1 u))))))) v)))
(+ (log (+ 1 (+ u (* -1 u)))) (* -1 (/ (+ (* -2 (/ u (+ 1 (+ u (* -1 u))))) (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (+ (* 2 (/ (pow (+ 2 (* -2 u)) 3) (pow (+ 1 (+ u (* -1 u))) 3))) (* 6 (/ (+ 4/3 (* -4/3 u)) (+ 1 (+ u (* -1 u))))))) v)) (* 1/2 (+ (* -1 (/ (pow (+ 2 (* -2 u)) 2) (pow (+ 1 (+ u (* -1 u))) 2))) (* 2 (/ (+ 2 (* -2 u)) (+ 1 (+ u (* -1 u)))))))) v)) (* 2 (/ 1 (+ 1 (+ u (* -1 u))))))) v)))
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
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Outputs
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ u (+ (exp (/ -2 v)) (* -1 (* u (exp (/ -2 v))))))
(fma.f32 (+.f32 (neg.f32 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ 1 (+ u (* -1 u)))
#s(literal 1 binary32)
(- (+ 1 (+ u (+ (* -1 u) (* 2 (/ u v))))) (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v))
(- (+ 1 (+ u (+ (* -2 (/ u (pow v 2))) (+ (* -1 u) (+ (* 2 (/ u v)) (/ 2 (pow v 2))))))) (* 2 (/ 1 v)))
(+.f32 (+.f32 u (fma.f32 #s(literal -2 binary32) (/.f32 u (*.f32 v v)) (-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) (*.f32 v v))) u))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v)))
(- (+ 1 (+ u (+ (* -2 (/ u (pow v 2))) (+ (* -1 u) (+ (* 4/3 (/ u (pow v 3))) (+ (* 2 (/ u v)) (/ 2 (pow v 2)))))))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) (*.f32 v v))) u))) (-.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))))))
(+ 1 (+ u (* -1 u)))
#s(literal 1 binary32)
(+ 1 (+ u (+ (* -1 u) (* -1 (/ (+ 2 (* -2 u)) v)))))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v))
(+ 1 (+ u (+ (* -1 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (* -2 u)) v)))) v)))))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v)) (neg.f32 v)))
(+ 1 (+ u (+ (* -1 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (+ 4/3 (* -4/3 u)) v)))) v)))) v)))))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (+.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) v)) v)) (neg.f32 v)))
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(/ (- (* -1 (/ (+ 4 (* -8/3 u)) v)) 2) (pow v 2))
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(/ 2 (pow v 2))
(/.f32 #s(literal 2 binary32) (*.f32 v v))
(+ (* -1 (* u (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))))) (* 2 (/ 1 (pow v 2))))
(fma.f32 u (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))
(+ (* u (+ (* -1 (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) (* 8/3 (/ u (pow v 3))))) (* 2 (/ 1 (pow v 2))))
(fma.f32 u (-.f32 (/.f32 (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))
(+ (* u (+ (* -1 (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) (* 8/3 (/ u (pow v 3))))) (* 2 (/ 1 (pow v 2))))
(fma.f32 u (-.f32 (/.f32 (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))
(* 8/3 (/ (pow u 2) (pow v 3)))
(/.f32 (*.f32 #s(literal 8/3 binary32) (*.f32 u u)) (*.f32 v (*.f32 v v)))
(* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))) u)) (* 8/3 (/ 1 (pow v 3)))))
(*.f32 (*.f32 u u) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v)))))
(* (pow u 2) (- (+ (* 8/3 (/ 1 (pow v 3))) (/ 2 (* (pow u 2) (pow v 2)))) (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3))))))
(*.f32 (*.f32 u u) (-.f32 (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 u (*.f32 v v))))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 u (*.f32 v v)))))))
(* (pow u 2) (- (+ (* 8/3 (/ 1 (pow v 3))) (/ 2 (* (pow u 2) (pow v 2)))) (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3))))))
(*.f32 (*.f32 u u) (-.f32 (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 u (*.f32 v v))))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 u (*.f32 v v)))))))
(* 8/3 (/ (pow u 2) (pow v 3)))
(/.f32 (*.f32 #s(literal 8/3 binary32) (*.f32 u u)) (*.f32 v (*.f32 v v)))
(* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))) u)) (* 8/3 (/ 1 (pow v 3)))))
(*.f32 (*.f32 u u) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v)))))
(* (pow u 2) (+ (* -1 (/ (- (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))) (* 2 (/ 1 (* u (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 3)))))
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 u (*.f32 v v))))) u)))
(* (pow u 2) (+ (* -1 (/ (- (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))) (* 2 (/ 1 (* u (pow v 2))))) u)) (* 8/3 (/ 1 (pow v 3)))))
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 u (*.f32 v v))))) u)))
(/ (* u (- (* 8/3 u) 4)) (pow v 3))
(/.f32 (*.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32))) (*.f32 v (*.f32 v v)))
(/ (+ (* u (- (* 8/3 u) 4)) (* v (+ 2 (* -2 u)))) (pow v 3))
(/.f32 (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) (*.f32 v (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) (*.f32 v (*.f32 v v)))
(/ (+ (* u (- (* 8/3 u) 4)) (* v (+ 2 (* -2 u)))) (pow v 3))
(/.f32 (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) (*.f32 v (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) (*.f32 v (*.f32 v v)))
(/ (+ (* u (- (* 8/3 u) 4)) (* v (+ 2 (* -2 u)))) (pow v 3))
(/.f32 (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) (*.f32 v (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) (*.f32 v (*.f32 v v)))
(/ (+ 2 (* -2 u)) (pow v 2))
(/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 v v))
(/ (+ 2 (+ (* -2 u) (/ (* u (- (* 8/3 u) 4)) v))) (pow v 2))
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v))
(/ (+ 2 (+ (* -2 u) (/ (* u (- (* 8/3 u) 4)) v))) (pow v 2))
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v))
(/ (+ 2 (+ (* -2 u) (/ (* u (- (* 8/3 u) 4)) v))) (pow v 2))
(/.f32 (fma.f32 u (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v))
(/ (+ 2 (* -2 u)) (pow v 2))
(/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 v v))
(/ (+ 2 (+ (* -2 u) (* -1 (/ (* u (+ 4 (* -8/3 u))) v)))) (pow v 2))
(/.f32 (fma.f32 u (/.f32 (fma.f32 u #s(literal -8/3 binary32) #s(literal 4 binary32)) (neg.f32 v)) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v))
(/ (+ 2 (+ (* -2 u) (* -1 (/ (* u (+ 4 (* -8/3 u))) v)))) (pow v 2))
(/.f32 (fma.f32 u (/.f32 (fma.f32 u #s(literal -8/3 binary32) #s(literal 4 binary32)) (neg.f32 v)) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v))
(/ (+ 2 (+ (* -2 u) (* -1 (/ (* u (+ 4 (* -8/3 u))) v)))) (pow v 2))
(/.f32 (fma.f32 u (/.f32 (fma.f32 u #s(literal -8/3 binary32) #s(literal 4 binary32)) (neg.f32 v)) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 v v))
(/ (+ 4/3 (* u (- (* 8/3 u) 4))) (pow v 3))
(/.f32 (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32)) (*.f32 v (*.f32 v v)))
(/ (+ 4/3 (+ (* u (- (* 8/3 u) 4)) (* v (+ 2 (* -2 u))))) (pow v 3))
(/.f32 (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) (fma.f32 v (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 4/3 binary32))) (*.f32 v (*.f32 v v)))
(/ (+ 4/3 (+ (* u (- (* 8/3 u) 4)) (* v (+ 2 (+ (* -2 u) (* 2 v)))))) (pow v 3))
(/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32))) (*.f32 v (*.f32 v v)))
(/ (+ 4/3 (+ (* u (- (* 8/3 u) 4)) (* v (+ 2 (+ (* -2 u) (* 2 v)))))) (pow v 3))
(/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32))) (*.f32 v (*.f32 v v)))
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (+ (* -2 (/ u v)) (* 2 (/ 1 v)))) v)
(/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) v)
(/ (+ 2 (+ (* -2 (/ u v)) (+ (* 2 (/ 1 v)) (+ (/ 4/3 (pow v 2)) (/ (* u (- (* 8/3 u) 4)) (pow v 2)))))) v)
(/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) (*.f32 v v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) v)
(/ (+ 2 (+ (* -2 (/ u v)) (+ (* 2 (/ 1 v)) (+ (/ 4/3 (pow v 2)) (/ (* u (- (* 8/3 u) 4)) (pow v 2)))))) v)
(/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) (*.f32 v v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))))) v)
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(* -1 (/ (- (* -1 (/ (+ 2 (* -2 u)) v)) 2) v))
(/.f32 (+.f32 (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v) #s(literal -2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (- (* u (+ 4 (* -8/3 u))) 4/3) v)))) v)) 2) v))
(/.f32 (+.f32 (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u (fma.f32 u #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* -2 u) (* -1 (/ (- (* u (+ 4 (* -8/3 u))) 4/3) v)))) v)) 2) v))
(/.f32 (+.f32 (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u (fma.f32 u #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v))
(+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* 4/3 (/ 1 (pow v 3)))))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))
(+ (* -1 (* u (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))))) (+ (* 4/3 (/ 1 (pow v 3))) (+ (* 2 (/ 1 v)) (* 2 (/ 1 (pow v 2))))))
(fma.f32 u (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))))
(+ (* 4/3 (/ 1 (pow v 3))) (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* u (+ (* -1 (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) (* 8/3 (/ u (pow v 3))))))))
(+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (fma.f32 u (-.f32 (/.f32 (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))))
(+ (* 4/3 (/ 1 (pow v 3))) (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* u (+ (* -1 (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) (* 8/3 (/ u (pow v 3))))))))
(+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (fma.f32 u (-.f32 (/.f32 (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))))
(* 8/3 (/ (pow u 2) (pow v 3)))
(/.f32 (*.f32 #s(literal 8/3 binary32) (*.f32 u u)) (*.f32 v (*.f32 v v)))
(* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))) u)) (* 8/3 (/ 1 (pow v 3)))))
(*.f32 (*.f32 u u) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v)))))
(* (pow u 2) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 2 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 3)))) (* 8/3 (/ 1 (pow v 3)))))) (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3))))))
(*.f32 (*.f32 u u) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 u (*.f32 v v)))) (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 u (*.f32 v (*.f32 u (*.f32 v v))))))) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 u v))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 u (*.f32 v v))))))))
(* (pow u 2) (- (+ (* 2 (/ 1 (* (pow u 2) v))) (+ (* 2 (/ 1 (* (pow u 2) (pow v 2)))) (+ (* 4/3 (/ 1 (* (pow u 2) (pow v 3)))) (* 8/3 (/ 1 (pow v 3)))))) (+ (/ 2 (* u (pow v 2))) (/ 4 (* u (pow v 3))))))
(*.f32 (*.f32 u u) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 u (*.f32 v v)))) (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4/3 binary32) (*.f32 u (*.f32 v (*.f32 u (*.f32 v v))))))) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 u v))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 u (*.f32 v v))))))))
(* 8/3 (/ (pow u 2) (pow v 3)))
(/.f32 (*.f32 #s(literal 8/3 binary32) (*.f32 u u)) (*.f32 v (*.f32 v v)))
(* (pow u 2) (+ (* -1 (/ (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3)))) u)) (* 8/3 (/ 1 (pow v 3)))))
(*.f32 (*.f32 u u) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))) u) (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v)))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* 4/3 (/ 1 (pow v 3))))) u)) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) u)) (* 8/3 (/ 1 (pow v 3)))))
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) u)) u)))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* 4/3 (/ 1 (pow v 3))))) u)) (+ (* 2 (/ 1 (pow v 2))) (* 4 (/ 1 (pow v 3))))) u)) (* 8/3 (/ 1 (pow v 3)))))
(*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) u)) u)))

rewrite400.0ms (3%)

Memory
25.5MiB live, 640.8MiB allocated
Rules
5 548×lower-fma.f64
5 536×lower-fma.f32
5 140×lower-*.f64
5 122×lower-*.f32
4 010×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051424
01531218
17411141
08259999
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 421
Calls
Call 1
Inputs
(fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
(-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))
(fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))))))
(*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))))))
#s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))))
#s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
(*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
#s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))
#s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(*.f32 u #s(literal -4/3 binary32))
(/.f32 (*.f32 u #s(literal -4/3 binary32)) v)
(-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u))
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))
(-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v))))
(fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))))
Outputs
(+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u))
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(+.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)) (neg.f32 u)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(+.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) 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)
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 u (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 u #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal 1 binary32) u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(fma.f32 #s(literal -1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (fma.f32 u (*.f32 u u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 u u))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(fma.f32 (fma.f32 u u (neg.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (/.f32 #s(literal 1 binary32) (-.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(fma.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)) u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(-.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(-.f32 (/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) (neg.f32 u))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))
(-.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) (neg.f32 u))) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))) (/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))
(-.f32 (/.f32 (*.f32 u u) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) 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 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) (neg.f32 u)))) (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (-.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) (neg.f32 u))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (-.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) (neg.f32 u))) (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (*.f32 u u)) (fma.f32 u (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.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 (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) #s(literal 3 binary32))) (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) #s(literal 3 binary32))) (fma.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) (neg.f32 u)))))
(/.f32 (fma.f32 u (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (*.f32 u u)))
(/.f32 (fma.f32 u (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (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 (*.f32 u u) (*.f32 (*.f32 u (-.f32 #s(literal 1 binary32) u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(/.f32 (-.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) (neg.f32 u)))) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) 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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))
(/.f32 (-.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) (neg.f32 u))) (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32))) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) (neg.f32 u))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #s(literal 2 binary32)) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) (neg.f32 u))))) (neg.f32 (+.f32 (+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))
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(/.f32 (-.f32 (*.f32 (fma.f32 u (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (fma.f32 u (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (*.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))))) (-.f32 (fma.f32 u (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))))))
(/.f32 (-.f32 (*.f32 (fma.f32 u (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))))) (fma.f32 u (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v (*.f32 v v))))) (-.f32 (fma.f32 u (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))))) (/.f32 #s(literal 2 binary32) (*.f32 v v))))
(*.f32 (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (*.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))))) (pow.f32 (fma.f32 u (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 u (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (-.f32 (fma.f32 u (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))))) (*.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))))))))
(*.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (fma.f32 u (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (fma.f32 u (fma.f32 u (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4 binary32) v)) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))))

eval144.0ms (1.1%)

Memory
-3.6MiB live, 251.7MiB allocated
Compiler

Compiled 44 019 to 2 926 computations (93.4% saved)

prune286.0ms (2.1%)

Memory
-29.6MiB live, 532.1MiB allocated
Pruning

58 alts after pruning (51 fresh and 7 done)

PrunedKeptTotal
New1 032181 050
Fresh63339
Picked325
Done055
Total1 041581 099
Accuracy
100.0%
Counts
1 099 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
99.2%
(/.f32 (-.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32)))
14.5%
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (*.f32 u u))))))))
✓99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
✓99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))))
94.8%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 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)))) (-.f32 #s(literal 1 binary32) u) u)))))
89.4%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v)))) (-.f32 #s(literal 1 binary32) u) u)))))
93.0%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (-.f32 #s(literal 1 binary32) u) u)))))
✓99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
10.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
11.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #s(approx (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6))) #s(literal 16 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
8.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u #s(approx (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v)))) (/.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) v) #s(literal 2 binary32)) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
12.3%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u #s(approx (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v)))) (/.f32 (*.f32 u #s(literal 8/3 binary32)) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
12.3%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))))
12.6%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) #s(approx (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v))) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32))) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
13.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (+.f32 (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 #s(literal -2 binary32) v))))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (+.f32 (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u (fma.f32 u #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 #s(literal -2 binary32) v))))))
8.8%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (+.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) u) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))))) (neg.f32 u)) (/.f32 #s(literal -8/3 binary32) (*.f32 v (*.f32 v v)))) (neg.f32 (*.f32 u (*.f32 u u))))))))
3.6%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) #s(approx (- (/ 8/3 (* v (* v v))) (/ (+ (/ 2 (* v v)) (/ 4 (* v (* v v)))) u)) (/.f32 (-.f32 #s(literal 8/3 binary32) (/.f32 #s(literal 4 binary32) u)) (*.f32 v (*.f32 v v)))))))))
3.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) #s(approx (* (* u (* u u)) (- (/ 8/3 (* v (* v v))) (/ (+ (/ 2 (* v v)) (/ 4 (* v (* v v)))) u))) (*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))))))))))
10.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u))))) (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
14.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
7.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
12.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)))))
12.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
14.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
14.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
6.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
99.2%
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))
12.5%
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal -1 binary32))) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))))))
13.8%
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (/.f32 (+.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) v)))
✓84.2%
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
11.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) v)) u) v #s(literal -1 binary32)))
✓10.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
13.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
5.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)))
✓7.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
14.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
12.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 16 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))))) v)))
12.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) v)))
12.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
10.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v)) #s(literal -1 binary32)))
12.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
12.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal -4/3 binary32) v) #s(literal -2 binary32))) v)))))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
11.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 u #s(literal 4/3 binary32))) (neg.f32 v))) v))))
14.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
12.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
12.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
11.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
12.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
9.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
12.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v))))))
7.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
✓5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 3 904 to 1 366 computations (65% saved)

regimes98.0ms (0.7%)

Memory
22.2MiB live, 175.4MiB 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 (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal -4/3 binary32) v) #s(literal -2 binary32))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))))
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(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #s(approx (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6))) (fma.f32 u (fma.f32 u #s(literal 24 binary32) #s(literal -40 binary32)) #s(literal 16 binary32)))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 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)))) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (+.f32 (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal -1 binary32))) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (+.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) u) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))))) (neg.f32 u)) (/.f32 #s(literal -8/3 binary32) (*.f32 v (*.f32 v v)))) (neg.f32 (*.f32 u (*.f32 u u))))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #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 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #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 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 (+.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) u) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32)))) (neg.f32 (*.f32 u u))))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 (log.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (*.f32 u u))))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 v u)) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v))))) #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u (fma.f32 u (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) v)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 v u) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))))) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32)))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))))
Calls

4 calls:

24.0ms
v
23.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
23.0ms
u
22.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
99.6%1u
99.6%1v
99.6%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
99.6%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes85.0ms (0.6%)

Memory
16.7MiB live, 171.2MiB allocated
Counts
76 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
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(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v)))) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #s(approx (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6))) #s(literal 16 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #s(approx (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6))) (fma.f32 u (fma.f32 u #s(literal 24 binary32) #s(literal -40 binary32)) #s(literal 16 binary32)))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 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)))) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (+.f32 (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal -1 binary32))) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (+.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) u) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))))) (neg.f32 u)) (/.f32 #s(literal -8/3 binary32) (*.f32 v (*.f32 v v)))) (neg.f32 (*.f32 u (*.f32 u u))))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #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 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
Calls

4 calls:

21.0ms
v
21.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
20.0ms
u
18.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
99.6%1u
99.6%1v
99.6%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
99.6%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes85.0ms (0.6%)

Memory
-1.1MiB live, 151.6MiB allocated
Counts
74 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal -4/3 binary32) v) #s(literal -2 binary32))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
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(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (+.f32 (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 u #s(literal 4/3 binary32) #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 #s(literal 4/3 binary32) u #s(literal -4/3 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -6 binary32))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal -1 binary32))) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (+.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v v)))))) u) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))))) (neg.f32 u)) (/.f32 #s(literal -8/3 binary32) (*.f32 v (*.f32 v v)))) (neg.f32 (*.f32 u (*.f32 u u))))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
Calls

4 calls:

21.0ms
v
20.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
20.0ms
u
19.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
99.6%1u
99.6%1v
99.6%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
99.6%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes87.0ms (0.6%)

Memory
10.7MiB live, 137.2MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal -4/3 binary32) v) #s(literal -2 binary32))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 u #s(literal 4/3 binary32))) (neg.f32 v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (/.f32 (+.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) v)) u) v #s(literal -1 binary32)))
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Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 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)))) (-.f32 #s(literal 1 binary32) u) u)))))
Calls

4 calls:

27.0ms
v
21.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
17.0ms
u
17.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
94.8%1u
94.8%1v
94.8%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)))))))
94.8%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)

regimes76.0ms (0.6%)

Memory
-28.8MiB live, 126.5MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal -4/3 binary32) v) #s(literal -2 binary32))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 u #s(literal 4/3 binary32))) (neg.f32 v))) v))))
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#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (/.f32 (+.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) v)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
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(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 16 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u #s(approx (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v)))) (/.f32 (*.f32 u #s(literal 8/3 binary32)) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 #s(approx (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (*.f32 u #s(literal 8 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u #s(approx (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v)))) (/.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) v) #s(literal 2 binary32)) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v)) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u))))) (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (*.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -1 binary32) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v)))) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #s(approx (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6))) #s(literal 16 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u (-.f32 (fma.f32 (/.f32 u (*.f32 v (*.f32 v v))) #s(literal 8/3 binary32) (/.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #s(approx (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6))) (fma.f32 u (fma.f32 u #s(literal 24 binary32) #s(literal -40 binary32)) #s(literal 16 binary32)))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (-.f32 #s(literal 1 binary32) u) u)))))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (-.f32 #s(literal 1 binary32) u) u)))))
Calls

4 calls:

20.0ms
u
18.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
17.0ms
v
15.0ms
(+.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
93.0%1u
93.0%1v
93.0%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)))))))
93.0%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)

regimes137.0ms (1%)

Memory
4.8MiB live, 79.4MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
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Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v)))) (-.f32 #s(literal 1 binary32) u) u)))))
Calls

4 calls:

80.0ms
(+.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)))))))
21.0ms
u
16.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
16.0ms
v
Results
AccuracySegmentsBranch
89.4%1u
89.4%1v
89.4%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)))))))
89.4%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)

regimes70.0ms (0.5%)

Memory
34.5MiB live, 111.5MiB allocated
Counts
60 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
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(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 16 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u #s(approx (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v)))) (/.f32 (*.f32 u #s(literal 8/3 binary32)) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 #s(approx (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (*.f32 u #s(literal 8 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (fma.f32 u #s(approx (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v)))) (/.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) v) #s(literal 2 binary32)) (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v)) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u))))) (fma.f32 (*.f32 v u) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (*.f32 u (fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -1 binary32) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 16 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))))) v)))
Calls

4 calls:

19.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
17.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
15.0ms
u
15.0ms
v
Results
AccuracySegmentsBranch
84.2%1u
88.5%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)))))))
88.5%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
88.5%2v
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes16.0ms (0.1%)

Memory
-10.7MiB live, 27.1MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal -4/3 binary32) v) #s(literal -2 binary32))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) #s(approx (* (* u (* u u)) (- (/ 8/3 (* v (* v v))) (/ (+ (/ 2 (* v v)) (/ 4 (* v (* v v)))) u))) (*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) #s(approx (- (/ 8/3 (* v (* v v))) (/ (+ (/ 2 (* v v)) (/ 4 (* v (* v v)))) u)) (/.f32 (-.f32 #s(literal 8/3 binary32) (/.f32 #s(literal 4 binary32) u)) (*.f32 v (*.f32 v v)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (+.f32 (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 #s(literal -2 binary32) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 u #s(literal 4/3 binary32))) (neg.f32 v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (/.f32 (+.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) v)) u) v #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32))) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(approx (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v))) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) #s(approx (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v))) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (+.f32 (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u (fma.f32 u #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 #s(literal -2 binary32) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) (*.f32 v (*.f32 v v)))) u)))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
Calls

1 calls:

12.0ms
v
Results
AccuracySegmentsBranch
88.5%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory
-11.0MiB live, 24.9MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal -4/3 binary32) v) #s(literal -2 binary32))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v))))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 u #s(literal 4/3 binary32))) (neg.f32 v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (/.f32 (+.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) v)) u) v #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32))) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(approx (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v))) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) #s(approx (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v))) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (+.f32 (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u (fma.f32 u #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 #s(literal -2 binary32) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
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 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
Calls

1 calls:

13.0ms
v
Results
AccuracySegmentsBranch
88.5%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
28.3MiB live, 28.3MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal -4/3 binary32) v) #s(literal -2 binary32))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 u #s(literal 4/3 binary32))) (neg.f32 v))) v))))
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#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (/.f32 (+.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) v)) u) v #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32))) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(approx (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v))) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) #s(approx (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v))) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (+.f32 (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u (fma.f32 u #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 #s(literal -2 binary32) v))))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (+.f32 (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u (fma.f32 u #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 #s(literal -2 binary32) v))))))
Calls

1 calls:

11.0ms
v
Results
AccuracySegmentsBranch
88.5%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
-11.7MiB live, 26.6MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal -4/3 binary32) v) #s(literal -2 binary32))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 u #s(literal 4/3 binary32))) (neg.f32 v))) v))))
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#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (/.f32 (+.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) v)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32))) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal -2 binary32) v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) (+.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(approx (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v))) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v (*.f32 v v)))) #s(approx (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v))) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32))) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v))))))
Calls

1 calls:

11.0ms
v
Results
AccuracySegmentsBranch
88.5%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.3%)

Memory
-22.2MiB live, 58.1MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal -4/3 binary32) v) #s(literal -2 binary32))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) #s(approx (* (* u (* u u)) (- (/ 8/3 (* v (* v v))) (/ (+ (/ 2 (* v v)) (/ 4 (* v (* v v)))) u))) (*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) #s(approx (- (/ 8/3 (* v (* v v))) (/ (+ (/ 2 (* v v)) (/ 4 (* v (* v v)))) u)) (/.f32 (-.f32 #s(literal 8/3 binary32) (/.f32 #s(literal 4 binary32) u)) (*.f32 v (*.f32 v v)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (+.f32 (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 #s(literal -2 binary32) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 u #s(literal 4/3 binary32))) (neg.f32 v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) (*.f32 v (/.f32 (+.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) v)) u) v #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 v v)))) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 u #s(literal 4/3 binary32))) (neg.f32 v))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

15.0ms
v
11.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
9.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
88.2%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)))))))
88.2%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
88.1%2v
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes29.0ms (0.2%)

Memory
8.5MiB live, 47.1MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal -4/3 binary32) v) #s(literal -2 binary32))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)) (neg.f32 v))) (*.f32 v u) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) #s(approx (* (* u (* u u)) (- (/ 8/3 (* v (* v v))) (/ (+ (/ 2 (* v v)) (/ 4 (* v (* v v)))) u))) (*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 v v)) (/.f32 #s(literal -4 binary32) (*.f32 v (*.f32 v v)))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (*.f32 (*.f32 u (*.f32 u u)) #s(approx (- (/ 8/3 (* v (* v v))) (/ (+ (/ 2 (* v v)) (/ 4 (* v (* v v)))) u)) (/.f32 (-.f32 #s(literal 8/3 binary32) (/.f32 #s(literal 4 binary32) u)) (*.f32 v (*.f32 v v)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (+.f32 (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) v) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 #s(literal -2 binary32) v))))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

10.0ms
v
9.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
8.0ms
(+.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
88.0%2v
88.1%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)))))))
88.1%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes16.0ms (0.1%)

Memory
30.0MiB live, 30.0MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 u (+.f32 (/.f32 #s(literal -4/3 binary32) v) #s(literal -2 binary32))) v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+.f32 (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) u)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (fma.f32 u (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

2 calls:

8.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
7.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
88.1%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)))))))
88.1%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes18.0ms (0.1%)

Memory
-6.5MiB live, 31.9MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
Calls

3 calls:

7.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
5.0ms
v
5.0ms
(+.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
87.9%2v
87.9%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)))))))
87.9%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes32.0ms (0.2%)

Memory
-24.4MiB live, 23.2MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 #s(approx (+ (* u 2) -1) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (*.f32 u #s(literal -4/3 binary32)) v)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
Outputs
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

22.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
5.0ms
v
5.0ms
(+.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
87.8%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
87.8%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
87.7%2v
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

2 calls:

4.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
4.0ms
(+.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
87.8%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
87.8%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes11.0ms (0.1%)

Memory
-22.8MiB live, 15.0MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (/.f32 (*.f32 u #s(literal 4/3 binary32)) (*.f32 v v)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

2 calls:

4.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
4.0ms
(+.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
87.8%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
87.8%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes7.0ms (0.1%)

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

2 calls:

3.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
3.0ms
(+.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
87.8%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
87.8%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes8.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* u 2) -1) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

3.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
3.0ms
v
2.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
84.2%1v
84.2%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)))))))
84.2%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory
-26.7MiB live, 11.3MiB 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:

3.0ms
u
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
(+.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
5.7%1u
5.7%1v
5.7%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
5.7%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.29808351397514343
0.38679465651512146
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.29808351397514343
0.38679465651512146
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.29808351397514343
0.38679465651512146
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.29808351397514343
0.38679465651512146
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.29808351397514343
0.38679465651512146
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.2679274082183838
-0.614316463470459
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.2679274082183838
-0.614316463470459
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.2679274082183838
-0.614316463470459
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.29808351397514343
0.38679465651512146
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.2679274082183838
-0.614316463470459
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.2679274082183838
-0.614316463470459
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.2679274082183838
-0.614316463470459
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.2679274082183838
-0.614316463470459
Compiler

Compiled 20 to 18 computations (10% saved)

simplify107.0ms (0.8%)

Memory
20.1MiB live, 57.9MiB allocated
Algorithm
1×egg-herbie
Rules
650×distribute-lft-neg-in_binary32
502×unsub-neg_binary32
404×neg-mul-1_binary32
332×neg-sub0_binary32
258×cancel-sign-sub_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02671500
13421499
24011499
34551498
45291498
56021498
67321498
710721498
814411498
917111498
1019331498
1120881498
1221831498
1322521498
1423051498
1523281498
1623331498
1723341498
1823341498
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 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)))) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v)))) (-.f32 #s(literal 1 binary32) u) u)))))
(if (<=.f32 v #s(literal 5033165/16777216 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 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 16 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))))) v))))
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v))))))
(if (<=.f32 v #s(literal 5033165/16777216 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 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v))))
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (+.f32 (/.f32 (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (fma.f32 u (fma.f32 u #s(literal -8/3 binary32) #s(literal 4 binary32)) #s(literal -4/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 #s(literal -2 binary32) v)))))))
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ (+ u (exp (/ -2 v))) (* (exp (/ -2 v)) (neg u)))) #s(approx (+ (+ (* u (/ 2 v)) (+ (* 1/6 (/ (+ (* 2 (* (+ (* u 2) -2) (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* 6 (+ (* u 4/3) -4/3)) (* (+ (* -2 u) 2) (* (+ (* u 2) -2) -6)))) (* v (* v v)))) (/ (+ (* 1/2 (neg (* (+ (* u 2) -2) (+ (* u 2) -2)))) (+ (* -2 u) 2)) (* v v)))) (/ -2 v)) (fma.f32 u #s(approx (+ (+ (/ 2 v) (/ 4/3 (* v (* v v)))) (+ (* u (- (+ (* (/ u (* v (* v v))) 8/3) (/ -2 (* v v))) (/ 4 (* v (* v v))))) (/ 2 (* v v)))) (/.f32 (fma.f32 v (fma.f32 v #s(literal 2 binary32) (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 u (fma.f32 u #s(literal 8/3 binary32) #s(literal -4 binary32)) #s(literal 4/3 binary32))) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal -2 binary32) v)))))))
(if (<=.f32 (*.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)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) u (/.f32 (fma.f32 (/.f32 u v) #s(literal 2/3 binary32) (*.f32 u #s(literal 4/3 binary32))) (neg.f32 v))) v)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.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)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (*.f32 u (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v)))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.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)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (- (+ (* u 2) -1) (/ (+ (* -2 u) (/ (* u -4/3) v)) v)) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) #s(literal -1 binary32))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32)))
(if (<=.f32 (*.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 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.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)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 #s(approx (+ (* -2 u) (/ (* u -4/3) v)) (*.f32 u #s(literal -2 binary32))) v)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.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)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.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)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 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)))) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 v v)))))) (-.f32 #s(literal 1 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 2 v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v)))) (-.f32 #s(literal 1 binary32) u) u)))))
(if (<=.f32 v #s(literal 5033165/16777216 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 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 16 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))))) (/.f32 #s(literal 1/6 binary32) v) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))))) v))))
(if (<=.f32 v #s(literal 5033165/16777216 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v))))))
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#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))

soundness1.8s (13.8%)

Memory
26.8MiB live, 1 589.4MiB allocated
Rules
11 468×lower-fma.f64
11 468×lower-fma.f32
10 060×lower-fma.f64
10 060×lower-fma.f32
8 696×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03373014
19352793
230222668
083322386
087638
0144584
1649556
26444556
08049524
084916508
1255413659
0857412370
044292
072285
1290265
22328265
08118258
064610271
118598813
265138565
083187575
078710731
122979779
277619731
080068762
01253
02053
16953
246653
3488053
0871948
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×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 965 to 400 computations (58.5% saved)

preprocess182.0ms (1.4%)

Memory
-1.5MiB live, 273.5MiB allocated
Compiler

Compiled 1 270 to 342 computations (73.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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