HairBSDF, sample_f, cosTheta

Time bar (total: 12.5s)

analyze80.0ms (0.6%)

Memory
-16.2MiB live, 181.4MiB 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)

sample1.6s (12.9%)

Memory
-26.4MiB live, 2 208.7MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-add: 324.0ms (30.9% of total)
const: 214.0ms (20.4% of total)
ival-mult: 100.0ms (9.5% of total)
ival-<=: 93.0ms (8.9% of total)
ival-log: 92.0ms (8.8% of total)
ival-div: 79.0ms (7.5% of total)
ival-exp: 68.0ms (6.5% of total)
ival-sub: 43.0ms (4.1% of total)
ival-and: 22.0ms (2.1% of total)
exact: 11.0ms (1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess116.0ms (0.9%)

Memory
6.6MiB live, 79.7MiB 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))

explain166.0ms (1.3%)

Memory
18.9MiB live, 270.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
00-0-(-.f32 #s(literal 1 binary32) u)
00-0-#s(literal 1 binary32)
00-0-#s(literal -2 binary32)
07(0.00029715982964262366 0.007317237090319395)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))))
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))sensitivity71
log.f32(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))sensitivity10
Confusion
Predicted +Predicted -
+10
-7248
Precision
0.125
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-71247
Precision?
0.1111111111111111
Recall?
1.0
Freqs
test
numberfreq
0248
18
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms512×0valid
Compiler

Compiled 180 to 52 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 6.0ms (22.3% of total)
ival-log: 5.0ms (18.6% of total)
ival-div: 4.0ms (14.9% of total)
ival-add: 4.0ms (14.9% of total)
ival-exp: 4.0ms (14.9% of total)
ival-sub: 2.0ms (7.4% of total)
exact: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval5.0ms (0%)

Memory
-36.9MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(+.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)

simplify30.0ms (0.2%)

Memory
13.6MiB live, 50.2MiB 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)

localize38.0ms (0.3%)

Memory
14.1MiB live, 59.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.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)))))))
✓accuracy99.8%
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
✓accuracy99.8%
(exp.f32 (/.f32 #s(literal -2 binary32) v))
✓accuracy99.3%
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Samples
20.0ms256×0valid
Compiler

Compiled 73 to 14 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 3.0ms (23% of total)
ival-div: 2.0ms (15.3% of total)
ival-add: 2.0ms (15.3% of total)
ival-exp: 2.0ms (15.3% of total)
ival-log: 2.0ms (15.3% of total)
ival-sub: 1.0ms (7.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series69.0ms (0.6%)

Memory
-9.8MiB live, 99.8MiB 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
40.0ms
v
@0
(* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))
11.0ms
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)))))))

simplify365.0ms (2.9%)

Memory
34.4MiB live, 588.5MiB 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))

rewrite329.0ms (2.6%)

Memory
-51.5MiB live, 414.4MiB allocated
Algorithm
1×batch-egg-rewrite
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)))

eval45.0ms (0.4%)

Memory
24.3MiB live, 61.2MiB allocated
Compiler

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

prune270.0ms (2.2%)

Memory
-7.6MiB live, 106.5MiB allocated
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New33825363
Fresh000
Picked011
Done000
Total33826364
Accuracy
99.9%
Counts
364 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) (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)))))
96.5%
(/.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 6 binary32))) (*.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)) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (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 4 binary32))))))
96.8%
(+.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))
✓99.7%
(+.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)))))))
95.4%
(+.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))))))
9.7%
(+.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)))))
11.1%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 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)))))
▶12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
7.8%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
13.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))))
9.8%
(+.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))))
4.4%
(+.f32 #s(literal 1 binary32) #s(approx (* 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 -2 binary32))))
11.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
11.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
▶94.0%
(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)))
13.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
▶9.8%
#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)))
4.4%
#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)))
4.8%
#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)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
7.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
10.5%
#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)))
11.2%
#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)))
88.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
▶5.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 1 587 to 856 computations (46.1% saved)

simplify806.0ms (6.4%)

Memory
12.2MiB live, 556.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.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)))
✓cost-diff224
(*.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))
✓cost-diff320
(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))))
✓cost-diff6368
(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)))
✓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
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
✓cost-diff64
(+.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))))
✓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
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
✓cost-diff0
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
✓cost-diff0
(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))
✓cost-diff0
#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)))
Rules
23 478×lower-fma.f64
23 462×lower-fma.f32
3 638×lower-*.f64
3 630×lower-*.f32
2 390×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048437
083428
1143427
2265381
3689371
42181371
55232371
08193361
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#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)))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
v
(log.f32 (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)
#s(literal 1 binary32)
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) (*.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(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)))
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))
(/.f32 (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)
(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)
(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)
(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 (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))
(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))))
(/.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)
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
v
(log.f32 (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
#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)))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
v
(log.f32 (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)
#s(literal 1 binary32)
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) (*.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))))
(fma.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v)))
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) v))))
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 (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) v)))
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v)
(*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 u (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) v))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.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)
(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)))
(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)
(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)))
(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 (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))
(log1p.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))))
(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))))
(neg.f32 (log1p.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)))))
(/.f32 #s(literal 1 binary32) (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)
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
v
(log.f32 (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
#s(literal -1 binary32)

localize306.0ms (2.5%)

Memory
14.3MiB live, 285.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))
✓accuracy99.9%
(/.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)))
✓accuracy99.8%
(exp.f32 (/.f32 #s(literal -2 binary32) v))
✓accuracy25.9%
(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))))
✓accuracy100.0%
(*.f32 v u)
✓accuracy99.8%
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
✓accuracy99.7%
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32))
✓accuracy11.2%
#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)))
✓accuracy99.4%
(*.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)))
✓accuracy98.7%
(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)))
✓accuracy84.4%
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
✓accuracy7.6%
#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))
✓accuracy7.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
✓accuracy100.0%
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
✓accuracy99.9%
(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))
✓accuracy99.9%
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
✓accuracy99.8%
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Samples
133.0ms175×1valid
51.0ms69×0valid
4.0ms12×0invalid
Compiler

Compiled 377 to 49 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-mult: 52.0ms (38.8% of total)
ival-div: 21.0ms (15.7% of total)
ival-log: 19.0ms (14.2% of total)
adjust: 15.0ms (11.2% of total)
ival-add: 14.0ms (10.4% of total)
ival-exp: 5.0ms (3.7% of total)
ival-expm1: 4.0ms (3% of total)
ival-sub: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series167.0ms (1.3%)

Memory
-2.4MiB live, 153.5MiB allocated
Counts
22 → 468
Calls
Call 1
Inputs
#s(alt #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))) (patch #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))) #<representation binary32>) () ())
#s(alt (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)) (patch (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)) #<representation binary32>) () ())
#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())
#s(alt (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) (patch (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ 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 #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)))) (patch (+.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)))) #<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 #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 (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))) (patch (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))) #<representation binary32>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())
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#s(alt (*.f32 v u) (patch (*.f32 v u) #<representation binary32>) () ())
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Outputs
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#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 #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))) (patch #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))) #<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 #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))) (patch #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))) #<representation binary32>) () ())) ())
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#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 #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))) (patch #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))) #<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 #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))) (patch #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))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))) (taylor inf u) (#s(alt #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))) (patch #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))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))) (taylor inf u) (#s(alt #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))) (patch #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))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))) (taylor inf u) (#s(alt #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))) (patch #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))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))) (taylor inf u) (#s(alt #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))) (patch #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))) #<representation binary32>) () ())) ())
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#s(alt (+ (log (+ 1 (* 2 u))) (+ (* -2 (/ (+ 1 u) (* v (+ 1 (* 2 u))))) (+ (* 1/6 (/ (+ (* -16 (/ (pow (+ 1 u) 3) (pow (+ 1 (* 2 u)) 3))) (+ (* -8 (/ (+ 1 u) (+ 1 (* 2 u)))) (* 24 (/ (pow (+ 1 u) 2) (pow (+ 1 (* 2 u)) 2))))) (pow v 3))) (* 1/2 (/ (+ (* -4 (/ (pow (+ 1 u) 2) (pow (+ 1 (* 2 u)) 2))) (* 4 (/ (+ 1 u) (+ 1 (* 2 u))))) (pow v 2)))))) (taylor inf v) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (log (+ 1 (* 2 u))) (taylor -inf v) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (* 2 u))) (* -2 (/ (+ 1 u) (* v (+ 1 (* 2 u)))))) (taylor -inf v) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (* 2 u))) (* -1 (/ (+ (* -1/2 (/ (+ (* -4 (/ (pow (+ 1 u) 2) (pow (+ 1 (* 2 u)) 2))) (* 4 (/ (+ 1 u) (+ 1 (* 2 u))))) v)) (* 2 (/ (+ 1 u) (+ 1 (* 2 u))))) v))) (taylor -inf v) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (* 2 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (/ (pow (+ 1 u) 2) (pow (+ 1 (* 2 u)) 2))) (+ (* 8 (/ (+ 1 u) (+ 1 (* 2 u)))) (* 16 (/ (pow (+ 1 u) 3) (pow (+ 1 (* 2 u)) 3))))) v)) (* 1/2 (+ (* -4 (/ (pow (+ 1 u) 2) (pow (+ 1 (* 2 u)) 2))) (* 4 (/ (+ 1 u) (+ 1 (* 2 u))))))) v)) (* 2 (/ (+ 1 u) (+ 1 (* 2 u))))) v))) (taylor -inf v) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (/ -2 v) (taylor 0 u) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (- (* u (+ 1 (/ 1 (exp (/ -2 v))))) (* 2 (/ 1 v))) (taylor 0 u) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (- (* u (+ 1 (+ (* -1/2 (/ (* u (pow (+ 1 (exp (/ -2 v))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))))) (* 2 (/ 1 v))) (taylor 0 u) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (- (* u (+ 1 (+ (* u (+ (* -1/2 (/ (pow (+ 1 (exp (/ -2 v))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (exp (/ -2 v))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))))) (* 2 (/ 1 v))) (taylor 0 u) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (exp (/ -2 v)))) (* -1 (log (/ 1 u)))) (taylor inf u) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (exp (/ -2 v)))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (exp (/ -2 v))))))) (taylor inf u) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (exp (/ -2 v)))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (exp (/ -2 v))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (exp (/ -2 v)))))))) (taylor inf u) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (exp (/ -2 v)))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (exp (/ -2 v))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (exp (/ -2 v))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (exp (/ -2 v))))))))) (taylor inf u) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (* -1 (exp (/ -2 v))) 1)) (* -1 (log (/ -1 u)))) (taylor -inf u) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (* -1 (exp (/ -2 v))) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (* -1 (exp (/ -2 v))) 1)))))) (taylor -inf u) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (* -1 (exp (/ -2 v))) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2)))) (/ (exp (/ -2 v)) (- (* -1 (exp (/ -2 v))) 1))) u)))) (taylor -inf u) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (* -1 (exp (/ -2 v))) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (* -1 (exp (/ -2 v))) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (* -1 (exp (/ -2 v))) 1))) u)))) (taylor -inf u) (#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())) ())
Calls

117 calls:

TimeVariablePointExpression
20.0ms
u
@inf
(exp (* (log (/ 1 (+ (* v (log (+ (* (exp (/ -2 v)) (+ 1 u)) u))) 1))) -1))
13.0ms
v
@0
(log (+ (* (exp (/ -2 v)) (+ 1 u)) u))
4.0ms
v
@0
(exp (* (log (/ 1 (+ (* v (log (+ (* (exp (/ -2 v)) (+ 1 u)) u))) 1))) -1))
4.0ms
u
@-inf
(log (/ 1 (+ (* v (log (+ (* (exp (/ -2 v)) (+ 1 u)) u))) 1)))
3.0ms
u
@inf
(log (/ 1 (+ (* v (log (+ (* (exp (/ -2 v)) (+ 1 u)) u))) 1)))

simplify724.0ms (5.8%)

Memory
23.1MiB live, 793.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 880×lower-*.f64
7 880×lower-*.f32
7 274×lower-fma.f64
7 274×lower-fma.f32
5 522×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120220995
1389220265
0905518025
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
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))))))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(* -2 (/ (- 1 u) v))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(* -2 (/ (- 1 u) v))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (+ 1 (* -1 (exp (/ -2 v)))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
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(+ (* -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))) (log.f32 (/.f32 #s(literal -1 binary32) 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))) (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 #s(literal 1/2 binary32) (*.f32 v (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))))) (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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v (pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)))) (*.f32 u (pow.f32 (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)
(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))
(log (+ 1 (* 2 u)))
(log1p.f32 (*.f32 u #s(literal 2 binary32)))
(+ (log (+ 1 (* 2 u))) (* -2 (/ (+ 1 u) (* v (+ 1 (* 2 u))))))
(+.f32 (log1p.f32 (*.f32 u #s(literal 2 binary32))) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal -2 binary32)) (fma.f32 v (*.f32 u #s(literal 2 binary32)) v)))
(+ (log (+ 1 (* 2 u))) (+ (* -2 (/ (+ 1 u) (* v (+ 1 (* 2 u))))) (* 1/2 (/ (+ (* -4 (/ (pow (+ 1 u) 2) (pow (+ 1 (* 2 u)) 2))) (* 4 (/ (+ 1 u) (+ 1 (* 2 u))))) (pow v 2)))))
(+.f32 (log1p.f32 (*.f32 u #s(literal 2 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (*.f32 (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 4 binary32) #s(literal 4 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)))) (*.f32 v v)) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal -2 binary32)) (fma.f32 v (*.f32 u #s(literal 2 binary32)) v))))
(+ (log (+ 1 (* 2 u))) (+ (* -2 (/ (+ 1 u) (* v (+ 1 (* 2 u))))) (+ (* 1/6 (/ (+ (* -16 (/ (pow (+ 1 u) 3) (pow (+ 1 (* 2 u)) 3))) (+ (* -8 (/ (+ 1 u) (+ 1 (* 2 u)))) (* 24 (/ (pow (+ 1 u) 2) (pow (+ 1 (* 2 u)) 2))))) (pow v 3))) (* 1/2 (/ (+ (* -4 (/ (pow (+ 1 u) 2) (pow (+ 1 (* 2 u)) 2))) (* 4 (/ (+ 1 u) (+ 1 (* 2 u))))) (pow v 2))))))
(+.f32 (+.f32 (log1p.f32 (*.f32 u #s(literal 2 binary32))) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal -2 binary32)) (fma.f32 v (*.f32 u #s(literal 2 binary32)) v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (*.f32 (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 4 binary32) #s(literal 4 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)))) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -16 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32))))) (fma.f32 #s(literal 24 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (*.f32 (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 -8 binary32) #s(literal -8 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)))))) (*.f32 v (*.f32 v v)))))
(log (+ 1 (* 2 u)))
(log1p.f32 (*.f32 u #s(literal 2 binary32)))
(+ (log (+ 1 (* 2 u))) (* -2 (/ (+ 1 u) (* v (+ 1 (* 2 u))))))
(+.f32 (log1p.f32 (*.f32 u #s(literal 2 binary32))) (/.f32 (fma.f32 u #s(literal -2 binary32) #s(literal -2 binary32)) (fma.f32 v (*.f32 u #s(literal 2 binary32)) v)))
(+ (log (+ 1 (* 2 u))) (* -1 (/ (+ (* -1/2 (/ (+ (* -4 (/ (pow (+ 1 u) 2) (pow (+ 1 (* 2 u)) 2))) (* 4 (/ (+ 1 u) (+ 1 (* 2 u))))) v)) (* 2 (/ (+ 1 u) (+ 1 (* 2 u))))) v)))
(-.f32 (log1p.f32 (*.f32 u #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (*.f32 (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 4 binary32) #s(literal 4 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)))) v) (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)))) v))
(+ (log (+ 1 (* 2 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (/ (pow (+ 1 u) 2) (pow (+ 1 (* 2 u)) 2))) (+ (* 8 (/ (+ 1 u) (+ 1 (* 2 u)))) (* 16 (/ (pow (+ 1 u) 3) (pow (+ 1 (* 2 u)) 3))))) v)) (* 1/2 (+ (* -4 (/ (pow (+ 1 u) 2) (pow (+ 1 (* 2 u)) 2))) (* 4 (/ (+ 1 u) (+ 1 (* 2 u))))))) v)) (* 2 (/ (+ 1 u) (+ 1 (* 2 u))))) v)))
(-.f32 (log1p.f32 (*.f32 u #s(literal 2 binary32))) (/.f32 (-.f32 (/.f32 (fma.f32 u #s(literal 2 binary32) #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 #s(literal -24 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)))) (fma.f32 #s(literal 16 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (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 8 binary32) #s(literal 8 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32))))) v) (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (*.f32 (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 4 binary32) #s(literal 4 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal 1 binary32)))))) v)) v))
(/ -2 v)
(/.f32 #s(literal -2 binary32) v)
(- (* u (+ 1 (/ 1 (exp (/ -2 v))))) (* 2 (/ 1 v)))
(+.f32 (fma.f32 u (exp.f32 (/.f32 #s(literal 2 binary32) v)) u) (/.f32 #s(literal -2 binary32) v))
(- (* u (+ 1 (+ (* -1/2 (/ (* u (pow (+ 1 (exp (/ -2 v))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))))) (* 2 (/ 1 v)))
(+.f32 (fma.f32 u (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u (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)))) (exp.f32 (/.f32 #s(literal 2 binary32) v))) u) (/.f32 #s(literal -2 binary32) v))
(- (* u (+ 1 (+ (* u (+ (* -1/2 (/ (pow (+ 1 (exp (/ -2 v))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (+ 1 (exp (/ -2 v))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))))) (* 2 (/ 1 v)))
(+.f32 (fma.f32 u (fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 u (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (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))))) (exp.f32 (/.f32 #s(literal 2 binary32) v))) u) (/.f32 #s(literal -2 binary32) v))
(+ (log (+ 1 (exp (/ -2 v)))) (* -1 (log (/ 1 u))))
(+.f32 (log.f32 u) (log1p.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(+ (log (+ 1 (exp (/ -2 v)))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (exp (/ -2 v)))))))
(+.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 (log.f32 u) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))
(+ (log (+ 1 (exp (/ -2 v)))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (exp (/ -2 v))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (exp (/ -2 v))))))))
(+.f32 (+.f32 (log.f32 u) (log1p.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (*.f32 u u) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))))
(+ (log (+ 1 (exp (/ -2 v)))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (exp (/ -2 v))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (exp (/ -2 v))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (exp (/ -2 v)))))))))
(+.f32 (+.f32 (log.f32 u) (log1p.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (*.f32 u u) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) (*.f32 (*.f32 u (*.f32 u u)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))))
(+ (log (- (* -1 (exp (/ -2 v))) 1)) (* -1 (log (/ -1 u))))
(-.f32 (log.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) u)))
(+ (log (- (* -1 (exp (/ -2 v))) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (* -1 (exp (/ -2 v))) 1))))))
(-.f32 (-.f32 (log.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (neg.f32 u))))
(+ (log (- (* -1 (exp (/ -2 v))) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 2)))) (/ (exp (/ -2 v)) (- (* -1 (exp (/ -2 v))) 1))) u))))
(-.f32 (-.f32 (log.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 u (pow.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal -1 binary32)) #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal -1 binary32)))) u))
(+ (log (- (* -1 (exp (/ -2 v))) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (* -1 (exp (/ -2 v))) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (* -1 (exp (/ -2 v))) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (* -1 (exp (/ -2 v))) 1))) u))))
(-.f32 (-.f32 (log.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal -1 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (pow.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/3 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32))) (*.f32 u (pow.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal -1 binary32)) #s(literal 3 binary32))))) u)) u))

rewrite459.0ms (3.7%)

Memory
-33.0MiB live, 711.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 150×lower-/.f64
4 140×lower-/.f32
3 942×lower-*.f64
3 934×lower-*.f32
3 128×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048344
083331
1332326
22438324
08112317
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 710
Calls
Call 1
Inputs
#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)))
(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))
(log.f32 (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)
#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 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (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)
(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)))
(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))))
(*.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) (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)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v)))
(*.f32 v u)
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))
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)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
(+.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32))
(pow.f32 (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(fma.f32 v (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (*.f32 v #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) v) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) v #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))) (/.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (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 (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 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) (fma.f32 v (log.f32 (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 (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 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (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)))) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(literal 2 binary32)))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (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))))
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(*.f32 (*.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) u #s(literal -2 binary32))) v))) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) 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) u #s(literal -2 binary32))) v)))
(*.f32 (*.f32 #s(literal 1 binary32) #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) u #s(literal -2 binary32))) v))) v)
(*.f32 v u)
(*.f32 u v)
(neg.f32 (log.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) (/.f32 #s(literal -2 binary32) v))) (*.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))))))
(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) (/.f32 #s(literal -2 binary32) v))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (neg.f32 (*.f32 u u))))))
(+.f32 (log.f32 (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)))) (log.f32 (/.f32 #s(literal 1 binary32) (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) (/.f32 #s(literal -2 binary32) v))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)))))))
(+.f32 (log.f32 (fma.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (neg.f32 (*.f32 u u)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) (neg.f32 u)))))
(-.f32 #s(literal 0 binary32) (log.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) (/.f32 #s(literal -2 binary32) v))) (*.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))))))
(-.f32 #s(literal 0 binary32) (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) (/.f32 #s(literal -2 binary32) v))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (neg.f32 (*.f32 u u))))))
(-.f32 (log.f32 (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)))) (log.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) (/.f32 #s(literal -2 binary32) v))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u))))))
(-.f32 (log.f32 (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)))) (log.f32 (fma.f32 u u (-.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u))) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (+.f32 #s(literal 1 binary32) u) u))))))
(-.f32 (log.f32 (fma.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (neg.f32 (*.f32 u u)))) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) (neg.f32 u))))
(-.f32 (log.f32 (neg.f32 (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))))) (log.f32 (neg.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) (/.f32 #s(literal -2 binary32) v))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)))))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (neg.f32 (*.f32 u u))))) (log.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) (neg.f32 u)))))
(-.f32 (log.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))))) (log.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)))))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))

eval171.0ms (1.4%)

Memory
9.9MiB live, 313.3MiB allocated
Compiler

Compiled 52 778 to 4 649 computations (91.2% saved)

prune282.0ms (2.3%)

Memory
9.6MiB live, 452.8MiB allocated
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New1 179211 200
Fresh91120
Picked145
Done101
Total1 190361 226
Accuracy
100.0%
Counts
1 226 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) (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)))))
96.5%
(/.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 6 binary32))) (*.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)) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (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 4 binary32))))))
▶96.8%
(+.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))
95.4%
(+.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))))))
9.7%
(+.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)))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (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) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
12.3%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 (*.f32 u u) (neg.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v))))) v))))
5.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v))) v))))
11.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
✓94.0%
(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)))
13.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
✓9.8%
#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)))
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 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
7.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
99.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (neg.f32 (log.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) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) 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)))
▶99.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
99.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) #s(literal 1 binary32)))
95.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #s(literal 1 binary32)))
9.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)))) v) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)))
4.4%
#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)))
7.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
10.5%
#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)))
▶11.2%
#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)))
7.8%
#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) #s(literal -1 binary32))))
13.1%
#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))))
▶11.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))))
10.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))))
10.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) (neg.f32 v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))))
11.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 #s(literal -4/3 binary32) u) v)) (neg.f32 v)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))))
▶88.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32)))
✓5.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 1 867 to 986 computations (47.2% saved)

simplify405.0ms (3.2%)

Memory
-25.1MiB live, 568.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)
✓cost-diff0
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))
✓cost-diff0
(*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)))
✓cost-diff64
(+.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))
✓cost-diff96
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
✓cost-diff128
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
✓cost-diff160
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v)))
✓cost-diff192
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32)))
✓cost-diff0
(/.f32 u (*.f32 v v))
✓cost-diff0
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
✓cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))))
✓cost-diff160
(fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))
✓cost-diff0
#s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32))
✓cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32)))
✓cost-diff0
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
✓cost-diff0
(fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
✓cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
✓cost-diff64
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
Rules
15 484×lower-fma.f64
15 464×lower-fma.f32
3 338×lower-*.f64
3 326×lower-*.f32
2 856×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070588
0111584
1198584
2429538
31292534
45415534
08262485
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
(fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
v
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32)))
#s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 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 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
(fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))
#s(literal 4/3 binary32)
(/.f32 u (*.f32 v v))
u
(*.f32 v v)
v
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))
#s(literal 2 binary32)
(+.f32 u (/.f32 u v))
(/.f32 u 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)))
(-.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))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) u)
#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 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
#s(literal -1/2 binary32)
(*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))
#s(literal 16 binary32)
#s(literal -24 binary32)
(fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))
#s(literal 8 binary32)
(neg.f32 u)
(/.f32 #s(literal 1/6 binary32) v)
#s(literal 1/6 binary32)
v
(+.f32 (*.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 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 (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)
#s(literal 1 binary32)
u
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
v
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
#s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
(fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))
(fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
#s(literal 4/3 binary32)
(/.f32 u (*.f32 v v))
u
(*.f32 v v)
v
(fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))
(fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
#s(literal 2 binary32)
(+.f32 u (/.f32 u v))
(/.f32 u 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)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 #s(literal -1 binary32) (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 u #s(literal -1 binary32)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32)) v)) (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) 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) (fma.f32 u #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 u #s(literal -1 binary32)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32)) v)) (*.f32 u (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)))) v)))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) u)
#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 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)
(/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32)) (*.f32 u (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) v)
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v)))
(fma.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32)) (*.f32 u (fma.f32 u #s(literal 2 binary32) #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)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
(*.f32 u #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
#s(literal -1/2 binary32)
(*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))
(*.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)) v) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32)) #s(literal 8 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))
(fma.f32 u #s(literal -16 binary32) #s(literal -8 binary32))
#s(literal 16 binary32)
#s(literal -24 binary32)
(fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))
(fma.f32 u #s(literal -8 binary32) #s(literal 8 binary32))
#s(literal 8 binary32)
(neg.f32 u)
(/.f32 #s(literal 1/6 binary32) v)
#s(literal 1/6 binary32)
v
(+.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32))
(*.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 (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)
#s(literal 1 binary32)
u

localize252.0ms (2%)

Memory
17.5MiB live, 368.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.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))
✓accuracy99.8%
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))
✓accuracy99.8%
(exp.f32 (/.f32 #s(literal -2 binary32) v))
✓accuracy99.2%
(*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)))
✓accuracy98.4%
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
✓accuracy83.1%
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
✓accuracy78.5%
(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)))
✓accuracy11.2%
#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)))
✓accuracy99.4%
(fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))
✓accuracy99.4%
(/.f32 u (*.f32 v v))
✓accuracy56.6%
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
✓accuracy9.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))))
✓accuracy100.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32)))
✓accuracy88.5%
#s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32))
✓accuracy99.9%
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
✓accuracy99.8%
(fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
✓accuracy99.8%
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
✓accuracy99.8%
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Samples
167.0ms256×0valid
Compiler

Compiled 502 to 67 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-log: 51.0ms (34.9% of total)
ival-mult: 27.0ms (18.5% of total)
ival-sub: 24.0ms (16.4% of total)
ival-add: 18.0ms (12.3% of total)
ival-div: 13.0ms (8.9% of total)
const: 7.0ms (4.8% of total)
ival-exp: 2.0ms (1.4% of total)
ival-expm1: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series72.0ms (0.6%)

Memory
-9.1MiB live, 121.0MiB allocated
Counts
21 → 456
Calls
Call 1
Inputs
#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)) (patch (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) (patch (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))) (patch (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))) (patch #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 u (*.f32 v v)) (patch (/.f32 u (*.f32 v v)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (patch (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) (patch (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32)) (patch (+.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)) #<representation binary32>) () ())
#s(alt (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) (patch (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #<representation binary32>) () ())
#s(alt (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) (patch (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #<representation binary32>) () ())
#s(alt (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u) (patch (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 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (patch (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #<representation binary32>) () ())
#s(alt #s(approx (+ 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))) (patch #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))) #<representation binary32>) () ())
Outputs
#s(alt (+ u (* (exp (/ -2 v)) (- 1 u))) (taylor 0 v) (#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ u (* (exp (/ -2 v)) (- 1 u))) (taylor 0 v) (#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ u (* (exp (/ -2 v)) (- 1 u))) (taylor 0 v) (#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ u (* (exp (/ -2 v)) (- 1 u))) (taylor 0 v) (#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt 1 (taylor inf v) (#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -2 (/ (- 1 u) v))) (taylor inf v) (#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) (taylor inf v) (#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) (taylor inf v) (#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt 1 (taylor -inf v) (#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -2 (/ (- 1 u) v))) (taylor -inf v) (#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v))) (taylor -inf v) (#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
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Calls

114 calls:

TimeVariablePointExpression
21.0ms
v
@-inf
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v)))
7.0ms
v
@0
(* v (log (+ (* (exp (/ -2 v)) (+ 1 u)) u)))
1.0ms
v
@0
(+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v)))
1.0ms
u
@0
(+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1))
1.0ms
u
@inf
(+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1))

simplify389.0ms (3.1%)

Memory
-3.8MiB live, 668.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 562×lower-fma.f64
8 562×lower-fma.f32
5 710×lower-*.f64
5 710×lower-*.f32
4 822×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080011498
1239210814
2784810742
080929677
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(+ u (* (exp (/ -2 v)) (- 1 u)))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(+ u (* (exp (/ -2 v)) (- 1 u)))
1
(+ 1 (* -2 (/ (- 1 u) v)))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
1
(+ 1 (* -2 (/ (- 1 u) v)))
(+ 1 (* -1 (/ (+ (* -2 (/ (- 1 u) v)) (* 2 (- 1 u))) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 u) v)) (* 2 (- 1 u))) v)) (* 2 (- 1 u))) v)))
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(* -1 (* u (- (exp (/ -2 v)) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* -2 (- 1 u)))
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(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
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(+ 1 (* -2 (- 1 u)))
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-1
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(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
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(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
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1
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(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
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(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
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-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
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(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
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(* -2 (/ (- 1 u) v))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
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(/ -2 v)
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Outputs
(+ u (* (exp (/ -2 v)) (- 1 u)))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(+ u (* (exp (/ -2 v)) (- 1 u)))
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1
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(+.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 (-.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))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 24 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 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.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))))))
(+ 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 (/ (+ (* -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 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.f32 #s(literal 1/6 binary32) v) (*.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 (/ (+ (* -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 #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))) (/.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) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) #s(literal -1/6 binary32))) (neg.f32 v))) v))
-1
#s(literal -1 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(fma.f32 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 u (fma.f32 u (*.f32 (*.f32 v (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))))) (*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -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 u (*.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))))) #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 u (*.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))))) #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 (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)))))))
(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)))
(+ 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)))))))
(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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 v (/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 v u)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) (neg.f32 u))) u)))

rewrite368.0ms (2.9%)

Memory
36.5MiB live, 535.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 198×lower-*.f64
4 186×lower-*.f32
4 044×lower-/.f64
4 034×lower-/.f32
4 018×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070388
0111378
1460378
23892378
09427358
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 410
Calls
Call 1
Inputs
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
(fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32)))
#s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32))
(fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32))))
(/.f32 u (*.f32 v v))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #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 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))
(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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.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
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(pow.f32 (/.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (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 (*.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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.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 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(fma.f32 #s(literal 1 binary32) u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u #s(literal 1 binary32) (*.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)
(-.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u))) (/.f32 (*.f32 u u) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u))))
(-.f32 (/.f32 (*.f32 u u) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))
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(/.f32 (-.f32 (*.f32 u u) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 u (*.f32 u u) (*.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))))))) (neg.f32 (neg.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) u)))) (neg.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) (neg.f32 u)))))
(/.f32 (neg.f32 (-.f32 (*.f32 u u) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))))) (neg.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)))))
(*.f32 (fma.f32 u (*.f32 u u) (*.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 #s(literal 1 binary32) (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))))))
(*.f32 (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (neg.f32 u) u)) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) (neg.f32 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)))
(*.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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(+.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32) (*.f32 (neg.f32 u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.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) (*.f32 u (*.f32 u u)))) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))) (neg.f32 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 #s(literal 1 binary32) u)))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (neg.f32 (+.f32 #s(literal 1 binary32) u)))
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (/.f32 (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)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (*.f32 v #s(literal 6 binary32)))) v))))

eval126.0ms (1%)

Memory
3.4MiB live, 197.5MiB allocated
Compiler

Compiled 34 443 to 2 499 computations (92.7% saved)

prune218.0ms (1.7%)

Memory
32.8MiB live, 382.9MiB allocated
Pruning

43 alts after pruning (35 fresh and 8 done)

PrunedKeptTotal
New86919888
Fresh111627
Picked145
Done044
Total88143924
Accuracy
100.0%
Counts
924 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) (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)))))
96.5%
(/.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 6 binary32))) (*.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)) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (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 4 binary32))))))
✓96.8%
(+.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))
95.5%
(+.f32 (*.f32 v (log.f32 #s(approx (+ (* (exp (/ -2 v)) (+ 1 u)) u) (fma.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32))
9.7%
(+.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)))))
▶12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (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) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 (*.f32 u u) (neg.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v))))) v))))
5.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v))) v))))
11.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
✓94.0%
(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)))
▶13.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
✓9.8%
#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)))
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 #s(literal 2 binary32) v)) v)) (*.f32 v u) #s(literal -1 binary32)))
7.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
99.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (neg.f32 (log.f32 (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))))))) #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)))
▶99.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
✓99.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
96.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) #s(literal 1 binary32)))
9.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.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))))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)))
10.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.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))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 24 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 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.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))))) v)) #s(literal 1 binary32)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (/.f32 (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)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (*.f32 v #s(literal 6 binary32)))) v))))
7.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
10.5%
#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)))
10.5%
#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 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v))))) v)))
11.2%
#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 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 (/.f32 u v) #s(literal -8/3 binary32) (/.f32 #s(literal 4 binary32) v))) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))
11.3%
#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 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))
11.2%
#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 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4 binary32) v) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) u))) u))))) v)))
10.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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 (-.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))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 24 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 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.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)))))))
11.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))))
13.1%
#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))))
▶7.8%
#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) #s(literal -1 binary32))))
✓11.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))))
▶10.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))))
10.8%
#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 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) (neg.f32 v)))))
11.3%
#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 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) (neg.f32 v)))))
11.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))))) (*.f32 v v)))))
11.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) u))))))))
✓88.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32)))
✓5.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 2 448 to 1 274 computations (48% saved)

simplify336.0ms (2.7%)

Memory
-2.9MiB live, 580.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))
✓cost-diff64
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32))
✓cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
✓cost-diff192
(fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
✓cost-diff0
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))))
✓cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))))
✓cost-diff64
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))
✓cost-diff256
(fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))
✓cost-diff64
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
✓cost-diff96
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
✓cost-diff96
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
✓cost-diff128
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
✓cost-diff0
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
✓cost-diff0
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
✓cost-diff0
#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) #s(literal -1 binary32))))
✓cost-diff0
(log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u))
✓cost-diff0
(fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
✓cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
✓cost-diff64
(+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)
Rules
11 698×lower-fma.f64
11 676×lower-fma.f32
3 488×lower-*.f64
3 464×lower-*.f32
3 362×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075937
0126905
1251901
2610889
32097889
43697889
57981889
08836825
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
(fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
v
(log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u))
(+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(-.f32 #s(literal 1 binary32) (*.f32 u u))
#s(literal 1 binary32)
(*.f32 u 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)
#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) #s(literal -1 binary32))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (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))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))
#s(literal 2/3 binary32)
(/.f32 u (*.f32 v (*.f32 v v)))
u
(*.f32 v (*.f32 v v))
v
(*.f32 v v)
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
#s(literal 2 binary32)
(/.f32 #s(literal 2 binary32) v)
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
#s(literal 4/3 binary32)
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v)))
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))
(/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v)
(fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)))
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))
(*.f32 u (*.f32 u u))
u
(*.f32 u u)
#s(literal 4 binary32)
(+.f32 #s(literal 1 binary32) u)
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))
(+.f32 #s(literal 1 binary32) (fma.f32 u u u))
(fma.f32 u u u)
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 u u))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal -4 binary32)
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))
#s(literal -2 binary32)
(neg.f32 u)
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
(fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
(fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
v
(log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)) u))
(+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (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 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)) u)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(-.f32 #s(literal 1 binary32) (*.f32 u u))
(fma.f32 u (neg.f32 u) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 u 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)
#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) #s(literal -1 binary32))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (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))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 u #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
(*.f32 u (fma.f32 u #s(literal -4 binary32) #s(literal 4 binary32)))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
(*.f32 u #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))
(fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))
(fma.f32 (/.f32 u (*.f32 v v)) (+.f32 #s(literal 4/3 binary32) (/.f32 #s(literal 2/3 binary32) v)) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(literal 2/3 binary32)
(/.f32 u (*.f32 v (*.f32 v v)))
u
(*.f32 v (*.f32 v v))
v
(*.f32 v v)
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))
(fma.f32 (/.f32 u v) (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))
#s(literal 2 binary32)
(/.f32 #s(literal 2 binary32) v)
(/.f32 #s(literal 4/3 binary32) (*.f32 v v))
#s(literal 4/3 binary32)
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(fma.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 v (+.f32 #s(literal 1 binary32) u)))) (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (fma.f32 u u u) #s(literal -4 binary32))) (*.f32 (neg.f32 (fma.f32 u (*.f32 u u) #s(literal -1 binary32))) (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32)))) (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 (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v)))
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 v (+.f32 #s(literal 1 binary32) u)))) (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (fma.f32 u u u) #s(literal -4 binary32))) (*.f32 (neg.f32 (fma.f32 u (*.f32 u u) #s(literal -1 binary32))) (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32)))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) v)))
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 v (+.f32 #s(literal 1 binary32) u)))) (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (fma.f32 u u u) #s(literal -4 binary32))) (*.f32 (neg.f32 (fma.f32 u (*.f32 u u) #s(literal -1 binary32))) (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32)))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) v))
(/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v)
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 v (+.f32 #s(literal 1 binary32) u)))) (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (fma.f32 u u u) #s(literal -4 binary32))) (*.f32 (neg.f32 (fma.f32 u (*.f32 u u) #s(literal -1 binary32))) (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32)))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) v)
(fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.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 1/2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 v (+.f32 #s(literal 1 binary32) u)))) (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (fma.f32 u u u) #s(literal -4 binary32))) (*.f32 (neg.f32 (fma.f32 u (*.f32 u u) #s(literal -1 binary32))) (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32)))) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u)))
(/.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (fma.f32 u u u) #s(literal -4 binary32))) (*.f32 (neg.f32 (fma.f32 u (*.f32 u u) #s(literal -1 binary32))) (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (fma.f32 u u u) #s(literal -4 binary32))) (*.f32 (neg.f32 (fma.f32 u (*.f32 u u) #s(literal -1 binary32))) (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32))
(fma.f32 (*.f32 u u) (*.f32 u #s(literal -4 binary32)) #s(literal 4 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))
(neg.f32 (fma.f32 u (*.f32 u u) #s(literal -1 binary32)))
(*.f32 u (*.f32 u u))
u
(*.f32 u u)
#s(literal 4 binary32)
(+.f32 #s(literal 1 binary32) u)
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))
(neg.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (fma.f32 u u u) #s(literal -4 binary32)))))
(+.f32 #s(literal 1 binary32) (fma.f32 u u u))
(fma.f32 u u u)
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))
(*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal -4 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 u u))
(fma.f32 u (neg.f32 u) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))
(fma.f32 u #s(literal 4 binary32) #s(literal -4 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal -4 binary32)
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))
(*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(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)

localize338.0ms (2.7%)

Memory
10.5MiB live, 401.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy98.6%
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))
✓accuracy98.4%
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u)))
✓accuracy80.9%
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))))
✓accuracy5.9%
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))
✓accuracy99.4%
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))
✓accuracy99.1%
(fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))
✓accuracy73.2%
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))))
✓accuracy9.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))))
✓accuracy98.7%
(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)))
✓accuracy98.4%
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
✓accuracy83.1%
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
✓accuracy13.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
✓accuracy100.0%
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
✓accuracy9.8%
#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) #s(literal -1 binary32))))
✓accuracy4.5%
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
✓accuracy99.9%
(-.f32 #s(literal 1 binary32) (*.f32 u u))
✓accuracy99.8%
(fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
✓accuracy99.8%
(log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u))
✓accuracy99.8%
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Samples
202.0ms256×0valid
Compiler

Compiled 682 to 72 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-mult: 98.0ms (60.5% of total)
ival-div: 22.0ms (13.6% of total)
ival-add: 20.0ms (12.4% of total)
const: 6.0ms (3.7% of total)
ival-log: 5.0ms (3.1% of total)
ival-sub: 4.0ms (2.5% of total)
ival-exp: 2.0ms (1.2% of total)
ival-expm1: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (0.7%)

Memory
2.3MiB live, 157.0MiB allocated
Counts
26 → 492
Calls
Call 1
Inputs
#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (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 (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)) (patch (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) (patch (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))) (patch #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) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))) (patch #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (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 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (patch (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (patch (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))) (patch (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) (patch (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))) (patch #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) (patch (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.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 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v)))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v)))) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (patch (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) (patch (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 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 #s(literal 1 binary32) (*.f32 u u)) (patch (-.f32 #s(literal 1 binary32) (*.f32 u u)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v)) (patch #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (patch (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (patch (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (patch (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) #<representation binary32>) () ())
Outputs
#s(alt (exp (/ -2 v)) (taylor 0 u) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v))))) (taylor 0 u) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v))))) (taylor 0 u) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v))))) (taylor 0 u) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (* u (+ 1 (* -1 (exp (/ -2 v))))) (taylor inf u) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) (taylor inf u) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) (taylor inf u) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u)))) (taylor inf u) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u (- (exp (/ -2 v)) 1))) (taylor -inf u) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) (taylor -inf u) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) (taylor -inf u) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1))) (taylor -inf u) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))) (taylor 0 v) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))) (taylor 0 v) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))) (taylor 0 v) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))) (taylor 0 v) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) (taylor inf v) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u))) (taylor inf v) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (+ (* 2 (/ (- 1 (pow u 2)) (* (pow v 2) (+ 1 u)))) (/ 1 (+ 1 u))))) (/ (pow u 2) (+ 1 u))) (taylor inf v) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (+ (* -4/3 (/ (- 1 (pow u 2)) (* (pow v 3) (+ 1 u)))) (+ (* 2 (/ (- 1 (pow u 2)) (* (pow v 2) (+ 1 u)))) (/ 1 (+ 1 u)))))) (/ (pow u 2) (+ 1 u))) (taylor inf v) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) (taylor -inf v) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u))) (taylor -inf v) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (+ (* -1 (/ (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u))) (taylor -inf v) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt (- (+ u (+ (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u))) (taylor -inf v) (#s(alt (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) (patch (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -2 (- 1 u))) (taylor inf v) (#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) (taylor inf v) (#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) (taylor inf v) (#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
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#s(alt (- (* (pow u 2) (+ 4 (* u (+ 4 (* -4 (pow u 2)))))) 4) (taylor 0 u) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (patch (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow u 5)) (taylor inf u) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (patch (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u 5) (- (* 4 (/ 1 (pow u 2))) 4)) (taylor inf u) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (patch (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u 5) (- (+ (* 4 (/ 1 (pow u 2))) (/ 4 (pow u 3))) 4)) (taylor inf u) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (patch (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u 5) (- (+ (* 4 (/ 1 (pow u 2))) (/ 4 (pow u 3))) (+ 4 (* 4 (/ 1 (pow u 5)))))) (taylor inf u) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (patch (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow u 5)) (taylor -inf u) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (patch (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u 5) (- 4 (* 4 (/ 1 (pow u 2)))))) (taylor -inf u) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (patch (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u 5) (+ 4 (* -1 (/ (+ 4 (* 4 (/ 1 u))) (pow u 2)))))) (taylor -inf u) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (patch (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow u 5) (- (+ 4 (* -1 (/ (- 4 (* 4 (/ 1 (pow u 2)))) (pow u 3)))) (* 4 (/ 1 (pow u 2)))))) (taylor -inf u) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (patch (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) #<representation binary32>) () ())) ())
Calls

123 calls:

TimeVariablePointExpression
13.0ms
v
@0
(log (+ (/ (* (- 1 (* u u)) (exp (/ -2 v))) (+ 1 u)) u))
4.0ms
v
@0
(+ (* v (log (+ (/ (* (- 1 (* u u)) (exp (/ -2 v))) (+ 1 u)) u))) 1)
4.0ms
v
@inf
(+ (* v (log (+ (/ (* (- 1 (* u u)) (exp (/ -2 v))) (+ 1 u)) u))) 1)
2.0ms
v
@0
(+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2))
2.0ms
u
@inf
(+ (* u 2) -1)

simplify739.0ms (5.9%)

Memory
-117.7MiB live, 663.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 098×lower-fma.f64
8 098×lower-fma.f32
5 252×lower-*.f64
5 252×lower-*.f32
4 642×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075211591
1226411075
2729311007
0832510021
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
(exp (/ -2 v))
(+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v)))))
(+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v)))))
(+ (exp (/ -2 v)) (* u (- 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 (pow u 2))) (+ 1 u)))
(+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))
(+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))
(+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))
(- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u)))
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (+ (* 2 (/ (- 1 (pow u 2)) (* (pow v 2) (+ 1 u)))) (/ 1 (+ 1 u))))) (/ (pow u 2) (+ 1 u)))
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (+ (* -4/3 (/ (- 1 (pow u 2)) (* (pow v 3) (+ 1 u)))) (+ (* 2 (/ (- 1 (pow u 2)) (* (pow v 2) (+ 1 u)))) (/ 1 (+ 1 u)))))) (/ (pow u 2) (+ 1 u)))
(- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u)))
(- (+ u (+ (* -1 (/ (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u)))
(- (+ u (+ (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (* 2 (/ (- 1 (pow u 2)) (+ 1 u)))) v)) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u)))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v))))
(+ 1 (+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v))))
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
1
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(+ 1 (* v (log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))))
(* v (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (/ 1 v))))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v)))))
(* v (+ (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))) (+ (* -2 (/ (- 1 (pow u 2)) (* v (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (+ (* 1/6 (/ (+ (* -16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))) (+ (* -8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) (pow v 2))) (/ 1 v))))))
(* v (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v)))))
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (+ (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 1/2 (/ (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))))) v)))) v)))))
(* -1 (* v (+ (* -1 (log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))) (* -1 (/ (+ 1 (+ (* -2 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* -1 (/ (+ (* -1/2 (+ (* -4 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (* 4 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))))) (* 1/6 (/ (+ (* -24 (/ (pow (- 1 (pow u 2)) 2) (* (pow (+ 1 u) 2) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 2)))) (+ (* 8 (/ (- 1 (pow u 2)) (* (+ 1 u) (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))))) (* 16 (/ (pow (- 1 (pow u 2)) 3) (* (pow (+ 1 u) 3) (pow (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))) 3)))))) v))) v)))) v)))))
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(+ 1 (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(/ -2 v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(- (* u (- (+ (* u (+ (* -1/2 (/ (pow (- 1 (exp (/ -2 v))) 2) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (pow (- 1 (exp (/ -2 v))) 3)) (pow (exp (/ -2 v)) 3))))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))
(+ (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))))
(+ (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 (pow u 2))) (+ 1 u))))
(log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))
(log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))
(log (+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u))))
(log (- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u))))
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(- (+ (* 1/2 (/ (+ (* -4 (* (+ 1 (+ u (pow u 2))) (* (- 1 u) (- 1 (pow u 2))))) (* 4 (* (+ 1 u) (- 1 (pow u 3))))) (* v (* (+ 1 u) (+ 1 (+ u (pow u 2))))))) (* 2 u)) 2)
(- (* 2 u) 2)
(- (+ (* 1/2 (/ (+ (* -4 (* (+ 1 (+ u (pow u 2))) (* (- 1 u) (- 1 (pow u 2))))) (* 4 (* (+ 1 u) (- 1 (pow u 3))))) (* v (* (+ 1 u) (+ 1 (+ u (pow u 2))))))) (* 2 u)) 2)
(- (+ (* 1/2 (/ (+ (* -4 (* (+ 1 (+ u (pow u 2))) (* (- 1 u) (- 1 (pow u 2))))) (* 4 (* (+ 1 u) (- 1 (pow u 3))))) (* v (* (+ 1 u) (+ 1 (+ u (pow u 2))))))) (* 2 u)) 2)
(- (+ (* 1/2 (/ (+ (* -4 (* (+ 1 (+ u (pow u 2))) (* (- 1 u) (- 1 (pow u 2))))) (* 4 (* (+ 1 u) (- 1 (pow u 3))))) (* v (* (+ 1 u) (+ 1 (+ u (pow u 2))))))) (* 2 u)) 2)
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* -2 (- 1 u)))
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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))))))))))
(+ 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)))))))
4
(+ 4 (* -4 (pow u 3)))
(+ 4 (* -4 (pow u 3)))
(+ 4 (* -4 (pow u 3)))
(* -4 (pow u 3))
(* (pow u 3) (- (* 4 (/ 1 (pow u 3))) 4))
(* (pow u 3) (- (* 4 (/ 1 (pow u 3))) 4))
(* (pow u 3) (- (* 4 (/ 1 (pow u 3))) 4))
(* -4 (pow u 3))
(* -1 (* (pow u 3) (- 4 (* 4 (/ 1 (pow u 3))))))
(* -1 (* (pow u 3) (- 4 (* 4 (/ 1 (pow u 3))))))
(* -1 (* (pow u 3) (- 4 (* 4 (/ 1 (pow u 3))))))
-4
(- (* 4 u) 4)
(- (* 4 u) 4)
(- (* 4 u) 4)
(* 4 u)
(* u (- 4 (* 4 (/ 1 u))))
(* u (- 4 (* 4 (/ 1 u))))
(* u (- 4 (* 4 (/ 1 u))))
(* 4 u)
(* -1 (* u (- (* 4 (/ 1 u)) 4)))
(* -1 (* u (- (* 4 (/ 1 u)) 4)))
(* -1 (* u (- (* 4 (/ 1 u)) 4)))
(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)))
1
(+ 1 (* -1 (pow u 2)))
(+ 1 (* -1 (pow u 2)))
(+ 1 (* -1 (pow u 2)))
(* -1 (pow u 2))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
(* -1 (pow u 2))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (- 1 u)))
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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))))))))))
(+ 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)))))))
(/ -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))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))
(+ (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))))
(+ (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))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(* -2 (/ (- 1 u) v))
(/ (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))) v)
(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
(* -2 (/ (- 1 u) v))
(* -1 (/ (+ (* -1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v)) (* 1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))))) v)) (* 1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)) (* 2 (- 1 u))) v))
(* 4 u)
(* u (+ 4 (* 4 u)))
(* u (+ 4 (* u (+ 4 (* -4 (pow u 2))))))
(* u (+ 4 (* u (+ 4 (* (pow u 2) (- (* -4 u) 4))))))
(* -4 (pow u 5))
(* -1 (* (pow u 5) (+ 4 (* 4 (/ 1 u)))))
(* (pow u 5) (- (/ 4 (pow u 3)) (+ 4 (* 4 (/ 1 u)))))
(* (pow u 5) (- (+ (* 4 (/ 1 (pow u 4))) (/ 4 (pow u 3))) (+ 4 (* 4 (/ 1 u)))))
(* -4 (pow u 5))
(* -1 (* (pow u 5) (+ 4 (* 4 (/ 1 u)))))
(* -1 (* (pow u 5) (+ 4 (* -1 (/ (- (* 4 (/ 1 (pow u 2))) 4) u)))))
(* -1 (* (pow u 5) (+ 4 (* -1 (/ (- (+ (* 4 (/ 1 (pow u 2))) (/ 4 (pow u 3))) 4) u)))))
(* 4 u)
(* u (+ 4 (* -4 u)))
(* u (+ 4 (* -4 u)))
(* u (+ 4 (* -4 u)))
(* -4 (pow u 2))
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
(* -4 (pow u 2))
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
-4
(- (* 4 (pow u 2)) 4)
(- (* (pow u 2) (+ 4 (* 4 u))) 4)
(- (* (pow u 2) (+ 4 (* u (+ 4 (* -4 (pow u 2)))))) 4)
(* -4 (pow u 5))
(* (pow u 5) (- (* 4 (/ 1 (pow u 2))) 4))
(* (pow u 5) (- (+ (* 4 (/ 1 (pow u 2))) (/ 4 (pow u 3))) 4))
(* (pow u 5) (- (+ (* 4 (/ 1 (pow u 2))) (/ 4 (pow u 3))) (+ 4 (* 4 (/ 1 (pow u 5))))))
(* -4 (pow u 5))
(* -1 (* (pow u 5) (- 4 (* 4 (/ 1 (pow u 2))))))
(* -1 (* (pow u 5) (+ 4 (* -1 (/ (+ 4 (* 4 (/ 1 u))) (pow u 2))))))
(* -1 (* (pow u 5) (- (+ 4 (* -1 (/ (- 4 (* 4 (/ 1 (pow u 2)))) (pow u 3)))) (* 4 (/ 1 (pow u 2))))))
Outputs
(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v)))))
(fma.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v)))))
(fma.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(+ (exp (/ -2 v)) (* u (- 1 (exp (/ -2 v)))))
(fma.f32 u (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u) u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* -1 (* u (- (exp (/ -2 v)) 1)))
(*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(neg.f32 (*.f32 u (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(neg.f32 (*.f32 u (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(neg.f32 (*.f32 u (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))
(+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)
(+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)
(+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)
(+ u (/ (* (exp (/ -2 v)) (- 1 (pow u 2))) (+ 1 u)))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 u #s(literal 1 binary32))) u)
(- (+ u (/ 1 (+ 1 u))) (/ (pow u 2) (+ 1 u)))
(+.f32 u (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (/ 1 (+ 1 u)))) (/ (pow u 2) (+ 1 u)))
(+.f32 u (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 v u v)) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))))
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (+ (* 2 (/ (- 1 (pow u 2)) (* (pow v 2) (+ 1 u)))) (/ 1 (+ 1 u))))) (/ (pow u 2) (+ 1 u)))
(+.f32 u (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 v u v)) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 u (neg.f32 u)) #s(literal 2 binary32)) (*.f32 v (fma.f32 v u v)))) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))))
(- (+ u (+ (* -2 (/ (- 1 (pow u 2)) (* v (+ 1 u)))) (+ (* -4/3 (/ (- 1 (pow u 2)) (* (pow v 3) (+ 1 u)))) (+ (* 2 (/ (- 1 (pow u 2)) (* (pow v 2) (+ 1 u)))) (/ 1 (+ 1 u)))))) (/ (pow u 2) (+ 1 u)))
(+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 v u v)) (fma.f32 #s(literal -4/3 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 v (*.f32 v (fma.f32 v u v)))) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 v (fma.f32 v u v))) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))))) (-.f32 u (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))))
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(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 #s(literal -4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 u u))))
(* -1 (* (pow u 5) (+ 4 (* -1 (/ (+ 4 (* 4 (/ 1 u))) (pow u 2))))))
(*.f32 (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 #s(literal 4 binary32) u)) (*.f32 u u))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (- (+ 4 (* -1 (/ (- 4 (* 4 (/ 1 (pow u 2)))) (pow u 3)))) (* 4 (/ 1 (pow u 2))))))
(*.f32 (+.f32 #s(literal 4 binary32) (+.f32 (/.f32 (+.f32 #s(literal -4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 u u))) (*.f32 u (*.f32 u u))) (/.f32 #s(literal -4 binary32) (*.f32 u u)))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))

rewrite468.0ms (3.7%)

Memory
-7.8MiB live, 733.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 704×lower-fma.f64
5 682×lower-fma.f32
5 356×lower-*.f64
5 332×lower-*.f32
2 516×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075645
0126622
1557595
25630595
08497556
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 508
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (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 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
(fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32))
(log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (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))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)))
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)))
(fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))
(fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.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) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(-.f32 #s(literal 1 binary32) (*.f32 u u))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))))
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u)))
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))
Outputs
(+.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(pow.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u u)) (fma.f32 u (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (fma.f32 u (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u u))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(fma.f32 u #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) u)
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(fma.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 u))) u)
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal -1 binary32)) u)
(fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) u)
(fma.f32 (/.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u) u)
(fma.f32 (/.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (-.f32 (fma.f32 u u #s(literal 1 binary32)) u) u)
(-.f32 (/.f32 (*.f32 u u) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))) (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))
(-.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u))) (/.f32 (*.f32 u u) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u u)) (fma.f32 u (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (fma.f32 u (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u u))))
(/.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 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))
(/.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)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u u)))
(/.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)))
(/.f32 (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))
(/.f32 (neg.f32 (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (neg.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (neg.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)))) (neg.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))))
(/.f32 (neg.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)))) (neg.f32 (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u u))) (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) 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))) (/.f32 #s(literal 1 binary32) (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))))
(*.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))) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))))
(*.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u))))
(*.f32 (-.f32 (*.f32 u u) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) 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 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
(+.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) #s(literal -1 binary32))
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(*.f32 (pow.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) (fma.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) (*.f32 (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) (*.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 (fma.f32 (*.f32 u u) (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32))) (*.f32 (fma.f32 (*.f32 u u) (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 u u) (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32)))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) (-.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) (*.f32 (fma.f32 (*.f32 u u) (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32)))) (*.f32 (fma.f32 (*.f32 u u) (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 u u) (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32))))))))
(*.f32 (pow.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) (fma.f32 (fma.f32 (*.f32 u u) (neg.f32 u) #s(literal 1 binary32)) (*.f32 (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 (fma.f32 (*.f32 u u) (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32)))) (neg.f32 (*.f32 (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) (*.f32 #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (fma.f32 (*.f32 u u) (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u #s(literal 4 binary32) #s(literal 4 binary32))) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))))))
(+.f32 (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (fma.f32 u u u)))
(+.f32 (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (fma.f32 u u u)) (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (fma.f32 u u #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) u))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (*.f32 (fma.f32 u u u) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))))
(+.f32 (*.f32 (fma.f32 u u u) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))))
(+.f32 (*.f32 (fma.f32 u u #s(literal 1 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (*.f32 u (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (*.f32 (fma.f32 u u u) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))))
(fma.f32 (fma.f32 u u u) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))))
(fma.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (fma.f32 u u u)))
(fma.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (fma.f32 u u u) (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (fma.f32 u u #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) u))
(fma.f32 (fma.f32 u u #s(literal 1 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (*.f32 u (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))))
(/.f32 (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (fma.f32 (fma.f32 u u u) (*.f32 (fma.f32 u u u) (fma.f32 u u u)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (-.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) (fma.f32 u u u)))) (-.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (*.f32 (fma.f32 (fma.f32 u u u) (*.f32 (fma.f32 u u u) (fma.f32 u u u)) #s(literal 1 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (fma.f32 (fma.f32 u u u) (-.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) (fma.f32 u u u))) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32)))
(*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -4 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))) (fma.f32 u (neg.f32 u) #s(literal 1 binary32)))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -4 binary32))
(*.f32 (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) (-.f32 #s(literal 1 binary32) u)) #s(literal -4 binary32))
(*.f32 (*.f32 (*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) #s(literal -4 binary32)) (-.f32 #s(literal 1 binary32) u))

eval140.0ms (1.1%)

Memory
20.0MiB live, 310.7MiB allocated
Compiler

Compiled 47 458 to 3 255 computations (93.1% saved)

prune252.0ms (2%)

Memory
-17.1MiB live, 512.0MiB allocated
Pruning

58 alts after pruning (48 fresh and 10 done)

PrunedKeptTotal
New1 004281 032
Fresh102030
Picked325
Done088
Total1 017581 075
Accuracy
100.0%
Counts
1 075 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) (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)))))
96.5%
(/.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 6 binary32))) (*.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)) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (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 4 binary32))))))
✓96.8%
(+.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))
95.5%
(+.f32 (*.f32 v (log.f32 #s(approx (+ (* (exp (/ -2 v)) (+ 1 u)) u) (fma.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32))
9.7%
(+.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)))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 #s(approx (- 1 (* u u)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) #s(approx (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4))) (fma.f32 u (*.f32 u #s(literal 4 binary32)) #s(literal -4 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 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))) v))))
5.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v)) v))))
12.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 u (*.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))))) v))))
11.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
✓94.0%
(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)))
13.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
✓9.8%
#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)))
7.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) v)) (*.f32 v u) #s(literal -1 binary32)))
13.3%
#s(approx (+ 1 (* 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) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
13.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
99.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (neg.f32 (log.f32 (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))))))) #s(literal 1 binary32)))
99.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
✓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)))
✓99.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
96.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) #s(literal 1 binary32)))
9.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (/ (* (- 1 (* u u)) (exp (/ -2 v))) (+ 1 u)) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.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))))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)))
10.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.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))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 24 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 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.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))))) v)) #s(literal 1 binary32)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (/.f32 (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)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (*.f32 v #s(literal 6 binary32)))) v))))
7.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
10.5%
#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)))
10.5%
#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 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v))))) v)))
11.2%
#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 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 (/.f32 u v) #s(literal -8/3 binary32) (/.f32 #s(literal 4 binary32) v))) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))
11.3%
#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 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))
11.2%
#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 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4 binary32) v) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) u))) u))))) v)))
10.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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 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 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.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 v v)) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))))
11.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32))))
13.1%
#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))))
✓7.8%
#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) #s(literal -1 binary32))))
✓11.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (fma.f32 #s(literal 2 binary32) (+.f32 u (/.f32 u v)) #s(literal -1 binary32)))))
✓10.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))))
10.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))))))
10.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))))
10.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))))
9.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
11.3%
#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 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))
10.8%
#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 u #s(literal 4/3 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) (neg.f32 v))) v))))
7.8%
#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) (*.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u))))))
21.0%
#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) (*.f32 u #s(literal 2 binary32)))))
11.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))))) (*.f32 v v)))))
11.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) u))))))))
10.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
7.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
7.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
7.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
7.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))))))))
10.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))))
13.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
13.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u)))))
✓88.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32)))
✓5.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 4 084 to 1 311 computations (67.9% saved)

regimes165.0ms (1.3%)

Memory
-8.8MiB live, 145.1MiB allocated
Counts
94 → 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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (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)))
#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) (*.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))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) 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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.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))))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 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)))))
#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)))
(+.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) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 #s(approx (- 1 (* u u)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.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 (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (/ (* (- 1 (* u u)) (exp (/ -2 v))) (+ 1 u)) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.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)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)))) v) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #s(literal 1 binary32)))
(+.f32 (*.f32 v (log.f32 #s(approx (+ (* (exp (/ -2 v)) (+ 1 u)) u) (fma.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
(+.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (+.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) #s(literal -1/6 binary32))) (neg.f32 v))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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 (-.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))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 24 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 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 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 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 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.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 v v)) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.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))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 24 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 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (*.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))))) v)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (fma.f32 u (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (neg.f32 (log.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) (/.f32 #s(literal -2 binary32) v))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (neg.f32 (log.f32 (/.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 u u) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v)))))))) #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)))
#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 #s(literal 1 binary32) #s(approx (* 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 -2 binary32))))
#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)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)) (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)))))
(/.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 6 binary32))) (*.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)) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (+.f32 #s(literal 1 binary32) u) u))) #s(literal 2 binary32)) (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 4 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)))))))
Calls

4 calls:

82.0ms
(+.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)))))))
27.0ms
u
25.0ms
v
25.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Results
AccuracySegmentsBranch
99.7%1u
99.7%1v
99.7%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)))))))
99.7%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)

regimes124.0ms (1%)

Memory
19.8MiB live, 177.7MiB allocated
Counts
78 → 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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (fma.f32 u #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)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4 binary32) v) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) u))) u))))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) #s(approx (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4))) (fma.f32 u (*.f32 u #s(literal 4 binary32)) #s(literal -4 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.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 (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.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))))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 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)))))
#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)))
(+.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) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 #s(approx (- 1 (* u u)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.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 (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (/ (* (- 1 (* u u)) (exp (/ -2 v))) (+ 1 u)) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.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)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)))) v) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #s(literal 1 binary32)))
(+.f32 (*.f32 v (log.f32 #s(approx (+ (* (exp (/ -2 v)) (+ 1 u)) u) (fma.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
(+.f32 (*.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))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
Calls

4 calls:

40.0ms
(+.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)))))))
35.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
24.0ms
u
21.0ms
v
Results
AccuracySegmentsBranch
99.7%1u
99.7%1v
99.7%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)))))))
99.7%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)

regimes94.0ms (0.7%)

Memory
-11.6MiB live, 141.9MiB 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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (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)))
#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) (*.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))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) 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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* 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) (-.f32 #s(literal 1 binary32) 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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32))))
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(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v)) 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 -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))
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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 (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))))) (*.f32 v v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 #s(literal -4/3 binary32) u) v)) (neg.f32 v)) (fma.f32 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 -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) (neg.f32 v)))))
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#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 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4 binary32) v) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) u))) u))))) v)))
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#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)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #s(literal 1 binary32)))
(+.f32 (*.f32 v (log.f32 #s(approx (+ (* (exp (/ -2 v)) (+ 1 u)) u) (fma.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))))
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:

26.0ms
u
23.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
21.0ms
v
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)

regimes102.0ms (0.8%)

Memory
-17.5MiB live, 156.0MiB allocated
Counts
74 → 1
Calls
Call 1
Inputs
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4 binary32) v) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) u))) u))))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) #s(approx (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4))) (fma.f32 u (*.f32 u #s(literal 4 binary32)) #s(literal -4 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.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 (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.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))))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 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)))))
#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)))
(+.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) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 #s(approx (- 1 (* u u)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.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 (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (/ (* (- 1 (* u u)) (exp (/ -2 v))) (+ 1 u)) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.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)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)))) v) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 #s(approx (+ (* (exp (/ -2 v)) (- 1 u)) u) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))) #s(literal 1 binary32)))
(+.f32 (*.f32 v (log.f32 #s(approx (+ (* (exp (/ -2 v)) (+ 1 u)) u) (fma.f32 u (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)))) #s(literal 1 binary32))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) #s(literal 1 binary32)))
Calls

4 calls:

36.0ms
u
22.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
21.0ms
v
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
96.9%1u
96.9%1v
96.9%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
96.9%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes104.0ms (0.8%)

Memory
28.7MiB live, 141.3MiB allocated
Counts
71 → 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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (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)))
#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) (*.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))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) 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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(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) (-.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) (fma.f32 u (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32))))
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#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 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))
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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 (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))))) (*.f32 v v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 #s(literal -4/3 binary32) u) v)) (neg.f32 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))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)))) v) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)))) v) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

4 calls:

46.0ms
u
19.0ms
v
19.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
17.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
88.5%1u
92.0%2v
92.0%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
92.0%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes45.0ms (0.4%)

Memory
8.7MiB live, 86.2MiB allocated
Counts
70 → 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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #s(literal 1 binary32)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)) (fma.f32 #s(literal 8 binary32) (neg.f32 u) #s(literal 8 binary32))) (/.f32 #s(literal 1/6 binary32) v))) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4 binary32) v) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) u))) u))))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) #s(approx (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4))) (fma.f32 u (*.f32 u #s(literal 4 binary32)) #s(literal -4 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.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 (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.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))))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 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)))))
#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)))
(+.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) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 #s(approx (- 1 (* u u)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.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 (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (/ (* (- 1 (* u u)) (exp (/ -2 v))) (+ 1 u)) u)) (fma.f32 u (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.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)))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.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))))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

2 calls:

23.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
17.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
92.0%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
92.0%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)

regimes54.0ms (0.4%)

Memory
-13.2MiB live, 104.2MiB allocated
Counts
61 → 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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (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)))
#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) (*.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))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) 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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #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)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* 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) (-.f32 #s(literal 1 binary32) 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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v)) 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 -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))))) (*.f32 v v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 #s(literal -4/3 binary32) u) v)) (neg.f32 v)) (fma.f32 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 -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) (neg.f32 v)))))
(+.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) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (+.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))))) (/.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) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 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))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#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 u #s(literal 4/3 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) (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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (+.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(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) (neg.f32 v)) (fma.f32 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 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) (neg.f32 v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 (/.f32 u v) #s(literal -8/3 binary32) (/.f32 #s(literal 4 binary32) v))) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 u (*.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 (*.f32 u u) (neg.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v))))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (/.f32 (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)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (*.f32 v #s(literal 6 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)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 8/3 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 4 binary32) v) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)) u))) u))))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) u) #s(approx (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4))) (fma.f32 u (*.f32 u #s(literal 4 binary32)) #s(literal -4 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/2 binary32) v) (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))))))) (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)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

18.0ms
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
(+.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
92.0%2v
92.0%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
92.0%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)

regimes36.0ms (0.3%)

Memory
9.6MiB live, 48.0MiB allocated
Counts
57 → 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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (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)))
#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) (*.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))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) 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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #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)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* 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) (-.f32 #s(literal 1 binary32) 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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v)) 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 -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))))) (*.f32 v v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 #s(literal -4/3 binary32) u) v)) (neg.f32 v)) (fma.f32 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 -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) (neg.f32 v)))))
(+.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) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (+.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))))) (/.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) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 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))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#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 u #s(literal 4/3 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) (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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (+.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(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) (neg.f32 v)) (fma.f32 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 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) (neg.f32 v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 (/.f32 u v) #s(literal -8/3 binary32) (/.f32 #s(literal 4 binary32) v))) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 u (*.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 (*.f32 u u) (neg.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v))))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (/.f32 (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)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (*.f32 v #s(literal 6 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)))))
Outputs
#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)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

2 calls:

20.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
13.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
92.0%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
92.0%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)

regimes83.0ms (0.7%)

Memory
15.2MiB live, 53.6MiB allocated
Counts
55 → 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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (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)))
#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) (*.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))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) 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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #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)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* 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) (-.f32 #s(literal 1 binary32) 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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v)) 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 -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))))) (*.f32 v v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 #s(literal -4/3 binary32) u) v)) (neg.f32 v)) (fma.f32 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 -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) (neg.f32 v)))))
(+.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) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (+.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))))) (/.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) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 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))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#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 u #s(literal 4/3 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) (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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (+.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(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) (neg.f32 v)) (fma.f32 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 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) (neg.f32 v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 (/.f32 u v) #s(literal -8/3 binary32) (/.f32 #s(literal 4 binary32) v))) #s(literal -2 binary32)) (/.f32 #s(literal -4/3 binary32) v)))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 u (*.f32 u (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u))))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 (*.f32 u u) (neg.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u) (/.f32 #s(literal 2 binary32) v))))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (/.f32 (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)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32))) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) (*.f32 v #s(literal 6 binary32)))) v))))
Outputs
#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 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 (/.f32 u v) #s(literal -8/3 binary32) (/.f32 #s(literal 4 binary32) v))) #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

2 calls:

67.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
13.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
92.0%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
92.0%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)

regimes80.0ms (0.6%)

Memory
-10.1MiB live, 102.1MiB allocated
Counts
51 → 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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (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)))
#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) (*.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))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) 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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #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)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* 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) (-.f32 #s(literal 1 binary32) 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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v)) 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 -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))))) (*.f32 v v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 #s(literal -4/3 binary32) u) v)) (neg.f32 v)) (fma.f32 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 -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) (neg.f32 v)))))
(+.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) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (+.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))))) (/.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) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 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))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#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 u #s(literal 4/3 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) (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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (+.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(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) (neg.f32 v)) (fma.f32 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 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) (neg.f32 v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (-.f32 (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (*.f32 u (+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)))))))
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 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

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)))))))
15.0ms
v
13.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Results
AccuracySegmentsBranch
91.8%2v
91.9%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)))))))
91.9%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)

regimes29.0ms (0.2%)

Memory
5.5MiB live, 77.3MiB allocated
Counts
47 → 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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (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)))
#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) (*.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))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) 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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #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)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* 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) (-.f32 #s(literal 1 binary32) 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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v)) 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 -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))))) (*.f32 v v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 #s(literal -4/3 binary32) u) v)) (neg.f32 v)) (fma.f32 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 -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) (neg.f32 v)))))
(+.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) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (+.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))))) (/.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) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 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))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#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 u #s(literal 4/3 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) (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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (fma.f32 u (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4 binary32) v)) (+.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(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (*.f32 (*.f32 u u) (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v))) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) (neg.f32 v)) (fma.f32 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 u #s(literal -2 binary32) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 (/.f32 u v) #s(literal 2/3 binary32))) (neg.f32 v))) (neg.f32 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 u #s(literal 4/3 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) (neg.f32 v))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

2 calls:

14.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
13.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
91.9%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)))))))
91.9%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes33.0ms (0.3%)

Memory
1.8MiB live, 54.7MiB 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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (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)))
#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) (*.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))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) 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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #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)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* 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) (-.f32 #s(literal 1 binary32) 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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v)) 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 -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))))) (*.f32 v v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 #s(literal -4/3 binary32) u) v)) (neg.f32 v)) (fma.f32 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 -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) (neg.f32 v)))))
(+.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) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (+.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))))) (/.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) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 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))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

2 calls:

21.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
10.0ms
(+.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
91.9%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)))))))
91.9%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes36.0ms (0.3%)

Memory
-22.9MiB live, 91.9MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (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)))
#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) (*.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))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) 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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #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)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* 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) (-.f32 #s(literal 1 binary32) 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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v)) 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 -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))))) (*.f32 v v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 #s(literal -4/3 binary32) u) v)) (neg.f32 v)) (fma.f32 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 -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) (neg.f32 v)))))
(+.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) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (+.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))))) (/.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) (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 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))) v))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) u))))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

13.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
11.0ms
v
11.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
88.5%1v
91.7%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
91.7%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)

regimes22.0ms (0.2%)

Memory
17.8MiB live, 61.0MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (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)))
#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) (*.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))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) 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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #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)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* 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) (-.f32 #s(literal 1 binary32) 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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v)) 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 -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 4/3 binary32) (/.f32 u (*.f32 v v)) (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))))))) (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -4/3 binary32) v)))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (/.f32 (fma.f32 u #s(literal 4/3 binary32) (*.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))))) (*.f32 v v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (+.f32 (/.f32 (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 #s(literal -4/3 binary32) u) v)) (neg.f32 v)) (fma.f32 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 -4/3 binary32) (/.f32 u v) (*.f32 u #s(literal -2 binary32))) (neg.f32 v)))))
(+.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) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (*.f32 u #s(literal 2 binary32)) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
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 4/3 binary32) (/.f32 u (*.f32 v v)) (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:

11.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
10.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Results
AccuracySegmentsBranch
91.7%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
91.7%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)

regimes16.0ms (0.1%)

Memory
5.9MiB live, 44.7MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (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)))
#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) (*.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))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) 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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #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)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* 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) (-.f32 #s(literal 1 binary32) 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) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 (/.f32 #s(literal 2 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #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))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 u u) v))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 (* u (* u u))) 4) (+ 1 u)) (* (+ 1 (+ (* u u) u)) (* (- 1 (* u u)) (* (- 1 u) -4)))) (* (+ 1 (+ (* u u) u)) (+ 1 u))) (/ 1/2 v)) (+ (* -2 (neg u)) -2)) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 u u)) v)) 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 -4/3 binary32) (/.f32 u v) (*.f32 #s(literal -2 binary32) 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 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v))) #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
91.7%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
91.7%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)

regimes26.0ms (0.2%)

Memory
-14.9MiB live, 63.0MiB allocated
Counts
20 → 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 (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* v (log (+ (* (exp (/ -2 v)) (- 1 u)) u))) 1) #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) (*.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) (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)))
#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) (*.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))))))) (fma.f32 #s(approx (- (exp (/ 2 v)) 1) (/.f32 #s(literal 2 binary32) 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) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (*.f32 u #s(literal 2/3 binary32)) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal -2 binary32) (neg.f32 u) #s(literal -2 binary32)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (* (- 1 u) (+ (* (- 1 u) -4) 4)) (*.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) (fma.f32 #s(literal 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) #s(approx (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1) (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (/.f32 #s(literal 1/2 binary32) v) #s(literal -2 binary32)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #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)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) (/ 1/2 v)) (+ (* -2 (- 1 u)) 1)) (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 u v) (/.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 (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (*.f32 u #s(literal 4/3 binary32)) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v))))))
#s(approx (+ 1 (* 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) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

4 calls:

7.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
6.0ms
u
6.0ms
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
88.5%1u
88.5%1v
88.5%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
88.5%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes5.0ms (0%)

Memory
17.2MiB live, 17.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
1.0ms
v
1.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
1.0ms
u
Results
AccuracySegmentsBranch
5.4%1u
5.4%1v
5.4%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)))))))
5.4%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)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7885309457778931
-0.7879583239555359
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7885309457778931
-0.7879583239555359
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7885309457778931
-0.7879583239555359
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7885309457778931
-0.7879583239555359
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7885309457778931
-0.7879583239555359
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7885309457778931
-0.7879583239555359
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7885309457778931
-0.7879583239555359
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch2.0ms (0%)

Memory
-40.3MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7885309457778931
-0.7879583239555359
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7885309457778931
-0.7879583239555359
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7885309457778931
-0.7879583239555359
Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7885309457778931
-0.7879583239555359
Compiler

Compiled 20 to 18 computations (10% saved)

simplify21.0ms (0.2%)

Memory
11.7MiB live, 51.0MiB allocated
Algorithm
1×egg-herbie
Rules
68×*-commutative_binary32
68×+-commutative_binary32
44×sub-neg_binary32
36×neg-sub0_binary32
36×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151211
12671211
23101211
33441211
43681211
53761211
Stop Event
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)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) #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 -6610223/8388608 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)))) v) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 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 -6610223/8388608 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32) #s(literal -24 binary32)))) (/.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))))) (neg.f32 v))) (neg.f32 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 -6610223/8388608 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))) v) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -16 binary32) #s(literal 24 binary32)) (fma.f32 #s(literal -8 binary32) (neg.f32 u) #s(literal -8 binary32))) (*.f32 v v)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))) #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 -6610223/8388608 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))) #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 -6610223/8388608 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 #s(approx (+ (* (* (- 1 u) (+ (* (- 1 u) -4) 4)) -1/2) (* (+ (* (* (- 1 u) (- 1 u)) (+ (* (- 1 u) 16) -24)) (+ (* 8 (neg u)) 8)) (/ 1/6 v))) (*.f32 u (+.f32 (fma.f32 u (+.f32 #s(literal 2 binary32) (fma.f32 (/.f32 u v) #s(literal -8/3 binary32) (/.f32 #s(literal 4 binary32) v))) #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 -6610223/8388608 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 2/3 binary32) (/.f32 u (*.f32 v (*.f32 v v))) (fma.f32 u (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 -6610223/8388608 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 u #s(literal 4/3 binary32) (/.f32 (*.f32 u #s(literal 2/3 binary32)) v)) (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 -6610223/8388608 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 2/3 (/ u (* v (* v v)))) (+ (* u (+ (+ 2 (/ 2 v)) (/ 4/3 (* v v)))) -1)) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v (fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32)) (*.f32 u #s(literal 2 binary32))) (*.f32 u #s(literal 4/3 binary32))) (*.f32 u #s(literal 2/3 binary32))) (*.f32 v (*.f32 v v)))))) #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 -6610223/8388608 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) (* v u)) -1) #s(approx (+ (* 4/3 (/ u (* v v))) (+ (* 2 (+ u (/ u v))) -1)) (*.f32 u (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) u)))))))) #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 -6610223/8388608 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 4/3 binary32) (/.f32 u (*.f32 v v)) (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)))
(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 -6610223/8388608 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 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 4/3 binary32) (*.f32 v 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 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.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))))))) (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(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v (log.f32 (+.f32 u #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) 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 -6610223/8388608 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 v #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (*.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -24 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)))) v) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v))) #s(literal 1 binary32))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
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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))

soundness1.1s (8.8%)

Memory
31.5MiB live, 1 155.8MiB allocated
Rules
11 468×lower-fma.f64
11 468×lower-fma.f32
8 562×lower-fma.f64
8 562×lower-fma.f32
8 098×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120220995
1389220265
0905518025
03373014
19352793
230222668
083322386
048344
083331
1332326
22438324
08112317
080011498
1239210814
2784810742
080929677
075211591
1226411075
2729311007
0832510021
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 880 to 330 computations (62.5% saved)

preprocess94.0ms (0.7%)

Memory
6.7MiB live, 240.9MiB allocated
Compiler

Compiled 1 282 to 294 computations (77.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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