HairBSDF, sample_f, cosTheta

Time bar (total: 9.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze82.0ms (0.9%)

Memory
13.8MiB live, 90.8MiB 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 (17.2%)

Memory
63.1MiB live, 1 964.3MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 986.0ms
const: 269.0ms (27.3% of total)
ival-<=: 158.0ms (16% of total)
ival-log: 113.0ms (11.5% of total)
ival-mult: 97.0ms (9.8% of total)
ival-add: 91.0ms (9.2% of total)
ival-sub: 77.0ms (7.8% of total)
ival-div: 72.0ms (7.3% of total)
ival-exp: 71.0ms (7.2% of total)
ival-and: 24.0ms (2.4% of total)
exact: 10.0ms (1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain205.0ms (2.2%)

Memory
17.4MiB live, 278.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
58(2.0462568500079215e-5 0.004516355227679014)5(0.08790301531553268 0.02601672150194645)(exp.f32 (/.f32 #s(literal -2 binary32) v))
00-0-(-.f32 #s(literal 1 binary32) u)
00-0-#s(literal 1 binary32)
00-0-#s(literal -2 binary32)
00-0-u
00-0-(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
00-0-(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
00-0-v
00-0-(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
00-0-(/.f32 #s(literal -2 binary32) v)
00-0-(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
00-0-(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 #s(literal -2 binary32) v))sensitivity89
Confusion
Predicted +Predicted -
+04
-8244
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+022
-810234
Precision?
0.1
Recall?
0.5
Freqs
test
numberfreq
0248
18
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
74.0ms512×0valid
Compiler

Compiled 163 to 40 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-log: 34.0ms (60.9% of total)
ival-mult: 6.0ms (10.7% of total)
ival-div: 4.0ms (7.2% of total)
ival-add: 4.0ms (7.2% of total)
ival-exp: 4.0ms (7.2% of total)
ival-sub: 2.0ms (3.6% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess102.0ms (1.1%)

Memory
2.0MiB live, 48.4MiB allocated
Algorithm
1×egg-herbie
Rules
500×lower-fma.f64
500×lower-fma.f32
346×div-sub
312×sub-neg
302×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify21.0ms (0.2%)

Memory
-22.7MiB live, 14.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize38.0ms (0.4%)

Memory
13.6MiB live, 51.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.05535126953688403
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
accuracy0.05801464469303148
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
accuracy0.1776255877620471
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.29296875
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Samples
31.0ms256×0valid
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 (22.7% of total)
ival-div: 2.0ms (15.1% of total)
ival-add: 2.0ms (15.1% of total)
ival-exp: 2.0ms (15.1% of total)
ival-log: 2.0ms (15.1% of total)
ival-sub: 1.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series108.0ms (1.1%)

Memory
-14.3MiB live, 100.1MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())
#s(alt (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (patch (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())
#s(alt (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) (patch (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (patch (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 #s(literal -2 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
Outputs
#s(alt 1 (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))) #<representation binary32>) () ())) ())
#s(alt (+ u (* (exp (/ -2 v)) (- 1 u))) (taylor 0 v) (#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 (+ u (* (exp (/ -2 v)) (- 1 u))) (taylor 0 v) (#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 (+ u (* (exp (/ -2 v)) (- 1 u))) (taylor 0 v) (#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 (+ u (* (exp (/ -2 v)) (- 1 u))) (taylor 0 v) (#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 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#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 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#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 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#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 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#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 (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#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 (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#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 (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#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 (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#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 (/ -2 v)) (taylor 0 v) (#s(alt (exp.f32 (/.f32 #s(literal -2 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (exp (/ -2 v)) (taylor 0 v) (#s(alt (exp.f32 (/.f32 #s(literal -2 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (exp (/ -2 v)) (taylor 0 v) (#s(alt (exp.f32 (/.f32 #s(literal -2 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())) ())
#s(alt (exp (/ -2 v)) (taylor 0 v) (#s(alt (exp.f32 (/.f32 #s(literal -2 binary32) v)) (patch (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>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
54.0ms
v
@0
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))
9.0ms
v
@inf
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))
2.0ms
u
@inf
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))
2.0ms
v
@-inf
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))
2.0ms
u
@-inf
((+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ u (* (- 1 u) (exp (/ -2 v)))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (exp (/ -2 v)))

simplify181.0ms (1.9%)

Memory
20.8MiB live, 324.0MiB 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
03372986
19352772
230292668
083342386
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))))))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(+ 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)))))
(* v (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))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 v))
(+ 1 (* -2 (- 1 u)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -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
(+ 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))))))
(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(* -2 (/ (- 1 u) 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)
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 (* -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
(+ 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)))
(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u)))) (* 1/6 (/ (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3)))) v))) v)))
(+ (* -2 (- 1 u)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -24 (pow (- 1 u) 2)) (+ (* 8 (- 1 u)) (* 16 (pow (- 1 u) 3))))) (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) v))) v)) (* -1/2 (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))))) v)))
(* -2 (/ (- 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))
1
(- 1 (* 2 (/ 1 v)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
-1
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 1)
(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))))))
-2
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
(/ -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)))
(+ 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))))))))))
(* 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))))
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ (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))))))))))
(+ 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 (* 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)))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (log (- (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))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+ u (* (exp (/ -2 v)) (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ u (* (exp (/ -2 v)) (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ u (* (exp (/ -2 v)) (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ u (* (exp (/ -2 v)) (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(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 (* -2 (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+ 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 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(+ 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 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 v v) v)) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (* -2 (/ (- 1 u) v)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) v)) #s(literal 1 binary32))
(+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2))))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 v v)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32) #s(literal 1 binary32)))
(* -2 (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
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(fma.f32 (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
(+ 1 (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(fma.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(fma.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal 1 binary32))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(fma.f32 v (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) (fma.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) #s(literal 1 binary32)))
(* u (+ 1 (* -1 (exp (/ -2 v)))))
(*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(*.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(*.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* u (+ 1 (+ (* -1 (exp (/ -2 v))) (/ (exp (/ -2 v)) u))))
(*.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u)))))
(*.f32 (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) v)
(+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))
(*.f32 v (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) 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))))))))
(*.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(fma.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) (*.f32 v (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
(+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
(+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) (log.f32 u)) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(fma.f32 v (-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u))) #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)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v #s(literal 1 binary32)) (/.f32 (*.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) u))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (*.f32 v (fma.f32 (/.f32 #s(literal -1/3 binary32) u) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))) u)) u))
(* -1 (* u (- (exp (/ -2 v)) 1)))
(*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) u)
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(*.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v)
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(*.f32 v (-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(-.f32 (*.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v) (/.f32 (*.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) u))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(-.f32 (*.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v) (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (*.f32 v (fma.f32 (/.f32 #s(literal -1/3 binary32) u) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))) u)) u))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
(-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u)))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) u))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) u) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32))) u)) u))

rewrite445.0ms (4.7%)

Memory
-97.0MiB live, 306.2MiB allocated
Rules
5 318×lower-fma.f64
5 318×lower-fma.f32
4 218×lower-*.f64
4 214×lower-*.f32
1 912×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval40.0ms (0.4%)

Memory
-4.9MiB live, 108.5MiB allocated
Compiler

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

prune83.0ms (0.9%)

Memory
-8.8MiB live, 227.1MiB allocated
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New33429363
Fresh000
Picked011
Done000
Total33430364
Accuracy
99.9%
Counts
364 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)))) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (fma.f32 (neg.f32 v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)))))
▶99.5%
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
99.2%
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32))) (*.f32 (fma.f32 (neg.f32 v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)))) (pow.f32 (fma.f32 (neg.f32 v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) #s(literal 2 binary32)))
99.1%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))))
99.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
99.5%
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
✓99.5%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
▶8.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
12.3%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))))
11.4%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) #s(literal 1/2 binary32))) v)) (neg.f32 v)))))
6.4%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
11.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 v v) v)) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))))
11.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))))
13.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
8.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
95.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) (*.f32 v (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))))
11.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v))))
11.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))))
99.1%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)))
94.9%
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))) #s(literal -1 binary32)))
4.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u v) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (*.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
▶3.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))))
13.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
6.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
8.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
▶11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
86.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
▶4.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 2 157 to 1 088 computations (49.6% saved)

simplify123.0ms (1.3%)

Memory
25.0MiB live, 172.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
cost-diff128
(*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)))))
cost-diff160
(*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))
cost-diff0
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
cost-diff0
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
cost-diff0
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
cost-diff96
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
cost-diff128
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
cost-diff192
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
cost-diff224
(fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
cost-diff0
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
cost-diff0
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
Rules
9 350×lower-fma.f64
9 330×lower-fma.f32
3 404×lower-*.f64
3 386×lower-*.f32
2 482×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

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

localize184.0ms (2%)

Memory
8.2MiB live, 241.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.20825284625974191
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy0.21787560448515447
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
accuracy5.518803729115032
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
accuracy7.47721812338429
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
accuracy0.0703125
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
accuracy0.20825284625974191
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
accuracy0.22252376860893555
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
accuracy7.629531678057063
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
accuracy0.11003876953688403
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
accuracy1.6211388099781967
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
accuracy1.9318504890600556
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
accuracy6.586103178410582
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
accuracy7.941784102380983
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
accuracy0.015625
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
accuracy0.05801464469303148
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
accuracy0.06508507069442182
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
accuracy0.1776255877620471
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Samples
91.0ms186×0exit
42.0ms70×0valid
Compiler

Compiled 564 to 61 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-mult: 50.0ms (45% of total)
ival-div: 23.0ms (20.7% of total)
ival-add: 13.0ms (11.7% of total)
ival-log: 5.0ms (4.5% of total)
const: 5.0ms (4.5% of total)
ival-exp: 4.0ms (3.6% of total)
ival-expm1: 4.0ms (3.6% of total)
ival-sub: 3.0ms (2.7% of total)
ival-pow2: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series97.0ms (1%)

Memory
16.7MiB live, 130.5MiB allocated
Counts
22 → 420
Calls
Call 1
Inputs
#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) u) (patch (-.f32 #s(literal 1 binary32) u) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) (patch (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) (patch (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (patch (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))) #<representation binary32>) () ())
#s(alt (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))) (patch (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) (patch #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))) #<representation binary32>) () ())
#s(alt (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)) (patch (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) (patch (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (patch (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)) (patch (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 #s(literal -2 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v))) #<representation binary32>) () ())
#s(alt (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (patch (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())
#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())
Outputs
#s(alt 1 (taylor 0 v) (#s(alt (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (/ (+ (* -1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) (* 1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) v) (taylor 0 v) (#s(alt (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) (patch (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))))) (taylor -inf u) (#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
27.0ms
u
@0
((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (* (/ 2 v) -2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (* (- (exp (/ 2 v)) 1) v))
21.0ms
v
@0
((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (* (/ 2 v) -2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (* (- (exp (/ 2 v)) 1) v))
4.0ms
v
@-inf
((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (* (/ 2 v) -2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (* (- (exp (/ 2 v)) 1) v))
4.0ms
u
@-inf
((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (* (/ 2 v) -2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (* (- (exp (/ 2 v)) 1) v))
4.0ms
u
@inf
((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (- 1 u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (* (/ 2 v) -2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (exp (/ -2 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (exp (/ 2 v)) 1) (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (* (- (exp (/ 2 v)) 1) v))

simplify202.0ms (2.1%)

Memory
-12.4MiB live, 295.4MiB allocated
Algorithm
1×egg-herbie
Rules
9 070×lower-fma.f64
9 070×lower-fma.f32
5 144×lower-*.f64
5 144×lower-*.f32
3 940×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070010066
120429516
264249460
081898331
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
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))))))
(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))))
(+ 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 (* 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))))))
(* 1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) v))
(/ (+ (* -1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) (* 1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) v)
(/ (+ (* -1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) (* 1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) v)
(/ (+ (* -1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) (* 1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) v)
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))))))
(* 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)))))
(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 v)
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(/ -4 v)
(/ -4 v)
(/ -4 v)
(/ -4 v)
(/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))
(/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))
(/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))
(/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))
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
(- (* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1))) 1)
(- (* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1))) 1)
(- (* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1))) 1)
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 v))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
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(-.f32 (*.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) v (*.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32))) u))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* 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 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 v u)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) u)) (neg.f32 u)))
(+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))
(-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (exp (/ -2 v)) (* u (- (exp (/ -2 v)) 1))))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 (fma.f32 (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) u))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) u) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (*.f32 (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32))) u)) u))
(* u (- (exp (/ 2 v)) 1))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u)
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (neg.f32 u))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (neg.f32 u))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))) (neg.f32 u))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) v (*.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32))) u))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 v u)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) u)) u))
(* -1/2 (/ (* (pow u 2) (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v))))
(*.f32 (*.f32 (*.f32 u u) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))))
(* (pow u 2) (+ (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)))
(*.f32 (fma.f32 (/.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) v (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) (*.f32 u u))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)) u)) (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))))
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (/.f32 (fma.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) u)) u)) (*.f32 u u))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)) u)) (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))))
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (/.f32 (fma.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) u)) u)) (*.f32 u u))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) v (*.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32))) u))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 v u)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) u)) u))
(* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v))))
(*.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))))
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))))))
(*.f32 (fma.f32 (/.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) v (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u)
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))))))
(*.f32 (fma.f32 (/.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) v (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u)
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))))))
(*.f32 (fma.f32 (/.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u) v (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))))) u)

rewrite311.0ms (3.3%)

Memory
31.3MiB live, 374.9MiB allocated
Rules
6 970×lower-*.f64
6 952×lower-*.f32
3 756×lower-/.f64
3 746×lower-/.f32
3 514×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059391
0103366
1405363
23374359
010047355
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 380
Calls
Call 1
Inputs
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(-.f32 #s(literal 1 binary32) u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
(fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))
(*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
Outputs
(*.f32 (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(*.f32 (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))))
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(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))) (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)))) (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))))
(/.f32 (-.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) u) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)))
(/.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) u) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)))))
(/.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) u) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32))) (fma.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))) (fma.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) u) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))) (/.f32 (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))))
(fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) v) (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) u) #s(literal -1/2 binary32) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 #s(literal -1/2 binary32) u) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (*.f32 #s(literal -1/2 binary32) u)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))))
(fma.f32 u (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(pow.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (-.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) (pow.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32))) (fma.f32 (pow.f32 (*.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) u) #s(literal 3 binary32)) #s(literal -1/8 binary32) (pow.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(+.f32 (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(/.f32 (*.f32 (expm1.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) v) (+.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (*.f32 v (expm1.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v)))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))
(/.f32 (*.f32 v (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) (+.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(fma.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) v (neg.f32 v))
(fma.f32 v (exp.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v #s(literal -1 binary32)))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) v) (neg.f32 v))
(+.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 v #s(literal -1 binary32)))

eval175.0ms (1.9%)

Memory
-8.6MiB live, 300.3MiB allocated
Compiler

Compiled 44 383 to 3 277 computations (92.6% saved)

prune221.0ms (2.3%)

Memory
17.3MiB live, 542.0MiB allocated
Pruning

51 alts after pruning (48 fresh and 3 done)

PrunedKeptTotal
New1 052361 088
Fresh121224
Picked325
Done011
Total1 067511 118
Accuracy
99.9%
Counts
1 118 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)))) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (fma.f32 (neg.f32 v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)))))
99.2%
(fma.f32 (-.f32 (log.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (*.f32 u u) u))) (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u u)))) v #s(literal 1 binary32))
✓99.5%
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
96.6%
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
▶99.5%
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
12.3%
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
99.1%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))))
99.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
99.2%
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
99.5%
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
✓99.5%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
12.0%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
6.4%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
10.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) v)) v)) (neg.f32 v))))))
▶10.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
8.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u)))))
11.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 v v) v)) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))))
13.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
8.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
95.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) (*.f32 v (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))))
11.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (*.f32 (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 16 binary32)) #s(literal 24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))) v) #s(literal 1/6 binary32))) v))))
11.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))))
99.1%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)))
94.9%
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))) #s(literal -1 binary32)))
13.1%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
6.4%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
8.9%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
▶86.0%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
4.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u v) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (*.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
5.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
6.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
9.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 #s(literal 4 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
13.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
10.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (/.f32 (fma.f32 (fma.f32 #s(literal 28/3 binary32) u (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32) #s(literal -2/3 binary32)) v)) v)) v))) u #s(literal -1 binary32)))
6.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 #s(literal 24 binary32) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
▶11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
▶11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
8.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
10.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v)) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
✓4.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 3 376 to 1 821 computations (46.1% saved)

simplify174.0ms (1.9%)

Memory
26.8MiB live, 258.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff128
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
cost-diff160
(*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))
cost-diff192
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
cost-diff192
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))
cost-diff128
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
cost-diff160
(*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))
cost-diff192
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
cost-diff192
(fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))))
cost-diff0
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)))))
cost-diff64
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
cost-diff160
(-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))
cost-diff0
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
cost-diff0
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
cost-diff0
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
cost-diff0
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
cost-diff64
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
Rules
15 806×lower-fma.f64
15 782×lower-fma.f32
3 112×lower-+.f64
3 104×lower-+.f32
2 996×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0861254
01411251
12511182
26071119
320951062
470101052
08339939
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)))))
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)))
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))
(-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))
(fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))
#s(literal -2 binary32)
u
#s(literal 2 binary32)
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)
(*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)
(+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32))
(/.f32 #s(literal 4/3 binary32) v)
#s(literal 4/3 binary32)
(neg.f32 v)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
(-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v))
(/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
#s(literal 4 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#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))
#s(literal -2 binary32)
(/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)
(fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))))
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v)
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))
#s(literal 16 binary32)
#s(literal -24 binary32)
(*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))
#s(literal 8 binary32)
v
#s(literal 1/6 binary32)
(*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))
#s(literal -1/2 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal -2 binary32)
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)
(-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v))
(*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))
#s(literal -1/2 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
(/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v)
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
#s(literal -96 binary32)
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #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)))
#s(literal -112 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))
#s(literal 192 binary32)
(*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))
#s(literal 16 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))
#s(literal -1/6 binary32)
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))
#s(literal -24 binary32)
(*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))
#s(literal 8 binary32)
Outputs
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 u (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal -2 binary32)) #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)))))
(*.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 u (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal -2 binary32)) #s(literal -2 binary32)) v))) v)
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 u (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal -2 binary32)) #s(literal -2 binary32)) v)))
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)))
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 u (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal -2 binary32)) #s(literal -2 binary32)) v))
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))
(/.f32 (fma.f32 u (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal -2 binary32)) #s(literal -2 binary32)) v)
(-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))
(fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) u #s(literal 2 binary32))
(fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))
(fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))
#s(literal -2 binary32)
u
#s(literal 2 binary32)
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)
(*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)
(+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32))
(/.f32 #s(literal 4/3 binary32) v)
#s(literal 4/3 binary32)
(neg.f32 v)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (-.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -3 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) #s(literal 1/6 binary32)) v))) v)))
(-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v))
(-.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -3 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) #s(literal 1/6 binary32)) v))) v))
(/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(/.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) u #s(literal -3 binary32)))
(fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
(fma.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
#s(literal 4 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 u #s(literal 1 binary32)) (-.f32 u #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal -1 binary32)
(fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
(fma.f32 #s(literal 2 binary32) u #s(literal -3 binary32))
#s(literal -2 binary32)
(/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) #s(literal 1/6 binary32)) v))) v)
(fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) (/.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) #s(literal 1/6 binary32)) v)))
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v)
(*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) v) (-.f32 #s(literal 1 binary32) u))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))
(fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32))
#s(literal 16 binary32)
#s(literal -24 binary32)
(*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))
#s(literal 8 binary32)
v
#s(literal 1/6 binary32)
(*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))
(*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) u)
#s(literal -1/2 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
(*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32)) u)
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) u)
#s(literal -4 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) u (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -192 binary32) u #s(literal 80 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) v) (*.f32 (-.f32 u #s(literal 1 binary32)) (fma.f32 (fma.f32 #s(literal -8/3 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) v)) v)))
(-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))
(-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) u (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -192 binary32) u #s(literal 80 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) v) (*.f32 (-.f32 u #s(literal 1 binary32)) (fma.f32 (fma.f32 #s(literal -8/3 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) v)) v))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal -2 binary32)
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)
(/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) u (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -192 binary32) u #s(literal 80 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) v) (*.f32 (-.f32 u #s(literal 1 binary32)) (fma.f32 (fma.f32 #s(literal -8/3 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) v)) v)
(-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v))
(fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) u (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -192 binary32) u #s(literal 80 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) v) (*.f32 (-.f32 u #s(literal 1 binary32)) (fma.f32 (fma.f32 #s(literal -8/3 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)))) v))
(*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))
(*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) u)
#s(literal -1/2 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
(*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32)) u)
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) u)
#s(literal -4 binary32)
#s(literal 4 binary32)
(/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)
(/.f32 (fma.f32 (/.f32 #s(literal 1/24 binary32) v) (fma.f32 (fma.f32 (fma.f32 #s(literal -192 binary32) u #s(literal 80 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (*.f32 (fma.f32 (fma.f32 #s(literal -8/3 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)) (-.f32 #s(literal 1 binary32) u))) v)
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 (/.f32 #s(literal 1/24 binary32) v) (fma.f32 (fma.f32 (fma.f32 #s(literal -192 binary32) u #s(literal 80 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (*.f32 (fma.f32 (fma.f32 #s(literal -8/3 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)) (-.f32 #s(literal 1 binary32) u)))
(/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v)
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -192 binary32) u #s(literal 80 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) v)
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -192 binary32) u #s(literal 80 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -96 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
#s(literal -96 binary32)
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (fma.f32 (fma.f32 #s(literal -192 binary32) u #s(literal 80 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 u #s(literal 1 binary32)) (-.f32 u #s(literal 1 binary32)))
(+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32)))
(fma.f32 #s(literal -192 binary32) u #s(literal 80 binary32))
#s(literal -112 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))
(fma.f32 #s(literal -192 binary32) u #s(literal 192 binary32))
#s(literal 192 binary32)
(*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal -16 binary32) u #s(literal 16 binary32))
#s(literal 16 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))
(*.f32 (fma.f32 (fma.f32 #s(literal -8/3 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -4/3 binary32)) (-.f32 #s(literal 1 binary32) u))
#s(literal -1/6 binary32)
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32))
(fma.f32 #s(literal -16 binary32) u #s(literal -8 binary32))
#s(literal -24 binary32)
(*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal -8 binary32) u #s(literal 8 binary32))
#s(literal 8 binary32)

localize226.0ms (2.4%)

Memory
-27.1MiB live, 448.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy5.996451322820867
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
accuracy7.502150765168945
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
accuracy8.934110805441899
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))
accuracy28.433599133156235
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
accuracy0.47265625
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
accuracy5.996451322820867
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
accuracy7.502150765168945
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
accuracy28.2979145853631
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
accuracy0.30078125
(*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)
accuracy0.36328125
(/.f32 #s(literal 4/3 binary32) v)
accuracy10.353733243803886
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)))
accuracy30.578191807365325
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))
accuracy4.475513112639001
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
accuracy0.03515625
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
accuracy0.05801464469303148
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
accuracy0.06508507069442182
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
accuracy0.1776255877620471
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Samples
147.0ms256×0valid
Compiler

Compiled 1 083 to 88 computations (91.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-mult: 32.0ms (27.7% of total)
ival-add: 28.0ms (24.2% of total)
ival-div: 22.0ms (19% of total)
const: 12.0ms (10.4% of total)
ival-log: 7.0ms (6.1% of total)
ival-sub: 5.0ms (4.3% of total)
ival-pow: 3.0ms (2.6% of total)
ival-exp: 2.0ms (1.7% of total)
ival-expm1: 2.0ms (1.7% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.9%)

Memory
9.3MiB live, 108.9MiB allocated
Counts
23 → 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>) () ())
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#s(alt (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) (patch (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (patch (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (patch (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) #<representation binary32>) () ())
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#s(alt (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)) (patch (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)) #<representation binary32>) () ())
#s(alt (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))) (patch (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) (patch (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) (patch (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (patch (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (patch (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))) (patch (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 #s(literal -2 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
#s(alt #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)))) (patch #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))) (patch #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 4/3 binary32) v) (patch (/.f32 #s(literal 4/3 binary32) v) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) (patch (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v))) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (patch (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))) #<representation binary32>) () ())
#s(alt (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (patch (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) #<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 0 v) (#s(alt (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) (patch (fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#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 (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#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 (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#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 (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#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 (* (exp (/ -2 v)) (- 1 u)) (taylor 0 v) (#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 (* (exp (/ -2 v)) (- 1 u)) (taylor 0 v) (#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 (* (exp (/ -2 v)) (- 1 u)) (taylor 0 v) (#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 (* (exp (/ -2 v)) (- 1 u)) (taylor 0 v) (#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 1 (taylor 0 v) (#s(alt #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* (pow u 4) (- (* -1 (/ (- (* 112 (/ 1 u)) 192) u)) 96)) (taylor -inf u) (#s(alt (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (patch (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) #<representation binary32>) () ())) ())
#s(alt (* (pow u 4) (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 u)) 112) u)) 192) u)) 96)) (taylor -inf u) (#s(alt (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (patch (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
11.0ms
v
@0
((+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (* (exp (/ -2 v)) (- 1 u)) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (/ (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (neg v)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4))) (+ (* -4 (- 1 u)) 4) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u))) (exp (/ -2 v)) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/ 4/3 v) (* (+ (/ 4/3 v) 2) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* (- 1 u) (- 1 u)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))))
8.0ms
u
@inf
((+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (* (exp (/ -2 v)) (- 1 u)) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (/ (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (neg v)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4))) (+ (* -4 (- 1 u)) 4) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u))) (exp (/ -2 v)) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/ 4/3 v) (* (+ (/ 4/3 v) 2) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* (- 1 u) (- 1 u)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))))
4.0ms
u
@-inf
((+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (* (exp (/ -2 v)) (- 1 u)) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (/ (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (neg v)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4))) (+ (* -4 (- 1 u)) 4) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u))) (exp (/ -2 v)) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/ 4/3 v) (* (+ (/ 4/3 v) 2) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* (- 1 u) (- 1 u)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))))
3.0ms
u
@0
((+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (* (exp (/ -2 v)) (- 1 u)) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (/ (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (neg v)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4))) (+ (* -4 (- 1 u)) 4) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u))) (exp (/ -2 v)) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/ 4/3 v) (* (+ (/ 4/3 v) 2) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* (- 1 u) (- 1 u)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))))
2.0ms
v
@inf
((+ (* (exp (/ -2 v)) (- 1 u)) u) (+ (* (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) v) 1) (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (* (exp (/ -2 v)) (- 1 u)) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (/ (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (neg v)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4))) (+ (* -4 (- 1 u)) 4) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u))) (exp (/ -2 v)) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/ 4/3 v) (* (+ (/ 4/3 v) 2) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* (- 1 u) (- 1 u)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))))

simplify202.0ms (2.1%)

Memory
-8.7MiB live, 309.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 230×lower-fma.f64
10 230×lower-fma.f32
5 464×lower-*.f64
5 464×lower-*.f32
3 588×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068710263
120249548
263349467
082208475
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 (* 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))))))
(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))))
(* (exp (/ -2 v)) (- 1 u))
(* (exp (/ -2 v)) (- 1 u))
(* (exp (/ -2 v)) (- 1 u))
(* (exp (/ -2 v)) (- 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))))))
(* -4/3 (/ u (pow v 2)))
(/ (- (* -2 (* u v)) (* 4/3 u)) (pow v 2))
(/ (- (* v (- (* v (+ 2 (* -2 u))) (* 2 u))) (* 4/3 u)) (pow v 2))
(/ (- (* v (- (* v (+ 2 (* -2 u))) (* 2 u))) (* 4/3 u)) (pow v 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))))))
(* 4/3 (/ u (pow v 3)))
(/ (+ (* 4/3 u) (* 2 (* u v))) (pow v 3))
(/ (+ (* 4/3 u) (* v (+ (* -1 (* v (+ 2 (* -2 u)))) (* 2 u)))) (pow v 3))
(/ (+ (* 4/3 u) (* v (+ (* -1 (* v (+ 2 (* -2 u)))) (* 2 u)))) (pow v 3))
(* 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)))))
(* 1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) v))
(/ (+ (* -1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) (* 1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) v)
(/ (+ (* -1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) (* 1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) v)
(/ (+ (* -1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) (* 1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) v)
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 v))
(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 v)
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(/ (- (* u (* v (- (exp (/ 2 v)) 1))) 2) v)
(/ 4/3 v)
(/ 4/3 v)
(/ 4/3 v)
(/ 4/3 v)
(* 4/3 (/ u v))
(/ (+ (* 4/3 u) (* 2 (* u v))) v)
(/ (+ (* 4/3 u) (* 2 (* u v))) v)
(/ (+ (* 4/3 u) (* 2 (* u v))) v)
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
(+ 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
(+ 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 (* -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))))))
(* -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)
(- 1 u)
(- (+ 1 (* -2 (/ (- 1 u) v))) u)
(- (+ 1 (+ (* -2 (/ (- 1 u) v)) (* 2 (/ (- 1 u) (pow v 2))))) u)
(- (+ 1 (+ (* -2 (/ (- 1 u) v)) (+ (* -4/3 (/ (- 1 u) (pow v 3))) (* 2 (/ (- 1 u) (pow v 2)))))) 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))))))
(+ 2 (* -2 u))
(+ 2 (+ (* -2 u) (* -2 (/ u v))))
(- (+ 2 (+ (* -2 u) (* -4/3 (/ u (pow v 2))))) (* 2 (/ u v)))
(- (+ 2 (+ (* -2 u) (* -4/3 (/ u (pow v 2))))) (* 2 (/ u v)))
(+ 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 (* -2 u)) v))
(/ (+ (* -1 (+ 2 (* -2 u))) (* 2 (/ u v))) v)
(/ (+ (* -1 (+ 2 (* -2 u))) (+ (* 4/3 (/ u (pow v 2))) (* 2 (/ u v)))) v)
(/ (+ (* -1 (+ 2 (* -2 u))) (+ (* 4/3 (/ u (pow v 2))) (* 2 (/ u v)))) v)
(* -2 (- 1 u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u)))
(+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* 1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) v)))
(+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* 1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) v)))
(+ (* -1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* 1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) 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)))))
(* -2 (/ (- 1 u) v))
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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)))) 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 u) 2) v)
(/ (- (+ (* 2 u) (* 2 (/ u v))) 2) v)
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(/ (- (+ (* 2/3 (/ u (pow v 3))) (+ (* 4/3 (/ u (pow v 2))) (+ (* 2 u) (* 2 (/ u v))))) 2) v)
(/ 4/3 v)
(/ 4/3 v)
(/ 4/3 v)
(/ 4/3 v)
(* 2 u)
(+ (* 4/3 (/ u v)) (* 2 u))
(+ (* 4/3 (/ u v)) (* 2 u))
(+ (* 4/3 (/ u v)) (* 2 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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(+ (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))))))))))
(* u (- (exp (/ 2 v)) 1))
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))
(* u (- (exp (/ 2 v)) (+ 1 (* 2 (/ 1 (* u v))))))
(* u (+ 2 (* 4/3 (/ 1 v))))
(* u (+ 2 (* 4/3 (/ 1 v))))
(* u (+ 2 (* 4/3 (/ 1 v))))
(* u (+ 2 (* 4/3 (/ 1 v))))
(+ 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))))))))))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(+ 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))))))))))
(* -96 (pow u 4))
(* (pow u 4) (- (* 192 (/ 1 u)) 96))
(* (pow u 4) (- (* 192 (/ 1 u)) (+ 96 (/ 112 (pow u 2)))))
(* (pow u 4) (- (+ (* 192 (/ 1 u)) (* 16 (/ 1 (pow u 3)))) (+ 96 (/ 112 (pow u 2)))))
(* -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 (* 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 (- (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))))
(* -1 (* u (exp (/ -2 v))))
(* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u)))))
(* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u)))))
(* -1 (* u (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u)))))
(+ 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 (* u (- 2 (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)))))
(* -1 (* u (- 2 (+ (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) (* 2 (/ 1 u))))))
(* -1 (* u (- 2 (+ (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) (* 2 (/ 1 u))))))
(* -1 (* u (- 2 (+ (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) (* 2 (/ 1 u))))))
(+ 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)))))))
(/ (* u (- 2 (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)))) v)
(* -1 (* u (+ (* -1 (/ (- 2 (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v))) v)) (* 2 (/ 1 (* u v))))))
(* -1 (* u (+ (* -1 (/ (- 2 (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v))) v)) (* 2 (/ 1 (* u v))))))
(* -1 (* u (+ (* -1 (/ (- 2 (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v))) v)) (* 2 (/ 1 (* u v))))))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(* -8/3 (/ (pow u 3) v))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ 2 (* 4 (/ 1 v))) u)) (* 8/3 (/ 1 v)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ 2 (+ (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) u)) (* 4 (/ 1 v)))) u)) (* 8/3 (/ 1 v)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ 2 (+ (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) u)) (* 4 (/ 1 v)))) u)) (* 8/3 (/ 1 v)))))
(* -16 (pow u 3))
(* -1 (* (pow u 3) (- 16 (* 24 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 16 (* -1 (/ (- 24 (* 8 (/ 1 u))) u)))))
(* 2 (pow u 2))
(* (pow u 2) (- 2 (* 2 (/ 1 u))))
(* (pow u 2) (- 2 (* 2 (/ 1 u))))
(* (pow u 2) (- 2 (* 2 (/ 1 u))))
(* 4 u)
(* 4 u)
(* 4 u)
(* 4 u)
(* -192 (pow u 3))
(* -1 (* (pow u 3) (- 192 (* 464 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 192 (* -1 (/ (- 464 (* 368 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 192 (* -1 (/ (+ 464 (* -1 (/ (- 368 (* 96 (/ 1 u))) u))) u)))))
(+ (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))))
(* u (- (exp (/ 2 v)) 1))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(* u (+ 2 (* 4/3 (/ 1 v))))
(* u (+ 2 (* 4/3 (/ 1 v))))
(* u (+ 2 (* 4/3 (/ 1 v))))
(* u (+ 2 (* 4/3 (/ 1 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)))))))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(+ 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)))))))
(* -96 (pow u 4))
(* (pow u 4) (- (* 192 (/ 1 u)) 96))
(* (pow u 4) (- (* -1 (/ (- (* 112 (/ 1 u)) 192) u)) 96))
(* (pow u 4) (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 u)) 112) u)) 192) u)) 96))
Outputs
(+ u (* (exp (/ -2 v)) (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ u (* (exp (/ -2 v)) (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ u (* (exp (/ -2 v)) (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(+ u (* (exp (/ -2 v)) (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(* (exp (/ -2 v)) (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(* (exp (/ -2 v)) (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(* (exp (/ -2 v)) (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(* (exp (/ -2 v)) (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(* -4/3 (/ u (pow v 2)))
(*.f32 (/.f32 u (*.f32 v v)) #s(literal -4/3 binary32))
(/ (- (* -2 (* u v)) (* 4/3 u)) (pow v 2))
(/.f32 (fma.f32 #s(literal -4/3 binary32) u (*.f32 (*.f32 v u) #s(literal -2 binary32))) (*.f32 v v))
(/ (- (* v (- (* v (+ 2 (* -2 u))) (* 2 u))) (* 4/3 u)) (pow v 2))
(/.f32 (fma.f32 #s(literal -4/3 binary32) u (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 v v))
(/ (- (* v (- (* v (+ 2 (* -2 u))) (* 2 u))) (* 4/3 u)) (pow v 2))
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1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(* 4/3 (/ u (pow v 3)))
(*.f32 (/.f32 u (*.f32 (*.f32 v v) v)) #s(literal 4/3 binary32))
(/ (+ (* 4/3 u) (* 2 (* u v))) (pow v 3))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) u) v (*.f32 #s(literal 4/3 binary32) u)) (*.f32 (*.f32 v v) v))
(/ (+ (* 4/3 u) (* v (+ (* -1 (* v (+ 2 (* -2 u)))) (* 2 u)))) (pow v 3))
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v (*.f32 #s(literal 2 binary32) u)) v (*.f32 #s(literal 4/3 binary32) u)) (*.f32 (*.f32 v v) v))
(/ (+ (* 4/3 u) (* v (+ (* -1 (* v (+ 2 (* -2 u)))) (* 2 u)))) (pow v 3))
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v (*.f32 #s(literal 2 binary32) u)) v (*.f32 #s(literal 4/3 binary32) u)) (*.f32 (*.f32 v v) v))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(* 1/6 (/ (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))) v))
(*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32))
(/ (+ (* -1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) (* 1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) v)
(/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/6 binary32))) v)
(/ (+ (* -1/2 (* v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))) (* 1/6 (+ (* 8 (- 1 u)) (* (pow (- 1 u) 2) (- (* 16 (- 1 u)) 24))))) v)
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(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (/.f32 #s(literal -1/3 binary32) u) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (*.f32 (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32))) u)) u))
(* u (- (exp (/ 2 v)) 1))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u)
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(*.f32 (neg.f32 u) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(*.f32 (neg.f32 u) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(*.f32 (neg.f32 u) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 v u)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))
(* u (+ 2 (* 4/3 (/ 1 v))))
(*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)
(* u (+ 2 (* 4/3 (/ 1 v))))
(*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)
(* u (+ 2 (* 4/3 (/ 1 v))))
(*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)
(* u (+ 2 (* 4/3 (/ 1 v))))
(*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) v (*.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32))) u))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 v u)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) u)) u))
(pow u 2)
(*.f32 u u)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u)) u) u)
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u)) u) u)
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u)) u)) u) u)
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) v (*.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32))) u))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.f32 (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (neg.f32 (log.f32 (neg.f32 u)))) v #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 v u)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal 2 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) u)) u))
(* -96 (pow u 4))
(*.f32 (pow.f32 u #s(literal 4 binary32)) #s(literal -96 binary32))
(* (pow u 4) (- (* 192 (/ 1 u)) 96))
(*.f32 (-.f32 (/.f32 #s(literal 192 binary32) u) #s(literal 96 binary32)) (pow.f32 u #s(literal 4 binary32)))
(* (pow u 4) (- (* -1 (/ (- (* 112 (/ 1 u)) 192) u)) 96))
(*.f32 (-.f32 #s(literal -96 binary32) (/.f32 (-.f32 (/.f32 #s(literal 112 binary32) u) #s(literal 192 binary32)) u)) (pow.f32 u #s(literal 4 binary32)))
(* (pow u 4) (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 u)) 112) u)) 192) u)) 96))
(*.f32 (-.f32 #s(literal -96 binary32) (/.f32 (-.f32 #s(literal -192 binary32) (/.f32 (-.f32 (/.f32 #s(literal 16 binary32) u) #s(literal 112 binary32)) u)) u)) (pow.f32 u #s(literal 4 binary32)))

rewrite212.0ms (2.2%)

Memory
19.7MiB live, 286.4MiB allocated
Rules
5 912×lower-fma.f64
5 888×lower-fma.f32
5 744×lower-*.f64
5 724×lower-*.f32
2 678×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086556
0141535
1643519
25853519
08990487
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 400
Calls
Call 1
Inputs
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
(log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u))
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
(-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)))))
(fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v)))
(/.f32 #s(literal 4/3 binary32) v)
(*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))))
Outputs
(*.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
(*.f32 (-.f32 (*.f32 u u) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(*.f32 (fma.f32 (*.f32 u u) u (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))))
(*.f32 (fma.f32 (*.f32 u u) u (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.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)) (neg.f32 u)) (*.f32 u u))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))))
(/.f32 (neg.f32 (-.f32 (*.f32 u u) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) (neg.f32 (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 u u) u (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 u (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 u u) u (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.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)) (neg.f32 u)) (*.f32 u u))))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (*.f32 u u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u)))
(/.f32 (-.f32 (*.f32 u u) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32))) (-.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
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(+.f32 (fma.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal 192 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -112 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))
(+.f32 (fma.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal 192 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -112 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))
(+.f32 (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 #s(literal 192 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -112 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))))
(+.f32 (*.f32 (fma.f32 #s(literal 192 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -112 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 #s(literal 192 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -112 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 16 binary32))) (*.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -96 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal 192 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -112 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))

eval170.0ms (1.8%)

Memory
-56.4MiB live, 347.4MiB allocated
Compiler

Compiled 56 374 to 3 880 computations (93.1% saved)

prune357.0ms (3.8%)

Memory
-3.8MiB live, 399.9MiB allocated
Pruning

60 alts after pruning (55 fresh and 5 done)

PrunedKeptTotal
New1 029231 052
Fresh113243
Picked325
Done033
Total1 043601 103
Accuracy
99.9%
Counts
1 103 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)))) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (fma.f32 (neg.f32 v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)))))
99.2%
(fma.f32 (-.f32 (log.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (*.f32 u u) u))) (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u u)))) v #s(literal 1 binary32))
✓99.5%
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
✓99.5%
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
96.6%
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
12.3%
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
99.1%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))))
99.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
99.2%
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v))) (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v))))
▶99.5%
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
✓99.5%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
6.4%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))))
12.0%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
10.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) v)) v)) (neg.f32 v))))))
10.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 #s(approx (* (+ (/ 4/3 v) 2) u) (*.f32 (/.f32 u v) #s(literal 4/3 binary32))) v)) (neg.f32 v))))))
10.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)))))
10.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 #s(approx (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (/.f32 (fma.f32 #s(literal -4/3 binary32) u (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 v v))) (neg.f32 v))))))
10.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 #s(approx (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (*.f32 (neg.f32 u) (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) u)))) (neg.f32 v))))))
▶10.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))))
8.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u))) u)))))
10.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) #s(approx (/ (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (neg v)) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v (*.f32 #s(literal 2 binary32) u)) v (*.f32 #s(literal 4/3 binary32) u)) (*.f32 (*.f32 v v) v)))))))
11.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 v v) v)) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))))
13.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
8.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
95.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) (*.f32 v (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))))
6.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
11.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32))) v))))
99.1%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)))
94.9%
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))) #s(literal -1 binary32)))
8.9%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
▶11.6%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
✓86.0%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
4.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u v) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (*.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
5.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
▶6.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
9.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 #s(literal 4 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
13.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
10.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (/.f32 (fma.f32 (fma.f32 #s(literal 28/3 binary32) u (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32) #s(literal -2/3 binary32)) v)) v)) v))) u #s(literal -1 binary32)))
▶6.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 #s(literal 24 binary32) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u))) (fma.f32 (fma.f32 #s(literal 464 binary32) u #s(literal -368 binary32)) u #s(literal 96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -96 binary32) u #s(literal 192 binary32)) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
11.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 #s(literal 192 binary32) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 #s(literal 16 binary32) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(approx (* (- 1 u) (- 1 u)) #s(literal 1 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
8.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) #s(approx (* (- 1 u) (- 1 u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u)) u) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
8.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) #s(approx (* (- 1 u) (- 1 u)) (*.f32 u u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
8.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v)) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
✓4.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 4 102 to 2 245 computations (45.3% saved)

simplify233.0ms (2.5%)

Memory
-0.7MiB live, 152.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 u #s(literal -1/2 binary32))
cost-diff0
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
cost-diff0
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
cost-diff128
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
cost-diff192
(+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32)))
cost-diff224
(fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))
cost-diff448
(fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))))
cost-diff0
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))))
cost-diff160
(-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))
cost-diff160
(*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))
cost-diff0
#s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32))
cost-diff0
(fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
cost-diff0
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
cost-diff0
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
cost-diff0
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
cost-diff64
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
Rules
12 670×lower-fma.f64
12 648×lower-fma.f32
4 218×lower-*.f64
4 194×lower-*.f32
2 664×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093916
0147879
1245849
2555818
31926791
44282783
08211738
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
(fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32))
#s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32))
#s(literal 2 binary32)
u
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))))))
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))))
(*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))
(fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))
u
#s(literal -2 binary32)
#s(literal 2 binary32)
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)
(*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)
(+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32))
(/.f32 #s(literal 4/3 binary32) v)
#s(literal 4/3 binary32)
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32)))
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
(/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v))
(fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))))
(*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u))
#s(literal -16 binary32)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u))
#s(literal 24 binary32)
(*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))
#s(literal -8 binary32)
(*.f32 v v)
v
#s(literal 1/6 binary32)
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
#s(literal 2 binary32)
#s(literal -2 binary32)
(fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))
(/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
#s(literal -4 binary32)
#s(literal 4 binary32)
#s(literal 1/2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(*.f32 u #s(literal -1/2 binary32))
u
#s(literal -1/2 binary32)
#s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v))
(/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)
(+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32))
(/.f32 #s(literal 8 binary32) v)
#s(literal 8 binary32)
v
#s(literal 4 binary32)
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#s(literal -1 binary32)
Outputs
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
(fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
(fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32))
#s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32))
#s(literal 2 binary32)
u
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))))
(fma.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) u #s(literal -2 binary32)) v))) v #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))))))
(*.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) u #s(literal -2 binary32)) v))) v)
v
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) u #s(literal -2 binary32)) v)))
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) u #s(literal -2 binary32)) v))
(*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))
(/.f32 (fma.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) u #s(literal -2 binary32)) v)
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))
(fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v)) u #s(literal 2 binary32))
(fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32))
(fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))
u
#s(literal -2 binary32)
#s(literal 2 binary32)
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)
(*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u)
(+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32))
(/.f32 #s(literal 4/3 binary32) v)
#s(literal 4/3 binary32)
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (*.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (/.f32 u v) #s(literal 4 binary32)) #s(literal 1/2 binary32) #s(literal -2 binary32)) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (*.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 (/.f32 u v) #s(literal 4 binary32)) #s(literal 1/2 binary32) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (*.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
(/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v))
(/.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 v v))
(fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))))
(*.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) u #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal 16 binary32) u #s(literal -16 binary32))
#s(literal -16 binary32)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 u #s(literal 1 binary32)) (-.f32 u #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (fma.f32 #s(literal -24 binary32) u #s(literal 16 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal -24 binary32) u #s(literal 24 binary32))
#s(literal 24 binary32)
(*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))
(fma.f32 #s(literal 8 binary32) u #s(literal -8 binary32))
#s(literal -8 binary32)
(*.f32 v v)
v
#s(literal 1/6 binary32)
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
#s(literal 2 binary32)
#s(literal -2 binary32)
(fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 u (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))
(/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v)
(/.f32 (*.f32 u (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32))) v)
(*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 u (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) u)
#s(literal -4 binary32)
#s(literal 4 binary32)
#s(literal 1/2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 #s(literal -1/2 binary32) u) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(fma.f32 (fma.f32 #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 #s(literal -1/2 binary32) u) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(fma.f32 #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 #s(literal -1/2 binary32) u) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(*.f32 u #s(literal -1/2 binary32))
(*.f32 #s(literal -1/2 binary32) u)
u
#s(literal -1/2 binary32)
#s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v))
(/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)
(+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32))
(/.f32 #s(literal 8 binary32) v)
#s(literal 8 binary32)
v
#s(literal 4 binary32)
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(expm1.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#s(literal -1 binary32)

localize301.0ms (3.2%)

Memory
-5.3MiB live, 236.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.21787560448515447
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
accuracy5.518803729115032
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
accuracy7.47721812338429
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
accuracy7.55588009610902
#s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v))
accuracy0.150722509768442
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
accuracy1.6211388099781967
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
accuracy1.9859375390786806
(fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))))
accuracy6.586103178410582
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
accuracy0.1015625
(/.f32 #s(literal 4/3 binary32) v)
accuracy0.10546875
(*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))
accuracy7.110992743152733
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))))
accuracy7.629531678057063
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))
accuracy0.028601281620653757
(fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32))
accuracy7.47721812338429
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
accuracy8.095344059439919
#s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32))
accuracy0.05535126953688403
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
accuracy0.05801464469303148
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
accuracy0.0703125
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
accuracy0.1776255877620471
(exp.f32 (/.f32 #s(literal -2 binary32) v))
Samples
157.0ms186×0exit
45.0ms70×0valid
Compiler

Compiled 699 to 80 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-add: 54.0ms (30.2% of total)
const: 44.0ms (24.6% of total)
ival-mult: 33.0ms (18.5% of total)
ival-div: 28.0ms (15.7% of total)
ival-log: 5.0ms (2.8% of total)
ival-exp: 4.0ms (2.2% of total)
ival-expm1: 4.0ms (2.2% of total)
ival-sub: 3.0ms (1.7% of total)
ival-pow2: 2.0ms (1.1% 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)

series89.0ms (1%)

Memory
23.1MiB live, 99.9MiB allocated
Counts
27 → 552
Calls
Call 1
Inputs
#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) (patch (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #<representation binary32>) () ())
#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)) (patch (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) (patch #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))) (patch (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))) #<representation binary32>) () ())
#s(alt (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (patch (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))))))) #<representation binary32>) () ())
#s(alt (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))) (patch (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (patch (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (patch (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) #<representation binary32>) () ())
#s(alt (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))) (patch (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (patch (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)) (patch (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) (patch (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) #<representation binary32>) () ())
#s(alt (*.f32 u #s(literal -1/2 binary32)) (patch (*.f32 u #s(literal -1/2 binary32)) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 #s(literal -2 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -2 binary32) v)) #<representation binary32>) () ())
#s(alt #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))))) (patch #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))) (patch #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 4/3 binary32) v) (patch (/.f32 #s(literal 4/3 binary32) v) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32)))) (patch #s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (patch (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (patch #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) #<representation binary32>) () ())
#s(alt (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) (patch (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v) #<representation binary32>) () ())
Outputs
#s(alt 1 (taylor 0 v) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#s(alt (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) (patch (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #<representation binary32>) () ())) ())
#s(alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#s(alt (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) (patch (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #<representation binary32>) () ())) ())
#s(alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#s(alt (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) (patch (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #<representation binary32>) () ())) ())
#s(alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#s(alt (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) (patch (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #<representation binary32>) () ())) ())
#s(alt (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (log (+ u (* (exp (/ -2 v)) (- 1 u)))) (taylor 0 v) (#s(alt (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) (patch (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #<representation binary32>) () ())) ())
#s(alt (+ u (* (exp (/ -2 v)) (- 1 u))) (taylor 0 v) (#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #<representation binary32>) () ())) ())
#s(alt (+ u (* (exp (/ -2 v)) (- 1 u))) (taylor 0 v) (#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #<representation binary32>) () ())) ())
#s(alt (+ u (* (exp (/ -2 v)) (- 1 u))) (taylor 0 v) (#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #<representation binary32>) () ())) ())
#s(alt (+ u (* (exp (/ -2 v)) (- 1 u))) (taylor 0 v) (#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) 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 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) 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 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) 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 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt -1 (taylor 0 v) (#s(alt (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)) (patch (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1))) 1) (taylor 0 v) (#s(alt (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)) (patch (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1))) 1) (taylor 0 v) (#s(alt (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)) (patch (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (* u (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1))) 1) (taylor 0 v) (#s(alt (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)) (patch (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1)) (taylor 0 v) (#s(alt #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) (patch #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1)) (taylor 0 v) (#s(alt #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) (patch #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1)) (taylor 0 v) (#s(alt #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) (patch #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* v (- (+ (exp (/ 2 v)) (* -1/2 (/ (* u (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))) 1)) (taylor 0 v) (#s(alt #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) (patch #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 4/3 (/ u (pow v 3))) (taylor 0 v) (#s(alt (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))) (patch (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 4/3 u) (* 2 (* u v))) (pow v 3)) (taylor 0 v) (#s(alt (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))) (patch (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 4/3 u) (* v (+ (* -1 (* v (+ 2 (* -2 u)))) (* 2 u)))) (pow v 3)) (taylor 0 v) (#s(alt (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))) (patch (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
16.0ms
u
@0
((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (* (/ -1 v) (- (+ (* u -2) 2) (/ (* (+ (/ 4/3 v) 2) u) v))) (- (+ (* u -2) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u))) (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (+ (* -4 (- 1 u)) 4) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (* u -1/2) (exp (/ -2 v)) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/ 4/3 v) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (* (- (exp (/ 2 v)) 1) v))
13.0ms
v
@0
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4.0ms
u
@inf
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4.0ms
u
@-inf
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2.0ms
v
@inf
((+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (+ (* (- 1 u) (exp (/ -2 v))) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (* (/ -1 v) (- (+ (* u -2) 2) (/ (* (+ (/ 4/3 v) 2) u) v))) (- (+ (* u -2) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u))) (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (+ (* -4 (- 1 u)) 4) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (* u -1/2) (exp (/ -2 v)) (log (+ u (* (- 1 u) (exp (/ -2 v))))) (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/ 4/3 v) (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (* (- (exp (/ 2 v)) 1) v))

simplify383.0ms (4.1%)

Memory
12.0MiB live, 289.3MiB allocated
Algorithm
1×egg-herbie
Rules
10 264×lower-fma.f64
10 264×lower-fma.f32
5 484×lower-*.f64
5 484×lower-*.f32
4 730×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085013617
1255912930
0822711679
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
1
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(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
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(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(log (+ u (* (exp (/ -2 v)) (- 1 u))))
(+ 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 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
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-1
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1
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1
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2
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1
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2
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1
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(/ 4/3 v)
(/.f32 #s(literal 4/3 binary32) v)
(/ 4/3 v)
(/.f32 #s(literal 4/3 binary32) v)
(/ 4/3 v)
(/.f32 #s(literal 4/3 binary32) v)
(+ 1 (* -2 (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
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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 (+ (* -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))))
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(- (* 2 u) 2)
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
(- (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 2 u)) 2)
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(- (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 2 u)) 2)
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(- (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 2 u)) 2)
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(/ 4 v)
(/.f32 #s(literal 4 binary32) v)
(/ (+ 4 (* 8 (/ 1 v))) v)
(/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)
(* -1 (/ (- (* -1 (/ (+ 8 (* 28/3 (/ 1 v))) v)) 4) v))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) (neg.f32 v)) #s(literal 4 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 8 (+ (* 28/3 (/ 1 v)) (/ 8 (pow v 2)))) v)) 4) v))
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2
#s(literal 2 binary32)
(+ 2 (* 2 (/ 1 v)))
(+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32))
(+ 2 (+ (* 2 (/ 1 v)) (/ 4/3 (pow v 2))))
(+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 4/3 (* 2/3 (/ 1 v))) v)) 2) v)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) (neg.f32 v)) #s(literal 2 binary32)) 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 u 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)
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(- (* 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)
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-2
#s(literal -2 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2))) (pow (exp (/ -2 v)) 2))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
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(- (* u (+ (* u (+ (* -1/2 (/ (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (* 1/3 (/ (* u (* v (pow (+ 1 (* -1 (exp (/ -2 v)))) 3))) (pow (exp (/ -2 v)) 3))))) (* v (- (/ 1 (exp (/ -2 v))) 1)))) 2)
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(/ -2 v)
(/.f32 #s(literal -2 binary32) v)
(- (* u (- (/ 1 (exp (/ -2 v))) 1)) (* 2 (/ 1 v)))
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(- (* u (- (+ (* -1/2 (/ (* u (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)) (pow (exp (/ -2 v)) 2))) (/ 1 (exp (/ -2 v)))) 1)) (* 2 (/ 1 v)))
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(- (* 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)))
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(exp (/ -2 v))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(+ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))
(fma.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u (exp.f32 (/.f32 #s(literal -2 binary32) 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 u 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)
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-1
#s(literal -1 binary32)
(- (* u (* v (- (exp (/ 2 v)) 1))) 1)
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -1 binary32))
(- (* u (+ (* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))) 1)
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(- (* u (+ (* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))) 1)
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(* v (- (exp (/ 2 v)) 1))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(+ (* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))
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(+ (* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))
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(+ (* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v)))) (* v (- (exp (/ 2 v)) 1)))
(fma.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(/ -2 v)
(/.f32 #s(literal -2 binary32) v)
(- (* u (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* 4/3 (/ 1 (pow v 3)))))) (* 2 (/ 1 v)))
(fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 (*.f32 v v) v)) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(- (* u (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* 4/3 (/ 1 (pow v 3)))))) (* 2 (/ 1 v)))
(fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 (*.f32 v v) v)) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
(- (* u (+ (* 2 (/ 1 v)) (+ (* 2 (/ 1 (pow v 2))) (* 4/3 (/ 1 (pow v 3)))))) (* 2 (/ 1 v)))
(fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 (*.f32 v v) v)) (/.f32 #s(literal 2 binary32) (*.f32 v v))) (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v))
2
#s(literal 2 binary32)
(+ 2 (* -1 (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))))
(-.f32 #s(literal 2 binary32) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
(+ 2 (* -1 (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))))
(-.f32 #s(literal 2 binary32) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
(+ 2 (* -1 (* u (+ 2 (+ (* 4/3 (/ 1 (pow v 2))) (* 2 (/ 1 v)))))))
(-.f32 #s(literal 2 binary32) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
-1
#s(literal -1 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 1)
(fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u 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)
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(- (* 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)
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-2
#s(literal -2 binary32)
(- (* u (* v (- (/ 1 (exp (/ -2 v))) 1))) 2)
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(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(fma.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)) (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v #s(literal 1 binary32)))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) v (*.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) v) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32))) u)))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) v) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) u)) #s(literal -1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) u)) u)))
(* -1/2 (/ (* (pow u 2) (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v))))
(*.f32 (*.f32 (*.f32 u u) #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 #s(literal -4 binary32) v)))))
(* (pow u 2) (+ (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))) (/ (* v (- (exp (/ 2 v)) 1)) u)))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v u))) (*.f32 u u))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)) u)) (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))))
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (/.f32 (fma.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) u)) u)) (*.f32 u u))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* v (- (exp (/ 2 v)) 1))) (/ 1 u)) u)) (* -1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v))))))
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (/.f32 (fma.f32 (neg.f32 v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) u)) u)) (*.f32 u u))
(* -1/2 (/ (* u (* v (pow (- 1 (exp (/ -2 v))) 2))) (exp (/ -4 v))))
(*.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (/.f32 #s(literal -4 binary32) v)))))
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))))))
(*.f32 (neg.f32 u) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) v) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v u))))
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))))))
(*.f32 (neg.f32 u) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) v) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v u))))
(* -1 (* u (+ (* -1 (/ (* v (- (exp (/ 2 v)) 1)) u)) (* 1/2 (/ (* v (pow (- 1 (exp (/ -2 v))) 2)) (exp (/ -4 v)))))))
(*.f32 (neg.f32 u) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) v) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal -4 binary32) v)))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v u))))
(* -1/2 u)
(*.f32 #s(literal -1/2 binary32) u)
(* -1/2 u)
(*.f32 #s(literal -1/2 binary32) u)
(* -1/2 u)
(*.f32 #s(literal -1/2 binary32) u)
(* -1/2 u)
(*.f32 #s(literal -1/2 binary32) 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 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (fma.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) u))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) u)) #s(literal -1/3 binary32) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32))) u)) u))
(* u (- (exp (/ 2 v)) 1))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u)
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(*.f32 (neg.f32 u) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(*.f32 (neg.f32 u) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))
(* -1 (* u (+ (* -1 (- (exp (/ 2 v)) 1)) (* 2 (/ 1 (* u v))))))
(*.f32 (neg.f32 u) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 u v)) (expm1.f32 (/.f32 #s(literal 2 binary32) v))))
(+ 1 (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(fma.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) u)) (fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v #s(literal 1 binary32)))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) v (*.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) v) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32)) u)) #s(literal 1/2 binary32))) u)))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(fma.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) v (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) v) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) v) (*.f32 (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 3 binary32)) u)) #s(literal -1/3 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 #s(literal -2 binary32) v))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))))) u)) u)))
(* 8/3 (/ (pow u 3) (pow v 2)))
(*.f32 (*.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) u) (*.f32 u u))
(* -1 (* (pow u 3) (- (* 4 (/ 1 (* u (pow v 2)))) (* 8/3 (/ 1 (pow v 2))))))
(*.f32 (neg.f32 (-.f32 (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v v) u)) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) (*.f32 (*.f32 u u) u))
(* -1 (* (pow u 3) (- (* -1 (/ (- (+ (* 2 (/ 1 u)) (/ 4/3 (* u (pow v 2)))) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))))
(*.f32 (neg.f32 (-.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 (*.f32 v v) u)) (/.f32 #s(literal 2 binary32) u)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) (neg.f32 u)) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) (*.f32 (*.f32 u u) u))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 u)) (+ 2 (* 4/3 (/ 1 (pow v 2))))) u)) (* 4 (/ 1 (pow v 2)))) u)) (* 8/3 (/ 1 (pow v 2))))))
(*.f32 (*.f32 (neg.f32 u) (*.f32 u u)) (-.f32 (neg.f32 (-.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 4/3 binary32) (*.f32 v v)))) (*.f32 u u)) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 v v) u)))) (/.f32 #s(literal 8/3 binary32) (*.f32 v v))))

rewrite389.0ms (4.1%)

Memory
16.4MiB live, 248.3MiB allocated
Rules
5 156×lower-*.f64
5 132×lower-*.f32
4 922×lower-fma.f64
4 900×lower-fma.f32
2 334×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093727
0147685
1579668
25063661
08129626
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 465
Calls
Call 1
Inputs
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
(*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v)
(log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
(fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32))
#s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))
(-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))))
(*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))))))
(fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))))
(fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))
(+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32)))
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32))
(fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v))
(*.f32 u #s(literal -1/2 binary32))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
#s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))
#s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v))))
(/.f32 #s(literal 4/3 binary32) v)
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
#s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
Outputs
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(*.f32 (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal -1 binary32))))
(*.f32 (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal -1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)))
(/.f32 (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal -1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(-.f32 (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (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 (*.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))
(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 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32) #s(literal 1 binary32))
(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 (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 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 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 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) (fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)) (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))
(*.f32 (*.f32 #s(literal 1 binary32) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))) v)
(*.f32 (*.f32 #s(literal 1 binary32) v) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))
(*.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 1 binary32))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) (*.f32 v #s(literal 1 binary32)))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(*.f32 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)))
(*.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 (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))
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (log.f32 (neg.f32 (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))))
(-.f32 (log.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.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 (neg.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (*.f32 u u) u)))) (log.f32 (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 (log.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (*.f32 u u) u)))) (log.f32 (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))))))))
(-.f32 (log.f32 (-.f32 (*.f32 u u) (*.f32 (exp.f32 (/.f32 #s(literal -4 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)))))
(-.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.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 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (*.f32 u u) u))) (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u u))))
(-.f32 (log.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (*.f32 u u) u))) (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 u (-.f32 u (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)))))))
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(+.f32 (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
(+.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(+.f32 #s(literal -2 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) (*.f32 #s(literal 2 binary32) u)))
#s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v))
(*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)
(*.f32 v (expm1.f32 (/.f32 #s(literal 2 binary32) v)))
(/.f32 (*.f32 (expm1.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) v) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) v) (+.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (*.f32 v (expm1.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v)))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)))
(/.f32 (*.f32 v (expm1.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32)))) (+.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal -4 binary32) v))) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(fma.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) v (neg.f32 v))
(fma.f32 v (exp.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 v #s(literal -1 binary32)))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) v) (neg.f32 v))
(+.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 v #s(literal -1 binary32)))

eval178.0ms (1.9%)

Memory
-28.1MiB live, 176.0MiB allocated
Compiler

Compiled 44 719 to 2 788 computations (93.8% saved)

prune453.0ms (4.8%)

Memory
4.2MiB live, 439.9MiB allocated
Pruning

69 alts after pruning (61 fresh and 8 done)

PrunedKeptTotal
New999181 017
Fresh74350
Picked235
Done055
Total1 008691 077
Accuracy
99.9%
Counts
1 077 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)))) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (fma.f32 (neg.f32 v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)))))
99.2%
(fma.f32 (-.f32 (log.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (*.f32 u u) u))) (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u u)))) v #s(literal 1 binary32))
✓99.5%
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
✓99.5%
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
96.6%
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
12.3%
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
99.1%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))))
99.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
99.2%
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v))) (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v))))
✓99.5%
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
6.4%
(+.f32 (*.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)) v) #s(literal 1 binary32))
8.9%
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32))) #s(literal 1 binary32))
6.4%
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
✓99.5%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
12.0%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
10.5%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) v)) v)) (neg.f32 v))))))
10.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 #s(approx (* (+ (/ 4/3 v) 2) u) (*.f32 (/.f32 u v) #s(literal 4/3 binary32))) v)) (neg.f32 v))))))
10.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 #s(approx (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (/.f32 (fma.f32 #s(literal -4/3 binary32) u (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 v v))) (neg.f32 v))))))
10.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 #s(approx (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (*.f32 (neg.f32 u) (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) u)))) (neg.f32 v))))))
✓10.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))))
12.0%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(approx (- (+ (* u -2) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal -2 binary32) #s(literal 2 binary32))))))))
8.7%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u))) u)))))
10.9%
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) #s(approx (/ (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (neg v)) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v (*.f32 #s(literal 2 binary32) u)) v (*.f32 #s(literal 4/3 binary32) u)) (*.f32 (*.f32 v v) v)))))))
11.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 v v) v)) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))))
95.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) (*.f32 v (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))))
11.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32))) v))))
99.1%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)))
94.9%
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))) #s(literal -1 binary32)))
11.6%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)))))
8.9%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
10.7%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(approx (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u))) #s(literal 16 binary32))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
11.6%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (/.f32 #s(approx (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) u #s(literal -24 binary32)) u #s(literal 8 binary32)) u)) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
11.6%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) 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 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32)))
11.6%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -4 binary32)) (*.f32 v v) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32)) (*.f32 v v))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
13.1%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 #s(approx (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
8.6%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (fma.f32 (-.f32 (fma.f32 #s(literal 8/3 binary32) (/.f32 u (*.f32 v v)) (/.f32 #s(literal -2 binary32) v)) (/.f32 #s(literal 4 binary32) (*.f32 v v))) u (/.f32 #s(literal 2 binary32) v))) u #s(literal -1 binary32))))
11.0%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u #s(literal -1 binary32))))
13.1%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
11.6%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) v)) v (*.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32))) (*.f32 v v))))
8.8%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (*.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))
2.1%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) u)) u) (*.f32 u u))))
✓86.0%
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
4.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u v) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (*.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
5.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
5.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
8.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) #s(approx (* (- (exp (/ 2 v)) 1) v) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v)))) u #s(literal -1 binary32)))
9.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 #s(literal 4 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
6.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (*.f32 #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 #s(literal -1/2 binary32) u))) u #s(literal -1 binary32)))
13.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
10.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (/.f32 (fma.f32 (fma.f32 #s(literal 28/3 binary32) u (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32) #s(literal -2/3 binary32)) v)) v)) v))) u #s(literal -1 binary32)))
✓6.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 #s(literal 24 binary32) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -96 binary32) u #s(literal 192 binary32)) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
11.3%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 #s(literal 192 binary32) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 #s(literal 16 binary32) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
11.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
11.5%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.0%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(approx (* (- 1 u) (- 1 u)) #s(literal 1 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
8.9%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) #s(approx (* (- 1 u) (- 1 u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u)) u) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
8.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) #s(approx (* (- 1 u) (- 1 u)) (*.f32 u u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
8.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
11.2%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v)) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
✓4.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 5 822 to 1 856 computations (68.1% saved)

regimes232.0ms (2.5%)

Memory
14.0MiB live, 166.6MiB allocated
Counts
107 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (*.f32 #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 #s(literal -1/2 binary32) u))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
(+.f32 #s(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))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u))) (fma.f32 (fma.f32 #s(literal 464 binary32) u #s(literal -368 binary32)) u #s(literal 96 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 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -112 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 192 binary32))) (*.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 v v) v)) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)))) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (-.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) #s(literal 1 binary32))))
(fma.f32 (-.f32 (log.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 3 binary32))) (*.f32 (*.f32 u u) u))) (log.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u u)))) v #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal -1 binary32)) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))) (+.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 3 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))) (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v))) (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u v) (pow.f32 (/.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32))) #s(literal 1/3 binary32) (*.f32 (*.f32 (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)) (/.f32 v (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) u (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32))) (*.f32 (fma.f32 (neg.f32 v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)))) (pow.f32 (fma.f32 (neg.f32 v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)))) (fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 2 binary32)) (fma.f32 (neg.f32 v) (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 v (fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.f32 (*.f32 u u) (pow.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (+.f32 (log.f32 u) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))) (*.f32 v (fma.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 u u) u)) (pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v))) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))))
Outputs
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
Calls

4 calls:

85.0ms
v
63.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
54.0ms
u
23.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
99.5%1u
99.5%1v
99.5%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
99.5%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes122.0ms (1.3%)

Memory
15.8MiB live, 215.1MiB allocated
Counts
89 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))))
(+.f32 (*.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)) v) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) v)) v (*.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/6 binary32))) (*.f32 v v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(approx (* (- 1 u) (- 1 u)) #s(literal 1 binary32)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) #s(literal 1/2 binary32))) v)) (neg.f32 v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) #s(approx (* (- 1 u) (- 1 u)) (*.f32 u u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 #s(literal 16 binary32) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 #s(literal 192 binary32) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -4 binary32)) (*.f32 v v) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32)) (*.f32 v v))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) #s(approx (* (- 1 u) (- 1 u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u)) u) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -96 binary32) u #s(literal 192 binary32)) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u))) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 #s(literal 4 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (*.f32 #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 #s(literal -1/2 binary32) u))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
Outputs
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
Calls

4 calls:

38.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
27.0ms
u
26.0ms
(+.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)))))))
26.0ms
v
Results
AccuracySegmentsBranch
99.5%1u
99.5%1v
99.5%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
99.5%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes128.0ms (1.4%)

Memory
-20.2MiB live, 174.2MiB allocated
Counts
87 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))))
(+.f32 (*.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)) v) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 #s(approx (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(approx (- (+ (* u -2) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal -2 binary32) #s(literal 2 binary32))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v)) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) #s(approx (/ (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (neg v)) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v (*.f32 #s(literal 2 binary32) u)) v (*.f32 #s(literal 4/3 binary32) u)) (*.f32 (*.f32 v v) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 #s(approx (* (+ (/ 4/3 v) 2) u) (*.f32 (/.f32 u v) #s(literal 4/3 binary32))) v)) (neg.f32 v))))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)))))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 #s(approx (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (/.f32 (fma.f32 #s(literal -4/3 binary32) u (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 v v))) (neg.f32 v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 #s(approx (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (*.f32 (neg.f32 u) (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) u)))) (neg.f32 v))))))
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(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u))) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 #s(literal 4 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (*.f32 #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 #s(literal -1/2 binary32) u))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
Outputs
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
Calls

4 calls:

44.0ms
u
35.0ms
v
22.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
20.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
96.6%1u
96.6%1v
96.6%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
96.6%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes95.0ms (1%)

Memory
30.3MiB live, 186.8MiB allocated
Counts
85 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))))
(+.f32 (*.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)) v) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 #s(approx (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(approx (- (+ (* u -2) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal -2 binary32) #s(literal 2 binary32))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v)) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) #s(approx (/ (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (neg v)) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v (*.f32 #s(literal 2 binary32) u)) v (*.f32 #s(literal 4/3 binary32) u)) (*.f32 (*.f32 v v) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 #s(approx (* (+ (/ 4/3 v) 2) u) (*.f32 (/.f32 u v) #s(literal 4/3 binary32))) v)) (neg.f32 v))))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)))))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 #s(approx (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (/.f32 (fma.f32 #s(literal -4/3 binary32) u (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 v v))) (neg.f32 v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 #s(approx (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (*.f32 (neg.f32 u) (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) u)))) (neg.f32 v))))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (*.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 #s(literal 24 binary32) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 #s(literal 192 binary32) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -4 binary32)) (*.f32 v v) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32)) (*.f32 v v))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) #s(approx (* (- 1 u) (- 1 u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u)) u) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -96 binary32) u #s(literal 192 binary32)) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 u v))) u)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) (*.f32 v u))) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 #s(literal 4 binary32) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v (*.f32 #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 #s(literal -1/2 binary32) u))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 28/3 binary32) v) #s(literal 8 binary32)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 8 binary32) (*.f32 v v))) (/.f32 #s(literal 28/3 binary32) v)) v)) (neg.f32 v))) (*.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) v)) u #s(literal -1 binary32)))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -96 binary32) u #s(literal 192 binary32)) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
Calls

4 calls:

23.0ms
v
23.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
22.0ms
u
21.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
86.0%1u
89.5%2v
89.4%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
89.4%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes94.0ms (1%)

Memory
-40.4MiB live, 131.1MiB allocated
Counts
77 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))))
(+.f32 (*.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)) v) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 #s(approx (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(approx (- (+ (* u -2) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal -2 binary32) #s(literal 2 binary32))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v)) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) #s(approx (/ (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (neg v)) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v (*.f32 #s(literal 2 binary32) u)) v (*.f32 #s(literal 4/3 binary32) u)) (*.f32 (*.f32 v v) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 #s(approx (* (+ (/ 4/3 v) 2) u) (*.f32 (/.f32 u v) #s(literal 4/3 binary32))) v)) (neg.f32 v))))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 #s(literal 16 binary32) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 #s(literal 192 binary32) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -4 binary32)) (*.f32 v v) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32)) (*.f32 v v))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) #s(approx (* (- 1 u) (- 1 u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u)) u) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 #s(literal 192 binary32) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
Calls

3 calls:

44.0ms
(+.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)))))))
24.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
20.0ms
v
Results
AccuracySegmentsBranch
89.2%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
89.2%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
89.3%2v
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes62.0ms (0.7%)

Memory
12.9MiB live, 170.0MiB allocated
Counts
73 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))))
(+.f32 (*.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)) v) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 #s(approx (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(approx (- (+ (* u -2) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal -2 binary32) #s(literal 2 binary32))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v)) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
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(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) #s(literal 1/2 binary32))) v)) (neg.f32 v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) #s(approx (* (- 1 u) (- 1 u)) (*.f32 u u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 #s(literal 16 binary32) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (fma.f32 (*.f32 u u) #s(literal 4 binary32) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal 2 binary32))) (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 24 binary32)) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (*.f32 u v) (expm1.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 u v) #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u u) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
Calls

3 calls:

19.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) 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)))))))
18.0ms
v
Results
AccuracySegmentsBranch
86.0%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
86.0%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
89.2%2v
Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes16.0ms (0.2%)

Memory
7.3MiB live, 45.7MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))))
(+.f32 (*.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)) v) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 #s(approx (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(approx (- (+ (* u -2) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal -2 binary32) #s(literal 2 binary32))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v)) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) #s(approx (/ (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (neg v)) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v (*.f32 #s(literal 2 binary32) u)) v (*.f32 #s(literal 4/3 binary32) u)) (*.f32 (*.f32 v v) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 #s(approx (* (+ (/ 4/3 v) 2) u) (*.f32 (/.f32 u v) #s(literal 4/3 binary32))) v)) (neg.f32 v))))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)))))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 #s(approx (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (/.f32 (fma.f32 #s(literal -4/3 binary32) u (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 v v))) (neg.f32 v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 #s(approx (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (*.f32 (neg.f32 u) (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) u)))) (neg.f32 v))))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (*.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 #s(literal 24 binary32) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) u)) u) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (/.f32 #s(approx (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 #s(literal 16 binary32) u #s(literal -24 binary32)) u #s(literal 8 binary32)) u)) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) u) (/.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 u v) (*.f32 #s(literal -4/3 binary32) u)) v)) v)) (neg.f32 v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (/.f32 (fma.f32 (fma.f32 #s(literal 28/3 binary32) u (fma.f32 #s(literal -32 binary32) u (*.f32 #s(literal 32 binary32) u))) #s(literal 1/2 binary32) #s(literal -2/3 binary32)) v)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) #s(approx (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2)))) (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) v) #s(literal 4 binary32)) v)) #s(approx (* (- (exp (/ 2 v)) 1) v) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 4/3 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v)))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(approx (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u))) #s(literal 16 binary32))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (*.f32 #s(literal 2 binary32) u)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
Calls

1 calls:

13.0ms
v
Results
AccuracySegmentsBranch
89.2%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes48.0ms (0.5%)

Memory
14.4MiB live, 132.0MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) #s(literal 2 binary32)) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(approx (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))))
(+.f32 (*.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v)) v) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v))) u #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (fma.f32 (+.f32 (/.f32 u v) u) #s(literal 2 binary32) #s(literal -2 binary32)) v)))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 #s(approx (+ (* (/ (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) v) 1/6) (* -1/2 (* (- 1 u) (+ (* -4 (- 1 u)) 4)))) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 4/3 binary32) v)) u)) v)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (+.f32 #s(approx (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(approx (- (+ (* u -2) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (fma.f32 (+.f32 (/.f32 u v) u) #s(literal -2 binary32) #s(literal 2 binary32))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) v)) v))) u #s(literal -1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (+ (* (* u -1/2) (* (pow (neg (- (exp (/ -2 v)) 1)) 2) (/ v (exp (* (/ 2 v) -2))))) (* (- (exp (/ 2 v)) 1) v)) u) -1) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4/3 binary32)) (*.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v)) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) #s(approx (/ (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (neg v)) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)) v (*.f32 #s(literal 2 binary32) u)) v (*.f32 #s(literal 4/3 binary32) u)) (*.f32 (*.f32 v v) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 #s(approx (* (+ (/ 4/3 v) 2) u) (*.f32 (/.f32 u v) #s(literal 4/3 binary32))) v)) (neg.f32 v))))))
(fma.f32 #s(approx (log (+ (* (exp (/ -2 v)) (- 1 u)) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v) (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32))) v)))))
(fma.f32 #s(approx (log (+ (* (- 1 u) (exp (/ -2 v))) u)) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v)) v #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)) (neg.f32 v))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) v))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) u) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 #s(approx (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (/.f32 (fma.f32 #s(literal -4/3 binary32) u (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) u #s(literal 2 binary32)) v (*.f32 #s(literal -2 binary32) u)) v)) (*.f32 v v))) (neg.f32 v))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 #s(literal -8 binary32) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) #s(approx (+ (* (- (exp (/ 2 v)) 1) u) (/ -2 v)) (/.f32 #s(approx (- (+ (* -2 u) 2) (/ (* (+ (/ 4/3 v) 2) u) v)) (*.f32 (neg.f32 u) (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) v) #s(literal 2 binary32)) v) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) u)))) (neg.f32 v))))))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (*.f32 (fma.f32 (*.f32 #s(literal -16 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -8 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 #s(literal 24 binary32) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v)))
#s(approx (+ (* (log (+ (* (- 1 u) (exp (/ -2 v))) u)) v) 1) #s(approx (+ (+ (* (/ (+ (* (* -16 (- 1 u)) (* (- 1 u) (- 1 u))) (+ (* (* 24 (- 1 u)) (- 1 u)) (* -8 (- 1 u)))) (* v v)) 1/6) (+ (* 2 u) -2)) (+ (* (/ (* (+ (* -4 (- 1 u)) 4) (- 1 u)) v) 1/2) 1)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 (+.f32 (/.f32 #s(literal 4 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)) u)) u) (*.f32 u u))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

4 calls:

14.0ms
(*.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
u
9.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
86.0%1u
86.0%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
86.0%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
86.0%1v
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes7.0ms (0.1%)

Memory
-19.7MiB live, 19.1MiB 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:

2.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
1.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
1.0ms
v
1.0ms
u
Results
AccuracySegmentsBranch
4.8%1v
4.8%1u
4.8%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
4.8%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.17680728435516357
0.245289146900177
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.17680728435516357
0.245289146900177
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.1128511056303978
0.17680728435516357
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.1128511056303978
0.17680728435516357
Compiler

Compiled 20 to 17 computations (15% saved)

simplify55.0ms (0.6%)

Memory
-6.7MiB live, 31.9MiB allocated
Algorithm
1×egg-herbie
Rules
404×distribute-lft-neg-in_binary32
276×unsub-neg_binary32
242×neg-mul-1_binary32
198×neg-sub0_binary32
158×sub-neg_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117513
1144513
2184513
3219513
4281513
5352513
6426513
7569513
8753513
9881513
101000513
111086513
121157513
131212513
141258513
151302513
161332513
171348513
181350513
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -96 binary32) u #s(literal 192 binary32)) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))))
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 #s(literal 192 binary32) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))))
(if (<=.f32 v #s(literal 5033165/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v))))
(if (<=.f32 v #s(literal 5033165/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Outputs
(fma.f32 (log.f32 (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (-.f32 u (*.f32 (-.f32 u #s(literal 1 binary32)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v #s(literal 1 binary32))
(fma.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v #s(literal 1 binary32))
(fma.f32 (log.f32 (+.f32 #s(approx (* (exp (/ -2 v)) (- 1 u)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) u)) v #s(literal 1 binary32))
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -96 binary32) u #s(literal 192 binary32)) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))))
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -96 binary32) u #s(literal 192 binary32)) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 u #s(literal 1 binary32)) (-.f32 u #s(literal 1 binary32))) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32))) v)) v))))
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 #s(literal 192 binary32) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))))) v)) v))))
(if (<=.f32 v #s(literal 13421773/67108864 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (pow (- 1 u) 4) -96) (+ (* (* (- 1 u) (- 1 u)) (+ -112 (* (- 1 u) 192))) (* 16 (- 1 u)))) (*.f32 (fma.f32 (fma.f32 #s(literal 192 binary32) u #s(literal -112 binary32)) u #s(literal 16 binary32)) u)) v) #s(literal 1/24 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 u #s(literal 1 binary32)) (-.f32 u #s(literal 1 binary32))) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32))) v)) v))))
(if (<=.f32 v #s(literal 5033165/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v))))
(if (<=.f32 v #s(literal 5033165/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 #s(approx (+ (* (- 1 u) -2) 1) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (-.f32 u #s(literal 1 binary32)) (-.f32 u #s(literal 1 binary32))) (fma.f32 #s(literal 16 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -24 binary32)) (*.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) u))) v) #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/2 binary32))) v))))
(if (<=.f32 v #s(literal 5033165/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))))) v))))
(if (<=.f32 v #s(literal 5033165/33554432 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* (* (- 1 u) (- 1 u)) (+ (* 16 (- 1 u)) -24)) (* 8 (- 1 u))) (*.f32 (fma.f32 (fma.f32 #s(literal -16 binary32) u #s(literal 24 binary32)) u #s(literal -8 binary32)) u)) v) #s(literal 1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/2 binary32))) v))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))

soundness817.0ms (8.7%)

Memory
-12.5MiB live, 916.3MiB allocated
Rules
11 468×lower-fma.f64
11 468×lower-fma.f32
10 230×lower-fma.f64
10 230×lower-fma.f32
9 070×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059391
0103366
1405363
23374359
010047355
070010066
120429516
264249460
081898331
03372986
19352772
230292668
083342386
068710263
120249548
263349467
082208475
01253
02053
16953
246653
3488053
0871948
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 371 to 150 computations (59.6% saved)

preprocess55.0ms (0.6%)

Memory
16.7MiB live, 134.8MiB allocated
Compiler

Compiled 576 to 190 computations (67% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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