HairBSDF, sample_f, cosTheta

Time bar (total: 9.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze77.0ms (0.8%)

Memory
37.6MiB live, 152.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.9%99.1%0%0%0%0
0%0%0.9%99.1%0%0%0%1
0%0%0.9%99.1%0%0%0%2
0%0%0.9%99.1%0%0%0%3
0%0%0.9%99.1%0%0%0%4
37.5%0.3%0.5%99.1%0%0%0%5
43.7%0.4%0.5%99.1%0%0%0%6
65.6%0.6%0.3%99.1%0%0%0%7
70.3%0.6%0.3%99.1%0%0%0%8
82%0.7%0.2%99.1%0%0%0%9
84.8%0.7%0.1%99.1%0%0%0%10
90.8%0.8%0.1%99.1%0%0%0%11
92.3%0.8%0.1%99.1%0%0%0%12
Compiler

Compiled 31 to 23 computations (25.8% saved)

sample1.9s (21%)

Memory
-121.5MiB live, 2 471.6MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-div: 338.0ms (29.9% of total)
const: 218.0ms (19.3% of total)
ival-mult: 106.0ms (9.4% of total)
ival-log: 101.0ms (8.9% of total)
ival-<=: 93.0ms (8.2% of total)
ival-add: 89.0ms (7.9% of total)
ival-exp: 79.0ms (7% of total)
ival-sub: 69.0ms (6.1% of total)
ival-and: 23.0ms (2% of total)
exact: 12.0ms (1.1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain440.0ms (4.8%)

Memory
-12.9MiB live, 227.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
13(0.22155992686748505 0.012709557078778744)1(0.0002420983073534444 0.04293479025363922)(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))sensitivity32
Confusion
Predicted +Predicted -
+00
-3253
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-34249
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
62.0ms512×0valid
Compiler

Compiled 161 to 40 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-sub: 22.0ms (46.3% of total)
ival-mult: 6.0ms (12.6% of total)
ival-add: 5.0ms (10.5% of total)
ival-log: 5.0ms (10.5% of total)
ival-div: 4.0ms (8.4% of total)
ival-exp: 4.0ms (8.4% of total)
ival-true: 1.0ms (2.1% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)

preprocess111.0ms (1.2%)

Memory
26.4MiB live, 63.0MiB 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 15 to 12 computations (20% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify35.0ms (0.4%)

Memory
-21.4MiB live, 23.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize37.0ms (0.4%)

Memory
3.5MiB live, 40.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.05128626178494127
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
accuracy0.0625
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
accuracy0.09462508016403541
(exp.f32 (/.f32 #s(literal -2 binary32) v))
accuracy0.2734375
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Samples
30.0ms256×0valid
Compiler

Compiled 73 to 14 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sub: 10.0ms (45.2% of total)
ival-mult: 3.0ms (13.6% of total)
ival-log: 3.0ms (13.6% of total)
ival-div: 2.0ms (9% of total)
ival-add: 2.0ms (9% of total)
ival-exp: 2.0ms (9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series118.0ms (1.3%)

Memory
6.1MiB live, 78.6MiB 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
61.0ms
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)))
39.0ms
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)))
8.0ms
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
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)))

simplify280.0ms (3%)

Memory
-4.8MiB live, 235.1MiB 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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (*.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (+.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 v #s(literal 3 binary32))) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (*.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) (pow.f32 v #s(literal 3 binary32))) #s(literal -4/3 binary32) (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)))
(* -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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(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))
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(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))
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(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(fma.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.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 (fma.f32 (/.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (log.f32 u)) (log.f32 (neg.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))))))
(+ (log (+ 1 (* -1 (exp (/ -2 v))))) (+ (* -1 (log (/ 1 u))) (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (pow (exp (/ -2 v)) 3) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (/ (exp (/ -2 v)) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(fma.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 u #s(literal 3 binary32))) (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 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32))) (*.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 (fma.f32 (/.f32 #s(literal -1 binary32) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (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)))))))
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(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.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 #s(literal 1/2 binary32) u) (/.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))) (/.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)))))))
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(* -1 (* u (- (exp (/ -2 v)) 1)))
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(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.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))))))
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(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
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(+ (* -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))))))
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(+ (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 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) u) (/.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))) (/.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))

rewrite161.0ms (1.7%)

Memory
20.3MiB live, 215.6MiB 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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eval45.0ms (0.5%)

Memory
10.7MiB live, 95.2MiB allocated
Compiler

Compiled 12 327 to 1 605 computations (87% saved)

prune18.0ms (0.2%)

Memory
-31.4MiB live, 44.8MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New35112363
Fresh000
Picked011
Done000
Total35113364
Accuracy
99.6%
Counts
364 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.8%
(+.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))
90.8%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
▶99.4%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))
✓99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
▶3.0%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))))
43.5%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) v))))))
55.8%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
9.4%
(+.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)))))
38.5%
(+.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 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (*.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))))))
▶9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
▶86.1%
#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))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
▶6.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 399 to 306 computations (23.3% saved)

simplify129.0ms (1.4%)

Memory
39.6MiB live, 198.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))
cost-diff0
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))
cost-diff64
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))))
cost-diff64
(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
cost-diff96
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
cost-diff96
(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)))
cost-diff128
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
cost-diff64
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
cost-diff0
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))
cost-diff64
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))
cost-diff3232
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))
Rules
14 708×lower-fma.f64
14 702×lower-fma.f32
2 752×lower-*.f64
2 740×lower-*.f32
2 434×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049458
078458
1126458
2246448
3609426
41804426
55408426
08224400
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))
#s(literal 1 binary32)
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))
v
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
u
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) u)
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))
(-.f32 #s(literal 1 binary32) u)
u
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(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)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v)
(*.f32 (-.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 binary32) u)
#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)
v
#s(literal 1/2 binary32)
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))))
#s(literal 1 binary32)
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))
v
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))
u
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))
(-.f32 #s(literal 1 binary32) u)
#s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v))
#s(literal 2 binary32)
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v))
(/.f32 #s(literal 4/3 binary32) v)
#s(literal 4/3 binary32)
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) 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))
#s(literal 1 binary32)
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))
(*.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) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))
(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) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(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) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(literal -1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
(-.f32 #s(literal 1 binary32) u)
u
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 4 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 1 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)))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 4 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v)
(*.f32 (fma.f32 #s(literal -4 binary32) u #s(literal 4 binary32)) (/.f32 u v))
(*.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)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 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)
v
#s(literal 1/2 binary32)
(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))
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))))
(fma.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))
(*.f32 (log.f32 (fma.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u) u)) v)
v
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))
(log.f32 (fma.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u) u))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))
(fma.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u) u)
u
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))
(*.f32 #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v))
#s(literal 2 binary32)
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v))
(/.f32 #s(literal 4/3 binary32) v)
#s(literal 4/3 binary32)

localize129.0ms (1.4%)

Memory
-11.3MiB live, 267.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)
accuracy0.2734375
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))
accuracy0.33984375
(/.f32 #s(literal 4/3 binary32) v)
accuracy29.879842795068576
#s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))
accuracy26.027238433571586
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
accuracy27.27787614157084
#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))))
accuracy30.224792968382346
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
accuracy30.75349135995113
(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)))
accuracy0
(-.f32 #s(literal 1 binary32) u)
accuracy0
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))
accuracy0.0625
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
accuracy27.42972945787564
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))
accuracy29.82620806294449
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
accuracy0.053066259768442016
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))
accuracy0.0625
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))
accuracy0.09814251893922714
(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy0.2734375
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))
Samples
98.0ms256×0valid
Compiler

Compiled 348 to 42 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 23.0ms (36.3% of total)
ival-mult: 11.0ms (17.3% of total)
ival-add: 7.0ms (11% of total)
ival-sub: 5.0ms (7.9% of total)
ival-log: 5.0ms (7.9% of total)
const: 5.0ms (7.9% of total)
ival-exp: 4.0ms (6.3% of total)
ival-pow2: 3.0ms (4.7% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series75.0ms (0.8%)

Memory
-17.3MiB live, 177.3MiB allocated
Counts
22 → 408
Calls
Call 1
Inputs
#s(alt (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))) #<representation binary32>) () ())
#s(alt (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) (patch (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))) (patch (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))) #<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 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) (patch (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) u) (patch (-.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 (*.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))) (patch (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))) #<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 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (patch (*.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 (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))) #<representation binary32>) () ())
#s(alt (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))) (patch (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))) #<representation binary32>) () ())
#s(alt (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))) (patch (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))) (patch (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 #s(literal -1 binary32) v)) (patch (exp.f32 (/.f32 #s(literal -1 binary32) v)) #<representation binary32>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) (patch #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) #<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 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v) (patch (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v) #<representation binary32>) () ())
Outputs
#s(alt (pow (exp (/ -1 v)) 2) (taylor 0 v) (#s(alt (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (/ -1 v)) 2) (taylor 0 v) (#s(alt (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (/ -1 v)) 2) (taylor 0 v) (#s(alt (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow (exp (/ -1 v)) 2) (taylor 0 v) (#s(alt (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (patch (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#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) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 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) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 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) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 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) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))) (patch (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u))) (taylor 0 v) (#s(alt (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) (patch (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u))) (taylor 0 v) (#s(alt (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) (patch (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u))) (taylor 0 v) (#s(alt (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) (patch (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u))) (taylor 0 v) (#s(alt (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) (patch (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) (taylor -inf u) (#s(alt #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)))) (patch #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)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))) (taylor -inf u) (#s(alt #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)))) (patch #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)))) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
36.0ms
v
@0
((pow (exp (/ -1 v)) 2) (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))) (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* (- 1 u) -2) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- 1 u) (+ (* -4 (- 1 u)) 4) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* (- 1 u) -2) 1) (* (- 1 u) (+ (* -4 (- 1 u)) 4)) (+ 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 (/ -1 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (exp (/ -2 v)) (/ 4/3 v) (/ (- 2 (/ 4/3 v)) v))
4.0ms
v
@inf
((pow (exp (/ -1 v)) 2) (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))) (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* (- 1 u) -2) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- 1 u) (+ (* -4 (- 1 u)) 4) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* (- 1 u) -2) 1) (* (- 1 u) (+ (* -4 (- 1 u)) 4)) (+ 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 (/ -1 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (exp (/ -2 v)) (/ 4/3 v) (/ (- 2 (/ 4/3 v)) v))
4.0ms
u
@inf
((pow (exp (/ -1 v)) 2) (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))) (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* (- 1 u) -2) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- 1 u) (+ (* -4 (- 1 u)) 4) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* (- 1 u) -2) 1) (* (- 1 u) (+ (* -4 (- 1 u)) 4)) (+ 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 (/ -1 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (exp (/ -2 v)) (/ 4/3 v) (/ (- 2 (/ 4/3 v)) v))
3.0ms
u
@-inf
((pow (exp (/ -1 v)) 2) (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))) (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* (- 1 u) -2) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- 1 u) (+ (* -4 (- 1 u)) 4) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* (- 1 u) -2) 1) (* (- 1 u) (+ (* -4 (- 1 u)) 4)) (+ 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 (/ -1 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (exp (/ -2 v)) (/ 4/3 v) (/ (- 2 (/ 4/3 v)) v))
3.0ms
u
@0
((pow (exp (/ -1 v)) 2) (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))) (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* (- 1 u) -2) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (- 1 u) (+ (* -4 (- 1 u)) 4) (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* (- 1 u) -2) 1) (* (- 1 u) (+ (* -4 (- 1 u)) 4)) (+ 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 (/ -1 v)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (exp (/ -2 v)) (/ 4/3 v) (/ (- 2 (/ 4/3 v)) v))

simplify208.0ms (2.3%)

Memory
35.6MiB live, 310.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 340×lower-fma.f64
7 340×lower-fma.f32
4 586×lower-*.f64
4 586×lower-*.f32
3 248×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054210060
115419408
249358680
086467758
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(pow (exp (/ -1 v)) 2)
(pow (exp (/ -1 v)) 2)
(pow (exp (/ -1 v)) 2)
(pow (exp (/ -1 v)) 2)
1
(+ 1 (* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u))))))
(+ 1 (* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u))))))
(+ 1 (* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u))))))
(+ u (* (pow (exp (/ -1 v)) 2) (- 1 u)))
(+ u (* (pow (exp (/ -1 v)) 2) (- 1 u)))
(+ u (* (pow (exp (/ -1 v)) 2) (- 1 u)))
(+ u (* (pow (exp (/ -1 v)) 2) (- 1 u)))
(* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u)))))
(* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u)))))
(* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u)))))
(* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u)))))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
1
(+ 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)))))
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) 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))))))
(+ 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 (/ -1 v))
(exp (/ -1 v))
(exp (/ -1 v))
(exp (/ -1 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))))))
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 v))
(exp (/ -2 v))
(/ 4/3 v)
(/ 4/3 v)
(/ 4/3 v)
(/ 4/3 v)
(/ -4/3 (pow v 2))
(/ (- (* 2 v) 4/3) (pow v 2))
(/ (- (* 2 v) 4/3) (pow v 2))
(/ (- (* 2 v) 4/3) (pow v 2))
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)))
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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
(+ 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))
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(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (* -2 (- 1 u)))
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(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(+ 1 (* -2 (- 1 u)))
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(* -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
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(/ (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))) v)
1
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1
(- 1 (* 2 (/ 1 v)))
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(/ 4/3 v)
(/ 4/3 v)
(/ 4/3 v)
(/ 2 v)
(/ (- 2 (* 4/3 (/ 1 v))) v)
(/ (- 2 (* 4/3 (/ 1 v))) v)
(/ (- 2 (* 4/3 (/ 1 v))) v)
1
(- 1 (* 2 (/ 1 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))))
1
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(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v)))))))))
(+ 1 (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* (pow u 2) (pow (+ 1 (* -1 (exp (/ -2 v)))) 2)))) (+ (* 1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* (pow u 3) (pow (+ 1 (* -1 (exp (/ -2 v)))) 3)))) (+ (* v (+ (log (+ 1 (* -1 (exp (/ -2 v))))) (* -1 (log (/ 1 u))))) (/ (* v (exp (/ -2 v))) (* u (+ 1 (* -1 (exp (/ -2 v))))))))))
(+ 1 (* v (+ (log (- (pow (exp (/ -1 v)) 2) 1)) (* -1 (log (/ -1 u))))))
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(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -1 v)) 4)) (* u (pow (- (pow (exp (/ -1 v)) 2) 1) 2)))) (/ (* v (pow (exp (/ -1 v)) 2)) (- (pow (exp (/ -1 v)) 2) 1))) u)) (* v (+ (log (- (pow (exp (/ -1 v)) 2) 1)) (* -1 (log (/ -1 u)))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -1 v)) 4)) (pow (- (pow (exp (/ -1 v)) 2) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -1 v)) 6)) (* u (pow (- (pow (exp (/ -1 v)) 2) 1) 3))))) u)) (/ (* v (pow (exp (/ -1 v)) 2)) (- (pow (exp (/ -1 v)) 2) 1))) u)) (* v (+ (log (- (pow (exp (/ -1 v)) 2) 1)) (* -1 (log (/ -1 u)))))))
(* -1 (* u (- (pow (exp (/ -1 v)) 2) 1)))
(* -1 (* u (- (+ (* -1 (/ (pow (exp (/ -1 v)) 2) u)) (pow (exp (/ -1 v)) 2)) 1)))
(* -1 (* u (- (+ (* -1 (/ (pow (exp (/ -1 v)) 2) u)) (pow (exp (/ -1 v)) 2)) 1)))
(* -1 (* u (- (+ (* -1 (/ (pow (exp (/ -1 v)) 2) u)) (pow (exp (/ -1 v)) 2)) 1)))
(* v (+ (log (- (pow (exp (/ -1 v)) 2) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (pow (exp (/ -1 v)) 2)) (* u (- (pow (exp (/ -1 v)) 2) 1)))) (* v (+ (log (- (pow (exp (/ -1 v)) 2) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -1 v)) 4)) (* u (pow (- (pow (exp (/ -1 v)) 2) 1) 2)))) (/ (* v (pow (exp (/ -1 v)) 2)) (- (pow (exp (/ -1 v)) 2) 1))) u)) (* v (+ (log (- (pow (exp (/ -1 v)) 2) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -1 v)) 4)) (pow (- (pow (exp (/ -1 v)) 2) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -1 v)) 6)) (* u (pow (- (pow (exp (/ -1 v)) 2) 1) 3))))) u)) (/ (* v (pow (exp (/ -1 v)) 2)) (- (pow (exp (/ -1 v)) 2) 1))) u)) (* v (+ (log (- (pow (exp (/ -1 v)) 2) 1)) (* -1 (log (/ -1 u))))))
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(* 2 u)
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(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))
(+ (* -1 (/ (* v (exp (/ -2 v))) (* u (- (exp (/ -2 v)) 1)))) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (* v (pow (exp (/ -2 v)) 3)) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(* -1 u)
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(* 4 u)
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(* 4 u)
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(* 2 u)
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(* -1 (* u (- (/ 1 u) 2)))
(* -1 (* u (- (/ 1 u) 2)))
(* -4 (pow u 2))
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
(+ 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)))))))
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(+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u))))))
(+ (* -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 (* 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)))))))
Outputs
(pow (exp (/ -1 v)) 2)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(pow (exp (/ -1 v)) 2)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(pow (exp (/ -1 v)) 2)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(pow (exp (/ -1 v)) 2)
(exp.f32 (/.f32 #s(literal -2 binary32) v))
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u))))))
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(+ u (* (pow (exp (/ -1 v)) 2) (- 1 u)))
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(+ u (* (pow (exp (/ -1 v)) 2) (- 1 u)))
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(+ u (* (pow (exp (/ -1 v)) 2) (- 1 u)))
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1
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1
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(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
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(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))
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(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
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1
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1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
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(/ 4/3 v)
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(/ 4/3 v)
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(/ 4/3 v)
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(/ -4/3 (pow v 2))
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(/ (- (* 2 v) 4/3) (pow v 2))
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(/ (- (* 2 v) 4/3) (pow v 2))
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(/ (- (* 2 v) 4/3) (pow v 2))
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1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 v)))
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(-.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 #s(literal 1/2 binary32) u) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 4 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) u))
(+ (* -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 (-.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 -1 binary32) v) #s(literal 4 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))) u)) (neg.f32 u)))
(* -1 u)
(neg.f32 u)
(* -1 (* u (- 1 (/ 1 u))))
(-.f32 #s(literal 1 binary32) u)
(* -1 (* u (- 1 (/ 1 u))))
(-.f32 #s(literal 1 binary32) u)
(* -1 (* u (- 1 (/ 1 u))))
(-.f32 #s(literal 1 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* 4 u)
(*.f32 #s(literal 4 binary32) u)
(* -2 (/ (pow u 2) v))
(*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))
(*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 2 binary32)) (/.f32 #s(literal -2 binary32) v)) (*.f32 u u))
(* (pow u 2) (- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))
(*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))
(* (pow u 2) (- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))
(*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))
(* 2 u)
(*.f32 u #s(literal 2 binary32))
(* -1 (* u (- (/ 1 u) 2)))
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
(* -1 (* u (- (/ 1 u) 2)))
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
(* -1 (* u (- (/ 1 u) 2)))
(fma.f32 u #s(literal 2 binary32) #s(literal -1 binary32))
(* -4 (pow u 2))
(*.f32 (*.f32 u u) #s(literal -4 binary32))
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 4 binary32) u) #s(literal 4 binary32)) u) u)
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 4 binary32) u) #s(literal 4 binary32)) u) u)
(* (pow u 2) (- (* 4 (/ 1 u)) 4))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 4 binary32) u) #s(literal 4 binary32)) 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))) (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 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.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 #s(literal 1/2 binary32) u) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 4 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) u))
(+ 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 -1 binary32) v) #s(literal 4 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 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) (neg.f32 u))
(* -1 (* u (- (+ (exp (/ -2 v)) (* -1 (/ (exp (/ -2 v)) u))) 1)))
(*.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) 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 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))
(+ (* -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 #s(literal 1/2 binary32) u) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 4 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) u))
(+ (* -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 (-.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 -1 binary32) v) #s(literal 4 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 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))) (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 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* 1/2 (/ (pow (exp (/ -2 v)) 2) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) u) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 4 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) u))
(+ (log (- (exp (/ -2 v)) 1)) (+ (* -1 (log (/ -1 u))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (exp (/ -2 v)) 2) (pow (- (exp (/ -2 v)) 1) 2))) (* -1/3 (/ (pow (exp (/ -2 v)) 3) (* u (pow (- (exp (/ -2 v)) 1) 3))))) u)) (/ (exp (/ -2 v)) (- (exp (/ -2 v)) 1))) u))))
(-.f32 (-.f32 (log.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (log.f32 (/.f32 #s(literal -1 binary32) u))) (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (fma.f32 (/.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 -1 binary32) v) #s(literal 4 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32))) 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))) (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 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (+ (* 1/2 (/ (* v (pow (exp (/ -2 v)) 2)) (* u (pow (- (exp (/ -2 v)) 1) 2)))) (/ (* v (exp (/ -2 v))) (- (exp (/ -2 v)) 1))) u)) (* v (+ (log (- (exp (/ -2 v)) 1)) (* -1 (log (/ -1 u)))))))
(-.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 #s(literal 1/2 binary32) u) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 4 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))))) u))
(+ 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 -1 binary32) v) #s(literal 4 binary32))) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))) u)) u))

rewrite173.0ms (1.9%)

Memory
-24.4MiB live, 282.1MiB allocated
Rules
5 212×lower-*.f64
5 200×lower-*.f32
4 104×lower-/.f64
4 094×lower-/.f32
2 034×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049330
078330
1319322
22778322
08943307
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 468
Calls
Call 1
Inputs
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 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)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 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 (*.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)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 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 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))))
(+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))))))
(log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))
(exp.f32 (/.f32 #s(literal -1 binary32) 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 (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v)))
(/.f32 #s(literal 4/3 binary32) v)
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)
Outputs
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eval226.0ms (2.5%)

Memory
19.4MiB live, 278.6MiB allocated
Compiler

Compiled 31 683 to 4 072 computations (87.1% saved)

prune41.0ms (0.4%)

Memory
-2.8MiB live, 118.8MiB allocated
Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New1 048181 066
Fresh617
Picked055
Done011
Total1 054251 079
Accuracy
99.7%
Counts
1 079 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.9%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) u))))
✓99.4%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))
✓99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
✓3.0%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))))
7.1%
(+.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)))))
9.4%
(+.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)))))
9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32)))))
▶9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
▶9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))))
✓9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
6.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
▶9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) v #s(literal 1 binary32)))
▶86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.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) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
▶86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
✓86.1%
#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))))
9.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
9.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))))
14.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))))
14.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u)) (*.f32 u u))))
9.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.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))))
3.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
✓6.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 734 to 548 computations (25.3% saved)

simplify167.0ms (1.8%)

Memory
-14.6MiB live, 152.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff64
(*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))
cost-diff96
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u)))
cost-diff160
(*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))
cost-diff384
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
cost-diff0
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))
cost-diff0
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))))
cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))))
cost-diff0
#s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))
cost-diff0
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
cost-diff416
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
cost-diff64
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
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-diff256
(/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v)
Rules
12 190×lower-fma.f64
12 184×lower-fma.f32
3 766×lower-*.f64
3 752×lower-*.f32
1 880×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057518
085462
1165460
2415447
31386433
44343425
08198394
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 u u))
#s(literal 1 binary32)
(*.f32 u u)
u
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
#s(literal -4 binary32)
(-.f32 #s(literal 1 binary32) u)
#s(literal 4 binary32)
(+.f32 u #s(literal 1 binary32))
v
#s(literal 1/2 binary32)
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)))
#s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u))
#s(literal 2 binary32)
(/.f32 #s(literal 2 binary32) u)
u
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))))
(/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))
(+.f32 u #s(literal 1 binary32))
u
(-.f32 #s(literal 1 binary32) (*.f32 u u))
(*.f32 u u)
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))
(*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u)))
(*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))
(+.f32 u #s(literal 1 binary32))
u
(*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))
(*.f32 u u)
(*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))
#s(literal -2 binary32)
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 u v v)) (*.f32 u (fma.f32 #s(literal -4 binary32) (*.f32 u u) #s(literal 4 binary32))) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))))
(fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 u v v)) (*.f32 u (fma.f32 #s(literal -4 binary32) (*.f32 u u) #s(literal 4 binary32))) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))
(/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v)
(/.f32 (*.f32 u (fma.f32 #s(literal -4 binary32) (*.f32 u u) #s(literal 4 binary32))) (fma.f32 u v v))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 u (fma.f32 #s(literal -4 binary32) (*.f32 u u) #s(literal 4 binary32))) (-.f32 u #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
(*.f32 u (fma.f32 #s(literal -4 binary32) (*.f32 u u) #s(literal 4 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 u u))
#s(literal 1 binary32)
(*.f32 u u)
u
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) u)
#s(literal -4 binary32)
(-.f32 #s(literal 1 binary32) u)
#s(literal 4 binary32)
(+.f32 u #s(literal 1 binary32))
(-.f32 u #s(literal -1 binary32))
v
#s(literal 1/2 binary32)
(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))
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
#s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))
#s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u))
#s(literal 2 binary32)
(/.f32 #s(literal 2 binary32) u)
u
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 u #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32)))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 u #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 u #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 u #s(literal -1 binary32)))
(/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))
(/.f32 (-.f32 u #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))
(+.f32 u #s(literal 1 binary32))
(-.f32 u #s(literal -1 binary32))
u
(-.f32 #s(literal 1 binary32) (*.f32 u u))
(*.f32 u u)
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 u #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 u #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u))))
(*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 u #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 u #s(literal -1 binary32)))
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u)))
(*.f32 (-.f32 #s(literal -1 binary32) u) (fma.f32 u u #s(literal -1 binary32)))
(*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))
(-.f32 u #s(literal -1 binary32))
(+.f32 u #s(literal 1 binary32))
(-.f32 u #s(literal -1 binary32))
u
(*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))
(*.f32 (fma.f32 u u u) u)
(*.f32 u u)
(*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))
(fma.f32 (-.f32 u #s(literal -2 binary32)) u #s(literal 1 binary32))
#s(literal -2 binary32)

localize157.0ms (1.7%)

Memory
19.5MiB live, 252.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.4030075195368841
(*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))
accuracy0.4609375
(*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))
accuracy0.47892387698974626
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
accuracy25.224466274190444
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))
accuracy0.06132984264898864
(-.f32 #s(literal 1 binary32) (*.f32 u u))
accuracy0.244472509768442
(/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))
accuracy0.42578125
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))))
accuracy25.224466274190444
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32)))
accuracy0.0546875
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
accuracy0.15221645463015115
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u))
accuracy0.2734375
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)
accuracy25.224466274190444
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)))
accuracy4.2108027438411275
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
accuracy23.607204081391846
(fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))
accuracy25.079039568086948
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
accuracy26.835897514411553
(fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
accuracy27.90651361605275
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
Samples
82.0ms236×0valid
24.0ms20×5exit
Compiler

Compiled 387 to 51 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 28.0ms (34.6% of total)
ival-div: 15.0ms (18.5% of total)
ival-add: 12.0ms (14.8% of total)
adjust: 8.0ms (9.9% of total)
ival-sub: 5.0ms (6.2% of total)
ival-log: 5.0ms (6.2% of total)
ival-exp: 4.0ms (4.9% of total)
ival-pow2: 3.0ms (3.7% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory
-4.5MiB live, 153.0MiB allocated
Counts
24 → 396
Calls
Call 1
Inputs
#s(alt (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) (patch (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) #<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 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (patch (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (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) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32)) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u) (patch (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)))) #<representation binary32>) () ())
#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))) #<representation binary32>) () ())
#s(alt #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)) (patch #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #<representation binary32>) () ())
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Outputs
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#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)))) #<representation binary32>) () ())) ())
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#s(alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))) #<representation binary32>) () ())) ())
#s(alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 (pow u 2))) (* v (+ 1 u)))) (taylor 0 v) (#s(alt (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) (patch (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 (pow u 2))) (+ 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v) (taylor 0 v) (#s(alt (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) (patch (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
17.0ms
v
@0
((/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (* (- 2 (/ 2 u)) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (- 1 u) -2) (/ 1 (/ (+ u 1) (- 1 (* u u)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (/ 1 (/ (+ u 1) (- 1 (* u u)))) -2) (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) (* 1 (+ u 1)) (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (* u u)) (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- 2 (/ 2 u)) (/ (+ u 1) (- 1 (* u u))) (- 1 (* u u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (+ u 1) (+ u 1)))
5.0ms
u
@-inf
((/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (* (- 2 (/ 2 u)) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (- 1 u) -2) (/ 1 (/ (+ u 1) (- 1 (* u u)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (/ 1 (/ (+ u 1) (- 1 (* u u)))) -2) (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) (* 1 (+ u 1)) (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (* u u)) (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- 2 (/ 2 u)) (/ (+ u 1) (- 1 (* u u))) (- 1 (* u u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (+ u 1) (+ u 1)))
3.0ms
u
@inf
((/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (* (- 2 (/ 2 u)) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (- 1 u) -2) (/ 1 (/ (+ u 1) (- 1 (* u u)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (/ 1 (/ (+ u 1) (- 1 (* u u)))) -2) (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) (* 1 (+ u 1)) (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (* u u)) (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- 2 (/ 2 u)) (/ (+ u 1) (- 1 (* u u))) (- 1 (* u u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (+ u 1) (+ u 1)))
3.0ms
u
@0
((/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (* (- 2 (/ 2 u)) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (- 1 u) -2) (/ 1 (/ (+ u 1) (- 1 (* u u)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (/ 1 (/ (+ u 1) (- 1 (* u u)))) -2) (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) (* 1 (+ u 1)) (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (* u u)) (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- 2 (/ 2 u)) (/ (+ u 1) (- 1 (* u u))) (- 1 (* u u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (+ u 1) (+ u 1)))
2.0ms
v
@inf
((/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) (+ (* -4 (- 1 u)) 4) (+ (* (- 1 u) -2) 1) (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (* (- 2 (/ 2 u)) u) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (- 1 u) -2) (/ 1 (/ (+ u 1) (- 1 (* u u)))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (/ 1 (/ (+ u 1) (- 1 (* u u)))) -2) (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) (* 1 (+ u 1)) (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (* u u)) (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- 2 (/ 2 u)) (/ (+ u 1) (- 1 (* u u))) (- 1 (* u u)) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (+ u 1) (+ u 1)))

simplify164.0ms (1.8%)

Memory
11.3MiB live, 248.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 340×lower-fma.f64
9 340×lower-fma.f32
5 014×lower-*.f64
5 014×lower-*.f32
4 466×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04418149
112947681
242887203
087586381
Stop Event
1×iter limit
1×node limit
Counts
396 → 394
Calls
Call 1
Inputs
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 (pow u 2))) (* v (+ 1 u)))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 (pow u 2))) (* v (+ 1 u)))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 (pow u 2))) (* v (+ 1 u)))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 (pow u 2))) (* v (+ 1 u)))
1
(+ 1 (* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u))))))
(+ 1 (* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u))))))
(+ 1 (* v (log (+ u (* (pow (exp (/ -1 v)) 2) (- 1 u))))))
1
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
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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)))))
1
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1
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(-.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 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) u) #s(literal -1/3 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))) u)) 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 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) u) (pow.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)) (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))))))
(fma.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 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) u) #s(literal -1/3 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))) u)) (neg.f32 u)))
(* 2 u)
(*.f32 #s(literal 2 binary32) u)
(* -1 (* u (- (* 2 (/ 1 u)) 2)))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
(* -1 (* u (- (* 2 (/ 1 u)) 2)))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
(* -1 (* u (- (* 2 (/ 1 u)) 2)))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
(* -1 u)
(neg.f32 u)
(* -1 (* u (- 1 (/ 1 u))))
(-.f32 #s(literal 1 binary32) u)
(* -1 (* u (- 1 (/ 1 u))))
(-.f32 #s(literal 1 binary32) u)
(* -1 (* u (- 1 (/ 1 u))))
(-.f32 #s(literal 1 binary32) u)
u
(* u (+ 1 (/ 1 u)))
(+.f32 u #s(literal 1 binary32))
(* u (+ 1 (/ 1 u)))
(+.f32 u #s(literal 1 binary32))
(* u (+ 1 (/ 1 u)))
(+.f32 u #s(literal 1 binary32))
(* -1 (pow u 3))
(neg.f32 (pow.f32 u #s(literal 3 binary32)))
(* -1 (* (pow u 3) (+ 1 (/ 1 u))))
(*.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) u) u)
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- (/ 1 u) 1) u)))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32) #s(literal -1 binary32)) (pow.f32 u #s(literal 3 binary32)))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- (+ (/ 1 u) (/ 1 (pow u 2))) 1) u)))))
(*.f32 (+.f32 (/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) u) u) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) u)) u) #s(literal 1 binary32)) (neg.f32 (pow.f32 u #s(literal 3 binary32))))
(pow u 3)
(pow.f32 u #s(literal 3 binary32))
(* (pow u 3) (+ 1 (/ 1 u)))
(*.f32 (fma.f32 u u u) u)
(* (pow u 3) (+ 1 (/ 1 u)))
(*.f32 (fma.f32 u u u) u)
(* (pow u 3) (+ 1 (/ 1 u)))
(*.f32 (fma.f32 u u u) u)
(* -2 (/ (pow u 2) v))
(*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))
(* (pow u 2) (- (+ (* 2 (/ 1 u)) (/ 2 (* u v))) (* 2 (/ 1 v))))
(*.f32 u (fma.f32 u (*.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) #s(literal 2 binary32)))
(* (pow u 2) (- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))
(*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))
(* (pow u 2) (- (* -1 (/ (- (/ 1 u) (+ 2 (* 2 (/ 1 v)))) u)) (* 2 (/ 1 v))))
(*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) 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))) (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 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) u) (pow.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)) (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 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) u) #s(literal -1/3 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))) u)) u))
2
#s(literal 2 binary32)
(- 2 (* 2 (/ 1 u)))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u))
(- 2 (* 2 (/ 1 u)))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u))
(- 2 (* 2 (/ 1 u)))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u))
(/ -1 u)
(/.f32 #s(literal -1 binary32) u)
(* -1 (/ (+ 1 (/ 1 u)) u))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u)) u)
(* -1 (/ (+ 1 (+ (/ 1 u) (/ 1 (pow u 2)))) u))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) u) u) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u))) u)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u)) u)) 1) u))) u))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) u)) (neg.f32 u))
(* -1 (pow u 2))
(*.f32 (neg.f32 u) u)
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 u u))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 u u))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 u 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 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) u) (pow.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)) (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))))))
(fma.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 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) u) #s(literal -1/3 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))) u)) (neg.f32 u)))
(pow u 2)
(*.f32 u u)
(* (pow u 2) (+ 1 (* 2 (/ 1 u))))
(*.f32 (+.f32 #s(literal 2 binary32) u) u)
(* (pow u 2) (+ 1 (+ (* 2 (/ 1 u)) (/ 1 (pow u 2)))))
(fma.f32 (+.f32 #s(literal 2 binary32) u) u #s(literal 1 binary32))
(* (pow u 2) (+ 1 (+ (* 2 (/ 1 u)) (/ 1 (pow u 2)))))
(fma.f32 (+.f32 #s(literal 2 binary32) u) u #s(literal 1 binary32))

rewrite181.0ms (2%)

Memory
9.3MiB live, 241.0MiB allocated
Rules
5 478×lower-*.f64
5 462×lower-*.f32
3 802×lower-fma.f64
3 796×lower-fma.f32
3 498×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056394
083354
1370318
23124318
08494308
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 851
Calls
Call 1
Inputs
(/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v)
(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 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u)))
#s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u)))
(*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))
(fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) 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 2 binary32) (/.f32 #s(literal 2 binary32) u))
(/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))
(-.f32 #s(literal 1 binary32) (*.f32 u u))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))
(*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))
Outputs
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eval188.0ms (2%)

Memory
3.8MiB live, 323.7MiB allocated
Compiler

Compiled 42 746 to 5 324 computations (87.5% saved)

prune77.0ms (0.8%)

Memory
-34.2MiB live, 166.8MiB allocated
Pruning

52 alts after pruning (42 fresh and 10 done)

PrunedKeptTotal
New1 247301 277
Fresh21214
Picked145
Done066
Total1 250521 302
Accuracy
99.7%
Counts
1 302 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(fma.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) #s(literal 1 binary32))
61.4%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) u))))
✓99.4%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))
✓99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
✓3.0%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))))
7.1%
(+.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)))))
9.4%
(+.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)))))
9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
6.8%
(+.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))))
9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32)))))
9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)))))
6.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) #s(literal -2 binary32))))
62.7%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u #s(literal 1 binary32))) (*.f32 (fma.f32 u u u) (neg.f32 u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
▶10.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (/.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) (+.f32 u #s(literal 1 binary32))) #s(literal -2 binary32))))
10.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1 binary32) u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
22.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) (*.f32 (fma.f32 u u u) (neg.f32 u))) (neg.f32 (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal -2 binary32))))
8.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 (fma.f32 u u u) #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 (+.f32 u #s(literal 1 binary32)) u (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 u (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 #s(literal 1 binary32) (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
9.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (/.f32 (fma.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) u) (/.f32 (-.f32 u #s(literal 1 binary32)) (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 u #s(literal 1 binary32)) (/.f32 (-.f32 u #s(literal 1 binary32)) (fma.f32 u u #s(literal -1 binary32)))))) #s(literal -2 binary32))))
9.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (+.f32 (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) #s(approx (* (+ u 1) (* u u)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
10.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 #s(approx (* 1 (+ u 1)) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) #s(literal -2 binary32))))
42.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (*.f32 u (fma.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u)) (*.f32 u u) #s(literal 1 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
▶9.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
✓9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))))
✓9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
▶6.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
6.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u (*.f32 (/.f32 #s(literal -2 binary32) u) u)))))
9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (+.f32 (*.f32 u #s(literal 2 binary32)) (*.f32 u (/.f32 #s(literal -2 binary32) u))))))
✓9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) v #s(literal 1 binary32)))
✓86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) u)) #s(literal -4 binary32) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -4 binary32)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -4 binary32)) (-.f32 #s(literal 1 binary32) u))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.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) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
✓86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
✓86.1%
#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))))
▶86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
9.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
9.4%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
9.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))))
▶14.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))))
3.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
14.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u)) (*.f32 u u))))
9.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.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))))
✓6.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 1 938 to 1 288 computations (33.5% saved)

simplify133.0ms (1.4%)

Memory
21.2MiB live, 170.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
cost-diff0
(*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))
cost-diff0
#s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u)))
cost-diff0
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
cost-diff64
(*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))
cost-diff128
(fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u)))
cost-diff448
(/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
cost-diff0
(*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))
cost-diff0
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
cost-diff64
(*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))
cost-diff0
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
cost-diff0
#s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
cost-diff0
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
cost-diff0
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
cost-diff128
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
cost-diff160
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
cost-diff352
(/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
cost-diff544
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
Rules
9 538×lower-fma.f64
9 526×lower-fma.f32
3 036×lower-*.f64
3 022×lower-*.f32
2 600×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070704
0108672
1217662
2532607
31665589
46101589
08286562
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #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) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)))
v
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
(-.f32 #s(literal 1 binary32) u)
u
#s(literal -4 binary32)
#s(literal 4 binary32)
#s(literal 1/2 binary32)
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
u
#s(literal 2 binary32)
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))
(*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))
(/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
#s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32))
(*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))
(+.f32 u #s(literal 1 binary32))
u
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))
(*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))
(/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u)))
u
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))
(*.f32 (fma.f32 u u u) u)
(fma.f32 u u u)
(*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))
(+.f32 u #s(literal 1 binary32))
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))))
#s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u)))
(*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))
(-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))
(-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal 2 binary32)
(/.f32 #s(literal 2 binary32) v)
(*.f32 u u)
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 4 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 4 binary32) u) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal 4 binary32) u))
#s(literal 1 binary32)
(/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(/.f32 (/.f32 v (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 4 binary32) u))
(/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)))
(/.f32 (/.f32 v (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 4 binary32) u))
v
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (neg.f32 u) (fma.f32 #s(literal 4 binary32) u #s(literal -4 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
(*.f32 #s(literal 4 binary32) u)
(-.f32 #s(literal 1 binary32) u)
u
#s(literal -4 binary32)
#s(literal 4 binary32)
#s(literal 1/2 binary32)
(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))
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))))
#s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
#s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32)))
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
(fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))
u
#s(literal 2 binary32)
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (*.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(literal -2 binary32)) (fma.f32 (+.f32 u #s(literal 2 binary32)) u #s(literal 1 binary32)))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (*.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(literal -2 binary32)) (fma.f32 (+.f32 u #s(literal 2 binary32)) u #s(literal 1 binary32))))
(*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))
(/.f32 (*.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(literal -2 binary32)) (fma.f32 (+.f32 u #s(literal 2 binary32)) u #s(literal 1 binary32)))
(/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal 2 binary32)) u #s(literal 1 binary32)))
#s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32))
(*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))
(fma.f32 (+.f32 u #s(literal 2 binary32)) u #s(literal 1 binary32))
(+.f32 u #s(literal 1 binary32))
(-.f32 u #s(literal -1 binary32))
u
#s(literal -2 binary32)
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 u #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 u #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u))))
(*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 u #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u u)))
(/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 u #s(literal -1 binary32)))
(fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 u #s(literal -1 binary32)))
u
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))
(*.f32 (fma.f32 u u u) u)
(fma.f32 u u u)
(*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))
(fma.f32 (+.f32 u #s(literal 2 binary32)) u #s(literal 1 binary32))
(+.f32 u #s(literal 1 binary32))
(-.f32 u #s(literal -1 binary32))
#s(literal -2 binary32)
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))))
#s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u)))
(*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))
(-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
(/.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
v
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))
(-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal 2 binary32)
(/.f32 #s(literal 2 binary32) v)
(*.f32 u u)

localize145.0ms (1.6%)

Memory
24.5MiB live, 221.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)
accuracy0.38161757706560595
(-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
accuracy2.5904876819449036
(*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))
accuracy27.27787614157084
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))))
accuracy0.515625
(*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))
accuracy15.388454506640784
(fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u)))
accuracy15.390024408138645
(fma.f32 u u u)
accuracy27.42972945787564
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))
accuracy0.5140801269897463
(/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
accuracy0.515625
(*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))
accuracy14.78785450556235
#s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32))
accuracy27.42972945787564
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))
accuracy0
#s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
accuracy0.0625
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
accuracy15.96453705252051
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
accuracy27.42972945787564
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
accuracy25.50387957289632
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
accuracy27.27787614157084
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
accuracy29.21401114332592
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
accuracy30.326884286224463
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
Samples
79.0ms236×0valid
23.0ms20×1valid
Compiler

Compiled 503 to 60 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 26.0ms (33.8% of total)
ival-div: 22.0ms (28.6% of total)
ival-add: 12.0ms (15.6% of total)
ival-sub: 8.0ms (10.4% of total)
ival-log: 3.0ms (3.9% of total)
adjust: 2.0ms (2.6% of total)
ival-exp: 2.0ms (2.6% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series112.0ms (1.2%)

Memory
-51.4MiB live, 141.4MiB allocated
Counts
26 → 492
Calls
Call 1
Inputs
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) (patch (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) (patch (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) (patch #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) (patch (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (patch (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)) (patch (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (patch (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u)))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))) (patch #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u)) (patch (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u)) #<representation binary32>) () ())
#s(alt (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (patch (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) #<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 #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))) (patch #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (patch #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (patch (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 u u u) (patch (fma.f32 u u u) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u) (patch (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u) #<representation binary32>) () ())
Outputs
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor 0 v) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor 0 v) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor 0 v) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v) (taylor 0 v) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (taylor 0 v) (#s(alt (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) (patch (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (taylor 0 v) (#s(alt (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) (patch (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (taylor 0 v) (#s(alt (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) (patch (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (taylor 0 v) (#s(alt (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) (patch (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)) (taylor 0 v) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) (patch (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v) (taylor 0 v) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) (patch (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v) (taylor 0 v) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) (patch (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v) (taylor 0 v) (#s(alt (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) (patch (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))) (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))) (taylor 0 v) (#s(alt #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) (patch #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
49.0ms
v
@inf
((/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1) (+ (* (/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* (- 1 u) -4) 4) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (- 1 u) -2) (+ (* u 2) -2) (* (+ u 1) (+ u 1)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) -2) (/ (+ (* u 1) (- 1 (* (+ (* u u) u) u))) (* (+ u 1) (+ u 1))) (+ (* u 1) (- 1 (* (+ (* u u) u) u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (+ (* (- 1 u) -2) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* u u) u) (/ (- (- (/ 1 u) 2) (/ 2 v)) u))
16.0ms
v
@0
((/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1) (+ (* (/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* (- 1 u) -4) 4) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (- 1 u) -2) (+ (* u 2) -2) (* (+ u 1) (+ u 1)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) -2) (/ (+ (* u 1) (- 1 (* (+ (* u u) u) u))) (* (+ u 1) (+ u 1))) (+ (* u 1) (- 1 (* (+ (* u u) u) u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (+ (* (- 1 u) -2) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* u u) u) (/ (- (- (/ 1 u) 2) (/ 2 v)) u))
5.0ms
u
@0
((/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1) (+ (* (/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* (- 1 u) -4) 4) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (- 1 u) -2) (+ (* u 2) -2) (* (+ u 1) (+ u 1)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) -2) (/ (+ (* u 1) (- 1 (* (+ (* u u) u) u))) (* (+ u 1) (+ u 1))) (+ (* u 1) (- 1 (* (+ (* u u) u) u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (+ (* (- 1 u) -2) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* u u) u) (/ (- (- (/ 1 u) 2) (/ 2 v)) u))
4.0ms
u
@-inf
((/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1) (+ (* (/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* (- 1 u) -4) 4) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (- 1 u) -2) (+ (* u 2) -2) (* (+ u 1) (+ u 1)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) -2) (/ (+ (* u 1) (- 1 (* (+ (* u u) u) u))) (* (+ u 1) (+ u 1))) (+ (* u 1) (- 1 (* (+ (* u u) u) u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (+ (* (- 1 u) -2) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* u u) u) (/ (- (- (/ 1 u) 2) (/ 2 v)) u))
3.0ms
v
@-inf
((/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1) (+ (* (/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) 1/2) (+ (* (- 1 u) -2) 1)) (+ (* (- 1 u) -4) 4) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (- 1 u) -2) (+ (* u 2) -2) (* (+ u 1) (+ u 1)) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (* (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) -2) (/ (+ (* u 1) (- 1 (* (+ (* u u) u) u))) (* (+ u 1) (+ u 1))) (+ (* u 1) (- 1 (* (+ (* u u) u) u))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (* (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (* u u)) (- (/ -2 v) (/ (- (- (/ 1 u) 2) (/ 2 v)) u)) (+ (* (- 1 u) -2) 1) (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (/ (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (* (+ u 1) (+ u 1))) (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (+ (* u u) u) (/ (- (- (/ 1 u) 2) (/ 2 v)) u))

simplify346.0ms (3.8%)

Memory
37.3MiB live, 216.7MiB allocated
Algorithm
1×egg-herbie
Rules
15 272×lower-fma.f64
15 272×lower-fma.f32
6 900×lower-+.f64
6 900×lower-+.f32
5 148×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040710364
111849711
237999057
087278094
Stop Event
1×iter limit
1×node limit
Counts
492 → 491
Calls
Call 1
Inputs
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))
(/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))
(/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))
(/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) 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)))))
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)))))
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))))))
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(+ (* -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))))))
(pow u 2)
(* (pow u 2) (+ 1 (/ 1 u)))
(* (pow u 2) (+ 1 (/ 1 u)))
(* (pow u 2) (+ 1 (/ 1 u)))
(* -1 (/ (+ 2 (* 2 (/ 1 v))) u))
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u))
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u))
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u))
Outputs
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))
(/.f32 (/.f32 v (-.f32 #s(literal 1 binary32) u)) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))
(/.f32 (/.f32 v (-.f32 #s(literal 1 binary32) u)) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))
(/.f32 (/.f32 v (-.f32 #s(literal 1 binary32) u)) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))
(/.f32 (/.f32 v (-.f32 #s(literal 1 binary32) u)) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))
(*.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32))
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/.f32 (+.f32 v (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 v #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))))) v)
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/.f32 (+.f32 v (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 v #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))))) v)
(/ (+ (* 1/2 (* (+ 4 (* -4 (- 1 u))) (- 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/.f32 (+.f32 v (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 v #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))))) v)
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 (pow u 2))) (* v (+ 1 u))))
(*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 v u v)))
(/ (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 (pow u 2))) (+ 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32))) (+.f32 u #s(literal 1 binary32))) #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) v)) v)
(/ (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 (pow u 2))) (+ 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32))) (+.f32 u #s(literal 1 binary32))) #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) v)) v)
(/ (+ (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 (pow u 2))) (+ 1 u))) (* v (+ 1 (* -2 (- 1 u))))) v)
(/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32))) (+.f32 u #s(literal 1 binary32))) #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) v)) v)
(/ (* (pow u 2) (- (* 2 (/ 1 u)) 2)) v)
(/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) u) u (*.f32 #s(literal 2 binary32) u)) v)
(/ (+ (* (pow u 2) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) (* (pow u 2) (- (* 2 (/ 1 u)) 2))) v)
(/.f32 (fma.f32 #s(literal 2 binary32) u (fma.f32 (*.f32 #s(literal -2 binary32) u) u (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) v))) v)
(/ (+ (* (pow u 2) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) (* (pow u 2) (- (* 2 (/ 1 u)) 2))) v)
(/.f32 (fma.f32 #s(literal 2 binary32) u (fma.f32 (*.f32 #s(literal -2 binary32) u) u (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) v))) v)
(/ (+ (* (pow u 2) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) (* (pow u 2) (- (* 2 (/ 1 u)) 2))) v)
(/.f32 (fma.f32 #s(literal 2 binary32) u (fma.f32 (*.f32 #s(literal -2 binary32) u) u (*.f32 (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)) v))) v)
(/ (- (* 2 (/ 1 u)) 2) v)
(/.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) #s(literal 2 binary32)) v)
(/ (- (+ (* 2 (/ 1 u)) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) 2) v)
(/.f32 (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 (/.f32 #s(literal 1 binary32) u) u)) v (/.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)) v)
(/ (- (+ (* 2 (/ 1 u)) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) 2) v)
(/.f32 (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 (/.f32 #s(literal 1 binary32) u) u)) v (/.f32 #s(literal 2 binary32) u)) #s(literal 2 binary32)) v)
(/ (- (+ (* 2 (/ 1 u)) (* v (- (* 2 (/ 1 u)) (/ 1 (pow u 2))))) 2) v)
(/.f32 (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) u) (/.f32 (/.f32 #s(literal 1 binary32) u) u)) v (/.f32 #s(literal 2 binary32) u)) #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 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(+ 1 (* v (log (+ u (* (exp (/ -2 v)) (- 1 u))))))
(fma.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v #s(literal 1 binary32))
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(* v (log (+ u (* (exp (/ -2 v)) (- 1 u)))))
(*.f32 (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)) v)
(/ -2 (* u v))
(/.f32 (/.f32 #s(literal -2 binary32) v) u)
(/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v)
(/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u) v (/.f32 #s(literal -2 binary32) u)) v)
(/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v)
(/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u) v (/.f32 #s(literal -2 binary32) u)) v)
(/ (- (* v (- (/ 1 (pow u 2)) (* 2 (/ 1 u)))) (* 2 (/ 1 u))) v)
(/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u) v (/.f32 #s(literal -2 binary32) u)) v)
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))
(/.f32 (/.f32 v (-.f32 #s(literal 1 binary32) u)) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))
(/.f32 (/.f32 v (-.f32 #s(literal 1 binary32) u)) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))
(/.f32 (/.f32 v (-.f32 #s(literal 1 binary32) u)) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(/ v (* (+ 4 (* -4 (- 1 u))) (- 1 u)))
(/.f32 (/.f32 v (-.f32 #s(literal 1 binary32) u)) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32)))
(+ 1 (* -2 (- 1 u)))
(fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))
(fma.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))
(fma.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (* (+ 4 (* -4 (- 1 u))) (- 1 u)) v))))
(fma.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))
(+ 1 (* -2 (- 1 u)))
(fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))
(+ 1 (+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
(fma.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))))
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32))))
(+ 1 (+ (* -2 (- 1 u)) (+ (* 1/24 (/ (+ (* -96 (pow (- 1 u) 4)) (+ (* -64 (pow (- 1 u) 2)) (+ (* -48 (pow (- 1 u) 2)) (+ (* 16 (- 1 u)) (* 192 (pow (- 1 u) 3)))))) (pow v 3))) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))))
(fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal -96 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (+.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 v #s(literal 3 binary32))) #s(literal 1/24 binary32) (fma.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (*.f32 v v)) #s(literal 1/6 binary32) (fma.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) u #s(literal -1 binary32)))))
(* -2 (- 1 u))
(*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))
(+ (* -2 (- 1 u)) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v)))
(fma.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) (fma.f32 (neg.f32 u) #s(literal -4 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))
(+ (* -2 (- 1 u)) (+ (* 1/6 (/ (+ (* -16 (pow (- 1 u) 3)) (+ (* -8 (- 1 u)) (* 24 (pow (- 1 u) 2)))) (pow v 2))) (* 1/2 (/ (+ (* -4 (pow (- 1 u) 2)) (* 4 (- 1 u))) v))))
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(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 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) u) (pow.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)) (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 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) u) #s(literal -1/3 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))) u)) u))
(* -1 (pow u 3))
(neg.f32 (pow.f32 u #s(literal 3 binary32)))
(* -1 (* (pow u 3) (+ 1 (/ 1 u))))
(*.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) u) u)
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- (/ 1 u) 1) u)))))
(*.f32 u (fma.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u)) (*.f32 u u) #s(literal 1 binary32)))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- (+ (/ 1 u) (/ 1 (pow u 2))) 1) u)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u) u)) (/.f32 #s(literal 1 binary32) u)) u)) (neg.f32 (pow.f32 u #s(literal 3 binary32))))
(* -1 u)
(neg.f32 u)
(* -1 (* u (- 1 (/ 1 u))))
(-.f32 #s(literal 1 binary32) u)
(* -1 (* u (- 1 (/ 1 u))))
(-.f32 #s(literal 1 binary32) u)
(* -1 (* u (- 1 (/ 1 u))))
(-.f32 #s(literal 1 binary32) 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 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) u) (pow.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)) (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))))))
(fma.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 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (expm1.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 3 binary32)) u) #s(literal -1/3 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -4 binary32) v)) (pow.f32 (expm1.f32 (/.f32 #s(literal -2 binary32) v)) #s(literal 2 binary32))) #s(literal -1/2 binary32)))) u)) (neg.f32 u)))
(pow u 2)
(*.f32 u u)
(* (pow u 2) (+ 1 (/ 1 u)))
(fma.f32 u u u)
(* (pow u 2) (+ 1 (/ 1 u)))
(fma.f32 u u u)
(* (pow u 2) (+ 1 (/ 1 u)))
(fma.f32 u u u)
(* -1 (/ (+ 2 (* 2 (/ 1 v))) u))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) u)
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u))
(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) #s(literal -1 binary32) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v))) u)
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u))
(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) #s(literal -1 binary32) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v))) u)
(* -1 (/ (- (+ 2 (* 2 (/ 1 v))) (/ 1 u)) u))
(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) #s(literal -1 binary32) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v))) u)

rewrite267.0ms (2.9%)

Memory
-32.4MiB live, 206.8MiB allocated
Rules
4 266×lower-*.f64
4 252×lower-*.f32
3 518×lower-fma.f64
3 506×lower-fma.f32
3 134×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070583
0108536
1528509
24514509
08159499
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 602
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
(/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))))
#s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))
(fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32))
(*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))
(*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))
(/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))))
#s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u)))
(*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))
(-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32))
(/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
#s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32)))
(fma.f32 u u u)
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)
Outputs
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eval181.0ms (2%)

Memory
17.8MiB live, 239.4MiB allocated
Compiler

Compiled 30 586 to 3 907 computations (87.2% saved)

prune263.0ms (2.9%)

Memory
13.1MiB live, 210.4MiB allocated
Pruning

82 alts after pruning (68 fresh and 14 done)

PrunedKeptTotal
New1 113391 152
Fresh82937
Picked145
Done01010
Total1 122821 204
Accuracy
99.7%
Counts
1 204 → 82
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(fma.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) #s(literal 1 binary32))
60.9%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) u))))
✓99.4%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))
✓99.6%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
✓3.0%
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))))
9.4%
(+.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)))))
9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
6.8%
(+.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))))
9.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (/.f32 (*.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32))) (+.f32 u #s(literal 1 binary32)))))
9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32)))))
9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)))))
6.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) #s(literal -2 binary32))))
7.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (fma.f32 u u u) (neg.f32 u) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
7.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (neg.f32 u) u) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
7.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 u) u) (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
7.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u (neg.f32 (fma.f32 u u u)) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
10.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 u u) #s(literal 1 binary32) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
5.5%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (fma.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 u u u))) #s(literal -2 binary32))))
10.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (fma.f32 (*.f32 u u) #s(literal 1 binary32) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
10.0%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (fma.f32 #s(literal 1 binary32) (*.f32 u u) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
10.6%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (/.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) (+.f32 u #s(literal 1 binary32))) (-.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
41.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (/.f32 (*.f32 (+.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) u)))) #s(literal -2 binary32))))
✓10.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) #s(approx (* (+ u 1) (+ u 1)) (fma.f32 #s(literal 2 binary32) u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) #s(approx (* (+ u 1) (+ u 1)) #s(literal 1 binary32))) #s(literal -2 binary32))))
10.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 u u) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
9.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (-.f32 u #s(literal 1 binary32))) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
10.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (*.f32 u u) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
10.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (/.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) (+.f32 u #s(literal 1 binary32))) #s(literal -2 binary32))))
8.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 (fma.f32 u u u) #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 (+.f32 u #s(literal 1 binary32)) u (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 u (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 #s(literal 1 binary32) (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
9.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (+.f32 (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) #s(approx (* (+ u 1) (* u u)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
10.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 #s(approx (* 1 (+ u 1)) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) #s(literal -2 binary32))))
42.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (*.f32 u (fma.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u)) (*.f32 u u) #s(literal 1 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
4.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u #s(literal 1 binary32))) (fma.f32 u u u))) #s(literal -2 binary32))))
31.9%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (-.f32 (pow.f32 u #s(literal 4 binary32)) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) u)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
4.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 u u u))) #s(literal -2 binary32))))
8.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (*.f32 u u) #s(literal 1 binary32) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
7.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 u (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 u u (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
7.3%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 #s(literal 1 binary32) (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
8.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (+.f32 u (fma.f32 u u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
✓9.2%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
14.1%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (exp.f32 (*.f32 (log1p.f32 u) #s(literal 2 binary32)))) #s(literal -2 binary32))))
6.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(approx (* (+ u 1) (+ u 1)) (fma.f32 #s(literal 2 binary32) u #s(literal 1 binary32)))) #s(literal -2 binary32))))
✓9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))))
✓9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
✓6.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 u #s(literal 2 binary32) #s(literal -2 binary32)))))
6.8%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u (*.f32 (/.f32 #s(literal -2 binary32) u) u)))))
9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (+.f32 (*.f32 u #s(literal 2 binary32)) (*.f32 u (/.f32 #s(literal -2 binary32) u))))))
✓9.4%
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) v #s(literal 1 binary32)))
✓86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) u)) #s(literal -4 binary32) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -4 binary32)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -4 binary32)) (-.f32 #s(literal 1 binary32) u))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.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) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
✓86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
✓86.1%
#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))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (+.f32 u #s(literal 1 binary32))))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 v) (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (fma.f32 (fma.f32 v u v) u v)) u (*.f32 #s(literal 1/4 binary32) v)) u))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
86.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -4 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
9.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v))))
14.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 u u)) (*.f32 u v))))
14.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 v)) (/.f32 (neg.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))) u)) (*.f32 u u))))
14.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)))) (*.f32 v #s(literal 1 binary32))) (*.f32 v (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))))) (*.f32 u u))))
14.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 u v)) (/.f32 (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) v) (*.f32 u v))) (*.f32 u u))))
✓14.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))))
6.1%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) #s(approx (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (/.f32 (fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) u #s(literal 1 binary32)) (*.f32 u u)))) (*.f32 u u))))
14.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u)))
14.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) v)) (/.f32 #s(literal 1 binary32) (*.f32 u v))) (*.f32 u u))))
3.6%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
14.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u)) (*.f32 u u))))
9.7%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.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))))
✓6.8%
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Compiler

Compiled 3 820 to 1 732 computations (54.7% saved)

regimes129.0ms (1.4%)

Memory
21.5MiB live, 212.3MiB allocated
Counts
100 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 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 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) #s(literal -2 binary32))))
(fma.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) v #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u (*.f32 (/.f32 #s(literal -2 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(approx (* (+ u 1) (+ u 1)) (fma.f32 #s(literal 2 binary32) u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (+.f32 (*.f32 u #s(literal 2 binary32)) (*.f32 u (/.f32 #s(literal -2 binary32) u))))))
(+.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)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (+.f32 u (fma.f32 u u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 u u (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 u (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 #s(literal 1 binary32) (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 u u u))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -4 binary32))) #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)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (*.f32 u u) #s(literal 1 binary32) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (/.f32 (*.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32))) (+.f32 u #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) #s(approx (* (+ u 1) (+ u 1)) #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (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 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #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) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) #s(approx (* (+ u 1) (+ u 1)) (fma.f32 #s(literal 2 binary32) u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
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(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (/.f32 (*.f32 (+.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (fma.f32 u u (-.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 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (*.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))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (exp.f32 (*.f32 (log1p.f32 u) #s(literal 2 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
(+.f32 (*.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)) u)) v) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (exp.f32 (/.f32 #s(literal -1 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)))))))
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))))))
33.0ms
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)))))))
Results
AccuracySegmentsBranch
99.6%1u
99.6%1v
99.6%1(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
99.6%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 30 to 27 computations (10% saved)

regimes390.0ms (4.2%)

Memory
-5.7MiB live, 163.3MiB allocated
Counts
98 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 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 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) #s(literal -2 binary32))))
(fma.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) v #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u (*.f32 (/.f32 #s(literal -2 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(approx (* (+ u 1) (+ u 1)) (fma.f32 #s(literal 2 binary32) u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (+.f32 (*.f32 u #s(literal 2 binary32)) (*.f32 u (/.f32 #s(literal -2 binary32) u))))))
(+.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)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (+.f32 u (fma.f32 u u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 u u (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 u (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 #s(literal 1 binary32) (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 u u u))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -4 binary32))) #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)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (*.f32 u u) #s(literal 1 binary32) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (/.f32 (*.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32))) (+.f32 u #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) #s(approx (* (+ u 1) (+ u 1)) #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (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 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #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) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 #s(approx (* 1 (+ u 1)) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) #s(approx (* (+ u 1) (* u u)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u (neg.f32 (fma.f32 u u u)) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (fma.f32 u u u) (neg.f32 u) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 u) u) (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (neg.f32 u) u) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u #s(literal 1 binary32))) (fma.f32 u u u))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1 binary32) u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (/.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) (+.f32 u #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (*.f32 u u) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (fma.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 u u u))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (+.f32 (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
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(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 u u) #s(literal 1 binary32) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (fma.f32 #s(literal 1 binary32) (*.f32 u u) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (fma.f32 (*.f32 u u) #s(literal 1 binary32) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 #s(literal 1 binary32) (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 (fma.f32 u u u) #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) #s(approx (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (/.f32 (fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) u #s(literal 1 binary32)) (*.f32 u u)))) (*.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (*.f32 u (fma.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u)) (*.f32 u u) #s(literal 1 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 v) (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.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) (*.f32 u u))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (fma.f32 (fma.f32 v u v) u v)) u (*.f32 #s(literal 1/4 binary32) v)) u))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) v)) (*.f32 u u)) (*.f32 u v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (/.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) (+.f32 u #s(literal 1 binary32))) (-.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u)) (*.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (-.f32 u #s(literal 1 binary32))) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u #s(literal 1 binary32))) (*.f32 (fma.f32 u u u) (neg.f32 u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 v)) (/.f32 (neg.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))) u)) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) v)) (/.f32 #s(literal 1 binary32) (*.f32 u v))) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -4 binary32)) (-.f32 #s(literal 1 binary32) u))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -4 binary32)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) u)) #s(literal -4 binary32) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (+.f32 u #s(literal 1 binary32))))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 u v)) (/.f32 (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) v) (*.f32 u v))) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)))) (*.f32 v #s(literal 1 binary32))) (*.f32 v (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))))) (*.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (/.f32 (fma.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) u) (/.f32 (-.f32 u #s(literal 1 binary32)) (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 u #s(literal 1 binary32)) (/.f32 (-.f32 u #s(literal 1 binary32)) (fma.f32 u u #s(literal -1 binary32)))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) v))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) (*.f32 (fma.f32 u u u) (neg.f32 u))) (neg.f32 (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (-.f32 (pow.f32 u #s(literal 4 binary32)) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) u)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) u))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (/.f32 (*.f32 (+.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (fma.f32 u u (-.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 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (*.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))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (exp.f32 (*.f32 (log1p.f32 u) #s(literal 2 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
(+.f32 (*.f32 (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
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)))) (*.f32 v #s(literal 1 binary32))) (*.f32 v (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))))) (*.f32 u u))))
Calls

4 calls:

242.0ms
(+.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)))))))
92.0ms
u
28.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
24.0ms
v
Results
AccuracySegmentsBranch
90.8%1u
95.3%2v
95.1%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
95.1%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 30 to 27 computations (10% saved)

regimes149.0ms (1.6%)

Memory
-3.4MiB live, 180.8MiB allocated
Counts
96 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 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 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) #s(literal -2 binary32))))
(fma.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) v #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u)) (*.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (-.f32 u #s(literal 1 binary32))) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u #s(literal 1 binary32))) (*.f32 (fma.f32 u u u) (neg.f32 u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 v)) (/.f32 (neg.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))) u)) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) #s(literal 1/2 binary32) (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) v)) (/.f32 #s(literal 1 binary32) (*.f32 u v))) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -4 binary32)) (-.f32 #s(literal 1 binary32) u))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -4 binary32)) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) u)) #s(literal -4 binary32) (*.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (+.f32 u #s(literal 1 binary32))))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 u v)) (/.f32 (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) v) (*.f32 u v))) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)))) (*.f32 v #s(literal 1 binary32))) (*.f32 v (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))))) (*.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (/.f32 (fma.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) u) (/.f32 (-.f32 u #s(literal 1 binary32)) (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 u #s(literal 1 binary32)) (/.f32 (-.f32 u #s(literal 1 binary32)) (fma.f32 u u #s(literal -1 binary32)))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (fma.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) u (/.f32 #s(literal -2 binary32) v)))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) v))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) (*.f32 (fma.f32 u u u) (neg.f32 u))) (neg.f32 (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (-.f32 (pow.f32 u #s(literal 4 binary32)) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) u)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))) u))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (exp (/ -2 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (/.f32 (*.f32 (+.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (fma.f32 u u (-.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 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -16 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal 24 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal -8 binary32)))) (*.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))))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (exp.f32 (*.f32 (log1p.f32 u) #s(literal 2 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 #s(approx (+ u (* (- 1 u) (exp (/ -2 v)))) (*.f32 (neg.f32 u) (expm1.f32 (/.f32 #s(literal -2 binary32) v)))))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)))) (*.f32 v #s(literal 1 binary32))) (*.f32 v (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))))) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

4 calls:

48.0ms
u
44.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
31.0ms
v
21.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
86.1%1u
90.8%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
90.8%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
90.7%2v
Compiler

Compiled 30 to 27 computations (10% saved)

regimes51.0ms (0.6%)

Memory
13.8MiB live, 98.0MiB allocated
Counts
84 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 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 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) #s(literal -2 binary32))))
(fma.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) v #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u (*.f32 (/.f32 #s(literal -2 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(approx (* (+ u 1) (+ u 1)) (fma.f32 #s(literal 2 binary32) u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (+.f32 (*.f32 u #s(literal 2 binary32)) (*.f32 u (/.f32 #s(literal -2 binary32) u))))))
(+.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)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (+.f32 u (fma.f32 u u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 u u (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 u (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 #s(literal 1 binary32) (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 u u u))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -4 binary32))) #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)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (*.f32 u u) #s(literal 1 binary32) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (/.f32 (*.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32))) (+.f32 u #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) #s(approx (* (+ u 1) (+ u 1)) #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
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#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) u) (*.f32 u v)) (/.f32 (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) v) (*.f32 u v))) (*.f32 u u))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

2 calls:

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)))))))
23.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Results
AccuracySegmentsBranch
90.8%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
90.8%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 28 to 23 computations (17.9% saved)

regimes38.0ms (0.4%)

Memory
4.6MiB live, 79.7MiB allocated
Counts
66 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 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 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) #s(literal -2 binary32))))
(fma.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) v #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u (*.f32 (/.f32 #s(literal -2 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(approx (* (+ u 1) (+ u 1)) (fma.f32 #s(literal 2 binary32) u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (+.f32 (*.f32 u #s(literal 2 binary32)) (*.f32 u (/.f32 #s(literal -2 binary32) u))))))
(+.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)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (+.f32 u (fma.f32 u u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 u u (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 u (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 #s(literal 1 binary32) (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 u u u))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -4 binary32))) #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)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (*.f32 u u) #s(literal 1 binary32) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (/.f32 (*.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32))) (+.f32 u #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) #s(approx (* (+ u 1) (+ u 1)) #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (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 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #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) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) #s(approx (* (+ u 1) (+ u 1)) (fma.f32 #s(literal 2 binary32) u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 #s(approx (* 1 (+ u 1)) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) #s(approx (* (+ u 1) (* u u)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u (neg.f32 (fma.f32 u u u)) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (fma.f32 u u u) (neg.f32 u) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 u) u) (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (neg.f32 u) u) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u #s(literal 1 binary32))) (fma.f32 u u u))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1 binary32) u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (/.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) (+.f32 u #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (*.f32 u u) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (fma.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 u u u))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (+.f32 (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 u (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 (+.f32 u #s(literal 1 binary32)) u (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 u u) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 u u) #s(literal 1 binary32) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (fma.f32 #s(literal 1 binary32) (*.f32 u u) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (fma.f32 (*.f32 u u) #s(literal 1 binary32) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 #s(literal 1 binary32) (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 (fma.f32 u u u) #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) #s(approx (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (/.f32 (fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) u #s(literal 1 binary32)) (*.f32 u u)))) (*.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (*.f32 u (fma.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u)) (*.f32 u u) #s(literal 1 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 v) (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.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) (*.f32 u u))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

2 calls:

18.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
17.0ms
(+.f32 #s(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
90.8%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
90.8%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 28 to 23 computations (17.9% saved)

regimes56.0ms (0.6%)

Memory
-8.1MiB live, 112.0MiB allocated
Counts
65 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 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 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) #s(literal -2 binary32))))
(fma.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) v #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u (*.f32 (/.f32 #s(literal -2 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(approx (* (+ u 1) (+ u 1)) (fma.f32 #s(literal 2 binary32) u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (+.f32 (*.f32 u #s(literal 2 binary32)) (*.f32 u (/.f32 #s(literal -2 binary32) u))))))
(+.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)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (+.f32 u (fma.f32 u u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 u u (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 u (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 #s(literal 1 binary32) (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 u u u))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 #s(approx (/ 1 (/ (/ v (* (+ (* (- 1 u) -4) 4) (- 1 u))) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -4 binary32))) #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)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (*.f32 u u) #s(literal 1 binary32) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 (/.f32 (*.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 u #s(literal 1 binary32))) (+.f32 u #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) #s(approx (* (+ u 1) (+ u 1)) #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (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 1/2 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #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) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -4 binary32) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) #s(approx (* (+ u 1) (+ u 1)) (fma.f32 #s(literal 2 binary32) u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2))))) (fma.f32 (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) v) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 #s(approx (* 1 (+ u 1)) #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) #s(approx (* (+ u 1) (* u u)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u (neg.f32 (fma.f32 u u u)) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (fma.f32 u u u) (neg.f32 u) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 u) u) (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (neg.f32 u) u) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) (fma.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u #s(literal 1 binary32))) (fma.f32 u u u))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1 binary32) u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (/.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) (+.f32 u #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 u #s(literal 1 binary32)) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (*.f32 u u) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (fma.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 u u u))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (+.f32 (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 u (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 (+.f32 u #s(literal 1 binary32)) u (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 u u) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 u u) #s(literal 1 binary32) u) u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (fma.f32 #s(literal 1 binary32) (*.f32 u u) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (fma.f32 u #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) u))) (fma.f32 (*.f32 u u) #s(literal 1 binary32) (+.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 #s(literal 1 binary32) (fma.f32 u u u) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (fma.f32 (fma.f32 u u u) #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) #s(approx (/ (- (- (/ 1 u) 2) (/ 2 v)) u) (/.f32 (fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) v)) u #s(literal 1 binary32)) (*.f32 u u)))) (*.f32 u u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) (*.f32 u (fma.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u)) (*.f32 u u) #s(literal 1 binary32)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 v) (*.f32 (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u))))) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (fma.f32 #s(literal -4 binary32) (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (+.f32 u #s(literal 1 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 (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) (fma.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) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) v) #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32) #s(literal 1 binary32))))
Outputs
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

18.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
18.0ms
v
17.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
90.1%2v
90.2%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)))))))
90.2%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes10.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 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 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) #s(literal -2 binary32))))
(fma.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) v #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u (*.f32 (/.f32 #s(literal -2 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(approx (* (+ u 1) (+ u 1)) (fma.f32 #s(literal 2 binary32) u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (+.f32 (*.f32 u #s(literal 2 binary32)) (*.f32 u (/.f32 #s(literal -2 binary32) u))))))
(+.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)))))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32)))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

2 calls:

5.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
4.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
90.2%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)))))))
90.2%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 28 to 23 computations (17.9% saved)

regimes12.0ms (0.1%)

Memory
-14.9MiB live, 22.2MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 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 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) #s(literal -2 binary32))))
(fma.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) v #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u (*.f32 (/.f32 #s(literal -2 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(approx (* (+ u 1) (+ u 1)) (fma.f32 #s(literal 2 binary32) u #s(literal 1 binary32)))) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (+.f32 (*.f32 u #s(literal 2 binary32)) (*.f32 u (/.f32 #s(literal -2 binary32) u))))))
Outputs
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (+.f32 (*.f32 u #s(literal 2 binary32)) (*.f32 u (/.f32 #s(literal -2 binary32) u))))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

2 calls:

7.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
4.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
90.2%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)))))))
90.2%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 28 to 23 computations (17.9% saved)

regimes11.0ms (0.1%)

Memory
-15.7MiB live, 21.5MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 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 #s(literal 2 binary32) u #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) #s(literal -2 binary32))))
(fma.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) (fma.f32 (/.f32 #s(literal -2 binary32) v) v #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u (/.f32 u v)) #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) u)) u))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 #s(literal 2 binary32) u (*.f32 (/.f32 #s(literal -2 binary32) u) u)))))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (/.f32 #s(approx (- (* 1 (+ u 1)) (* (+ u 1) (* u u))) #s(literal 1 binary32)) #s(approx (* (+ u 1) (+ u 1)) (fma.f32 #s(literal 2 binary32) u #s(literal 1 binary32)))) #s(literal -2 binary32))))
Outputs
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32))))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

2 calls:

5.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
4.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
90.2%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)))))))
90.2%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 28 to 23 computations (17.9% saved)

regimes7.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (pow (exp (/ -1 v)) 2)))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (fma.f32 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 #s(literal 2 binary32) u #s(literal -2 binary32))))
Outputs
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32))
Calls

3 calls:

2.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
2.0ms
v
2.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
89.4%2v
89.7%2(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
89.7%2(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 29 to 25 computations (13.8% saved)

regimes5.0ms (0.1%)

Memory
14.9MiB live, 14.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
1.0ms
v
1.0ms
u
1.0ms
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
Results
AccuracySegmentsBranch
6.8%1u
6.8%1v
6.8%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)))))))
6.8%1(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
Compiler

Compiled 30 to 27 computations (10% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.06502363830804825
0.15984927117824554
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.1363129615783691
-0.5130610466003418
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.1363129615783691
-0.5130610466003418
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.1363129615783691
-0.5130610466003418
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.1363129615783691
-0.5130610466003418
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch10.0ms (0.1%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.1363129615783691
-0.5130610466003418
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory
-46.6MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.1363129615783691
-0.5130610466003418
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.1363129615783691
-0.5130610466003418
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.1363129615783691
-0.5130610466003418
Compiler

Compiled 18 to 18 computations (0% saved)

simplify62.0ms (0.7%)

Memory
9.8MiB live, 47.6MiB allocated
Algorithm
1×egg-herbie
Rules
408×distribute-lft-neg-in-binary32-*.f32-neg.f32
300×unsub-neg-binary32--.f32-neg.f32-+.f32
246×neg-mul-1-binary32-*.f32-neg.f32
204×neg-sub0-binary32--.f32-neg.f32
170×cancel-sign-sub-binary32-+.f32-neg.f32-*.f32--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101711
1142711
2167711
3185711
4218711
5264711
6313711
7400711
8547711
9694711
10868711
111065711
121214711
131309711
141367711
151389711
161393711
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(if (<=.f32 v #s(literal 13421773/134217728 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)))) (*.f32 v #s(literal 1 binary32))) (*.f32 v (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))))) (*.f32 u u)))))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)))) (*.f32 v #s(literal 1 binary32))) (*.f32 v (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))))) (*.f32 u u)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (+.f32 (*.f32 u #s(literal 2 binary32)) (*.f32 u (/.f32 #s(literal -2 binary32) u)))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))))
(+.f32 (*.f32 (log.f32 (-.f32 u (*.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal 1 binary32))
(if (<=.f32 v #s(literal 13421773/134217728 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 v (log.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal 1 binary32) u) u)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)))) (*.f32 v #s(literal 1 binary32))) (*.f32 v (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))))) (*.f32 u u)))))
(if (<=.f32 v #s(literal 13421773/134217728 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)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u u) (/.f32 (-.f32 (*.f32 (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)) v) (*.f32 (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))) v))))))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)))) (*.f32 v #s(literal 1 binary32))) (*.f32 v (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))))) (*.f32 u u)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 (log.f32 (-.f32 u (*.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 u u) (/.f32 (-.f32 (*.f32 (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32)) v) (*.f32 (/.f32 u (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))) v))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 (log.f32 (-.f32 u (*.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (/ (* (- 1 (* u u)) (+ (* -4 (- 1 u)) 4)) (+ u 1)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) u) u))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 (log.f32 (-.f32 u (*.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(approx (+ (* (/ (* (- 1 u) (+ (* -4 (- 1 u)) 4)) v) 1/2) (+ (* (- 1 u) -2) 1)) (*.f32 (-.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v)) u)) (*.f32 u u)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 (log.f32 (-.f32 u (*.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal -1 binary32)) (+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 v #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 (log.f32 (-.f32 u (*.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal -1 binary32)) (+.f32 (*.f32 #s(approx (log (+ u (* (- 1 u) (exp (/ -2 v))))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) v) #s(literal -2 binary32))) v) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (+.f32 (*.f32 u #s(literal 2 binary32)) (*.f32 u (/.f32 #s(literal -2 binary32) u)))))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 (log.f32 (-.f32 u (*.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal -1 binary32)) (+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) #s(approx (* (- 1 u) -2) (+.f32 (*.f32 (/.f32 #s(literal -2 binary32) u) u) (*.f32 #s(literal 2 binary32) u)))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -2 binary32)))) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 (log.f32 (-.f32 u (*.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal -1 binary32)) (+.f32 #s(approx (* v (log (+ u (* (- 1 u) (exp (/ -2 v)))))) (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 #s(literal 1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 (log.f32 (-.f32 u (*.f32 (+.f32 #s(literal -1 binary32) u) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) v) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32)) #s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal 1 binary32)))
#s(approx (+ 1 (* v (log (+ u (* (- 1 u) (exp (/ -2 v))))))) #s(literal -1 binary32))

soundness1.5s (16.4%)

Memory
-111.3MiB live, 1 278.5MiB allocated
Rules
11 468×lower-fma.f64
11 468×lower-fma.f32
9 340×lower-fma.f64
9 340×lower-fma.f32
7 340×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054210060
115419408
249358680
086467758
04418149
112947681
242887203
087586381
049330
078330
1319322
22778322
08943307
03372986
19352772
230292668
083342386
070583
0108536
1528509
24514509
08159499
056394
083354
1370318
23124318
08494308
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×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 619 to 316 computations (48.9% saved)

preprocess84.0ms (0.9%)

Memory
16.1MiB live, 90.4MiB allocated
Compiler

Compiled 702 to 172 computations (75.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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