Rust f32::asinh

Time bar (total: 5.7s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.6%0.4%0%0%0%0
100%99.6%0%0.4%0%0%0%1
Compiler

Compiled 4 to 3 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-asinh, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.4s (24.6%)

Results
1.4s8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 403.0ms
Operation ival-asinh, time spent: 394.0ms, 98.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Bogosity

preprocess571.0ms (9.9%)

Algorithm
egg-herbie
Rules
53×fma-define
21×fma-neg
12×unsub-neg
12×sub-neg
10×neg-mul-1
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1150-0-(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))))
690-0-(sqrt.f32 (+.f32 (*.f32 x x) 1))
00-0-1
00-0-(*.f32 x x)
00-0-(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))
00-0-(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
00-0-(+.f32 (*.f32 x x) 1)
00-0-x
00-0-(fabs.f32 x)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1))))sensitivity1151
sqrt.f32(sqrt.f32 (+.f32 (*.f32 x x) 1))oflow-rescue690
(+.f32 (*.f32 x x) 1)overflow69
(*.f32 x x)overflow69
Confusion
Predicted +Predicted -
+1840
-072
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18400
-0171
Precision?
0.9945945945945946
Recall?
1.0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881
13272
23772
34172
44972
55672
66872
78172
89472
910672
1014972
1120772
1222672
1324672
1425472
1525872
Stop Event
saturated
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(asinh.f32 x)
(asinh.f32 (neg.f32 x))
(neg.f32 (asinh.f32 (neg.f32 x)))
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x 1)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
(asinh.f32 x)
(asinh.f32 (neg.f32 x))
(neg.f32 (asinh.f32 (neg.f32 x)))
Compiler

Compiled 128 to 68 computations (46.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
Operation ival-add, time spent: 28.0ms, 32.0% of total-time
Operation ival-log, time spent: 23.0ms, 26.0% of total-time
Operation ival-sqrt, time spent: 21.0ms, 24.0% of total-time
Operation ival-copysign, time spent: 5.0ms, 6.0% of total-time
Operation ival-mult, time spent: 4.0ms, 5.0% of total-time
Operation ival-fabs, time spent: 4.0ms, 5.0% of total-time
Operation const, time spent: 2.0ms, 2.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 21 to 13 computations (38.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
61.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
Compiler

Compiled 10 to 7 computations (30% saved)

localize142.0ms (2.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(+.f32 (fabs.f32 x) (hypot.f32 1 x))
61.8%
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
Compiler

Compiled 31 to 18 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
Operation composed, time spent: 35.0ms, 36.0% of total-time
Operation ival-log, time spent: 22.0ms, 23.0% of total-time
Operation ival-mult, time spent: 17.0ms, 17.0% of total-time
Operation ival-add, time spent: 10.0ms, 10.0% of total-time
Operation ival-sqrt, time spent: 8.0ms, 8.0% of total-time
Operation ival-copysign, time spent: 2.0ms, 2.0% of total-time
Operation ival-fabs, time spent: 2.0ms, 2.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

series6.0ms (0.1%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))>
#<alt (+.f32 (fabs.f32 x) (hypot.f32 1 x))>
Outputs
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt (+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))))>
#<alt (+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/24 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (*.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))))) (*.f32 1/2 (/.f32 1 (+.f32 1 (fabs.f32 x)))))))>
#<alt (+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (*.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/24 (+.f32 (*.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (*.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))) (*.f32 1/720 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 45 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (+.f32 (*.f32 45 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (*.f32 30 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 3))))))))) (*.f32 1/2 (/.f32 1 (+.f32 1 (fabs.f32 x)))))))>
#<alt (*.f32 -1 (log.f32 (/.f32 1 x)))>
#<alt (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))>
#<alt (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (/.f32 (fabs.f32 x) x)))>
#<alt (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/6 (/.f32 (+.f32 (*.f32 -3 (fabs.f32 x)) (*.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (/.f32 (fabs.f32 x) x))))>
#<alt (*.f32 -1 (log.f32 (/.f32 -1 x)))>
#<alt (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (fabs.f32 x) x)))>
#<alt (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (+.f32 (fabs.f32 x) (*.f32 -1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) x))) x)))>
#<alt (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (+.f32 (fabs.f32 x) (*.f32 -1 (/.f32 (+.f32 (*.f32 -1/6 (/.f32 (+.f32 (*.f32 -3 (fabs.f32 x)) (*.f32 2 (pow.f32 (fabs.f32 x) 3))) x)) (*.f32 1/2 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))))) x))) x)))>
#<alt (+.f32 1 (fabs.f32 x))>
#<alt (+.f32 1 (+.f32 (fabs.f32 x) (*.f32 1/2 (pow.f32 x 2))))>
#<alt (+.f32 1 (+.f32 (fabs.f32 x) (*.f32 (pow.f32 x 2) (+.f32 1/2 (*.f32 -1/8 (pow.f32 x 2))))))>
#<alt (+.f32 1 (+.f32 (fabs.f32 x) (*.f32 (pow.f32 x 2) (+.f32 1/2 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 1/16 (pow.f32 x 2)) 1/8))))))>
#<alt x>
#<alt (*.f32 x (+.f32 1 (/.f32 (fabs.f32 x) x)))>
#<alt (*.f32 x (+.f32 1 (+.f32 (/.f32 1/2 (pow.f32 x 2)) (/.f32 (fabs.f32 x) x))))>
#<alt (*.f32 x (-.f32 (+.f32 1 (+.f32 (/.f32 1/2 (pow.f32 x 2)) (/.f32 (fabs.f32 x) x))) (*.f32 1/8 (/.f32 1 (pow.f32 x 4)))))>
#<alt (*.f32 -1 x)>
#<alt (*.f32 -1 (*.f32 x (+.f32 1 (*.f32 -1 (/.f32 (fabs.f32 x) x)))))>
#<alt (*.f32 -1 (*.f32 x (+.f32 1 (*.f32 -1 (/.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) x)))))>
#<alt (*.f32 -1 (*.f32 x (+.f32 1 (*.f32 -1 (/.f32 (+.f32 (fabs.f32 x) (*.f32 -1 (/.f32 (-.f32 1/2 (*.f32 1/8 (/.f32 1 (pow.f32 x 2)))) x))) x)))))>
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
1.0ms
x
@inf
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
1.0ms
x
@-inf
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
0.0ms
x
@-inf
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
0.0ms
x
@inf
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))

rewrite190.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
501×prod-diff
480×log1p-expm1-u
480×expm1-log1p-u
410×pow1
377×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
112042
2155542
Stop Event
node limit
Counts
2 → 120
Calls
Call 1
Inputs
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
(+.f32 (fabs.f32 x) (hypot.f32 1 x))
Outputs
(+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 0)
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (/.f32 1 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(+.f32 (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (log.f32 (/.f32 1 (-.f32 x (hypot.f32 1 x)))))
(-.f32 0 (log.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))))
(-.f32 0 (log.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (+.f32 (fma.f32 x x 1) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x))))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))) (log.f32 (neg.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(-.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))) (log.f32 (neg.f32 (-.f32 x (hypot.f32 1 x)))))
(-.f32 (log.f32 (-.f32 (fma.f32 x x 1) (pow.f32 x 2))) (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (log.f32 (E.f32)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 1/3 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)))
(*.f32 (pow.f32 1 1/3) (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) 3) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) 1/2)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(pow.f32 (E.f32) (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))))
(neg.f32 (log.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(-.f32 (/.f32 (pow.f32 x 2) (-.f32 x (hypot.f32 1 x))) (/.f32 (fma.f32 x x 1) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (+.f32 x (hypot.f32 1 x)) (log.f32 (E.f32)))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(*.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (E.f32) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (E.f32) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 1 1/3) (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2) 3) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 1 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (fma.f32 x x 1) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (fma.f32 x x 1) (pow.f32 x 2)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (pow.f32 (E.f32) (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (E.f32))
(/.f32 (pow.f32 (E.f32) (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))) (pow.f32 (E.f32) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(/.f32 (pow.f32 (E.f32) (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))) (pow.f32 (E.f32) (log.f32 (-.f32 x (hypot.f32 1 x)))))
(/.f32 (exp.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (E.f32))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2) 1/2)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(pow.f32 (exp.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(pow.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) -1)
(pow.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) -1)
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(exp.f32 (*.f32 (log.f32 (E.f32)) (log.f32 (+.f32 x (hypot.f32 1 x)))))
(fma.f32 x 1 (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (hypot.f32 1 x) 1 x)
(fma.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)) x)
(fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(fma.f32 (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (fabs.f32 (cbrt.f32 x)) (hypot.f32 1 x))

simplify139.0ms (2.4%)

Algorithm
egg-herbie
Rules
655×fma-neg
487×distribute-lft-in
470×distribute-rgt-in
357×*-commutative
269×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04087112
19086644
226255772
376445772
Stop Event
node limit
Counts
144 → 234
Calls
Call 1
Inputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/24 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (*.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))))) (*.f32 1/2 (/.f32 1 (+.f32 1 (fabs.f32 x)))))))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (*.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/24 (+.f32 (*.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (*.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))) (*.f32 1/720 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 45 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (+.f32 (*.f32 45 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (*.f32 30 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 3))))))))) (*.f32 1/2 (/.f32 1 (+.f32 1 (fabs.f32 x)))))))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (/.f32 (fabs.f32 x) x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/6 (/.f32 (+.f32 (*.f32 -3 (fabs.f32 x)) (*.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (/.f32 (fabs.f32 x) x))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (fabs.f32 x) x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (+.f32 (fabs.f32 x) (*.f32 -1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) x))) x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (+.f32 (fabs.f32 x) (*.f32 -1 (/.f32 (+.f32 (*.f32 -1/6 (/.f32 (+.f32 (*.f32 -3 (fabs.f32 x)) (*.f32 2 (pow.f32 (fabs.f32 x) 3))) x)) (*.f32 1/2 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))))) x))) x)))
(+.f32 1 (fabs.f32 x))
(+.f32 1 (+.f32 (fabs.f32 x) (*.f32 1/2 (pow.f32 x 2))))
(+.f32 1 (+.f32 (fabs.f32 x) (*.f32 (pow.f32 x 2) (+.f32 1/2 (*.f32 -1/8 (pow.f32 x 2))))))
(+.f32 1 (+.f32 (fabs.f32 x) (*.f32 (pow.f32 x 2) (+.f32 1/2 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 1/16 (pow.f32 x 2)) 1/8))))))
x
(*.f32 x (+.f32 1 (/.f32 (fabs.f32 x) x)))
(*.f32 x (+.f32 1 (+.f32 (/.f32 1/2 (pow.f32 x 2)) (/.f32 (fabs.f32 x) x))))
(*.f32 x (-.f32 (+.f32 1 (+.f32 (/.f32 1/2 (pow.f32 x 2)) (/.f32 (fabs.f32 x) x))) (*.f32 1/8 (/.f32 1 (pow.f32 x 4)))))
(*.f32 -1 x)
(*.f32 -1 (*.f32 x (+.f32 1 (*.f32 -1 (/.f32 (fabs.f32 x) x)))))
(*.f32 -1 (*.f32 x (+.f32 1 (*.f32 -1 (/.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) x)))))
(*.f32 -1 (*.f32 x (+.f32 1 (*.f32 -1 (/.f32 (+.f32 (fabs.f32 x) (*.f32 -1 (/.f32 (-.f32 1/2 (*.f32 1/8 (/.f32 1 (pow.f32 x 2)))) x))) x)))))
(+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 0)
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (/.f32 1 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(+.f32 (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (log.f32 (/.f32 1 (-.f32 x (hypot.f32 1 x)))))
(-.f32 0 (log.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))))
(-.f32 0 (log.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (+.f32 (fma.f32 x x 1) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x))))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))) (log.f32 (neg.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(-.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))) (log.f32 (neg.f32 (-.f32 x (hypot.f32 1 x)))))
(-.f32 (log.f32 (-.f32 (fma.f32 x x 1) (pow.f32 x 2))) (log.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (log.f32 (E.f32)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 1/3 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)))
(*.f32 (pow.f32 1 1/3) (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) 3) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) 1/2)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(pow.f32 (E.f32) (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))))
(neg.f32 (log.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(-.f32 (/.f32 (pow.f32 x 2) (-.f32 x (hypot.f32 1 x))) (/.f32 (fma.f32 x x 1) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (+.f32 x (hypot.f32 1 x)) (log.f32 (E.f32)))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(*.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (E.f32) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))) (pow.f32 (E.f32) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (pow.f32 1 1/3) (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2) 3) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 1 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (fma.f32 x x 1) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (fma.f32 x x 1) (pow.f32 x 2)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (pow.f32 (E.f32) (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (E.f32))
(/.f32 (pow.f32 (E.f32) (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))) (pow.f32 (E.f32) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(/.f32 (pow.f32 (E.f32) (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))) (pow.f32 (E.f32) (log.f32 (-.f32 x (hypot.f32 1 x)))))
(/.f32 (exp.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (E.f32))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2) 1/2)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(pow.f32 (exp.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(pow.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) -1)
(pow.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) -1)
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(exp.f32 (*.f32 (log.f32 (E.f32)) (log.f32 (+.f32 x (hypot.f32 1 x)))))
(fma.f32 x 1 (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (hypot.f32 1 x) 1 x)
(fma.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)) x)
(fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(fma.f32 (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (fabs.f32 (cbrt.f32 x)) (hypot.f32 1 x))
Outputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))))
(fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/24 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (*.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))))) (*.f32 1/2 (/.f32 1 (+.f32 1 (fabs.f32 x)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (pow.f32 x 2) (fma.f32 -1/24 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (/.f32 1/2 (+.f32 1 (fabs.f32 x))))))
(fma.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 -1/8 (+.f32 1 (fabs.f32 x))) (/.f32 -1/8 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (/.f32 1/2 (+.f32 1 (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2)))) (/.f32 1/2 (+.f32 1 x))) (log1p.f32 x))
(+.f32 (log.f32 (+.f32 1 (fabs.f32 x))) (*.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 -1/24 (+.f32 (*.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (*.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))) (*.f32 1/720 (*.f32 (pow.f32 x 2) (+.f32 (*.f32 45 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (+.f32 (*.f32 45 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (*.f32 30 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 3))))))))) (*.f32 1/2 (/.f32 1 (+.f32 1 (fabs.f32 x)))))))
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (pow.f32 x 2) (fma.f32 (pow.f32 x 2) (fma.f32 -1/24 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (*.f32 (*.f32 1/720 (pow.f32 x 2)) (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)) (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3)))))) (/.f32 1/2 (+.f32 1 (fabs.f32 x))))))
(fma.f32 (pow.f32 x 2) (fma.f32 (pow.f32 x 2) (fma.f32 1/720 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)) (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3))))) (+.f32 (/.f32 -1/8 (+.f32 1 (fabs.f32 x))) (/.f32 -1/8 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (/.f32 1/2 (+.f32 1 (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))
(fma.f32 (pow.f32 x 2) (fma.f32 (pow.f32 x 2) (fma.f32 1/720 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 45 (+.f32 1 x)) (+.f32 (/.f32 45 (pow.f32 (+.f32 1 x) 2)) (/.f32 30 (pow.f32 (+.f32 1 x) 3))))) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2)))) (/.f32 1/2 (+.f32 1 x))) (log1p.f32 x))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 (fabs.f32 x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+.f32 (log.f32 x) (/.f32 x x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (/.f32 (fabs.f32 x) x)))
(fma.f32 -1 (neg.f32 (log.f32 x)) (fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)) (/.f32 (fabs.f32 x) x)))
(+.f32 (log.f32 x) (fma.f32 1/2 (/.f32 (-.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) (/.f32 (fabs.f32 x) x)))
(+.f32 (log.f32 x) (fma.f32 1/2 (/.f32 (-.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) (/.f32 x x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/6 (/.f32 (+.f32 (*.f32 -3 (fabs.f32 x)) (*.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (/.f32 (fabs.f32 x) x))))
(fma.f32 -1 (neg.f32 (log.f32 x)) (fma.f32 1/6 (/.f32 (fma.f32 -3 (fabs.f32 x) (*.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3)) (fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2)) (/.f32 (fabs.f32 x) x))))
(+.f32 (log.f32 x) (fma.f32 1/6 (/.f32 (fma.f32 (fabs.f32 x) -3 (*.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3)) (fma.f32 1/2 (/.f32 (-.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) (/.f32 (fabs.f32 x) x))))
(+.f32 (log.f32 x) (fma.f32 1/6 (/.f32 (fma.f32 x -3 (*.f32 2 (pow.f32 x 3))) (pow.f32 x 3)) (fma.f32 1/2 (/.f32 (-.f32 1 (pow.f32 x 2)) (pow.f32 x 2)) (/.f32 x x))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(neg.f32 (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (fabs.f32 x) x)))
(*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (fabs.f32 x) x)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 (fabs.f32 x) x))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 x x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (+.f32 (fabs.f32 x) (*.f32 -1/2 (/.f32 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))) x))) x)))
(*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (+.f32 (fabs.f32 x) (*.f32 -1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) x))) x)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 (fma.f32 -1/2 (/.f32 (-.f32 1 (pow.f32 x 2)) x) (fabs.f32 x)) x))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 (fma.f32 -1/2 (/.f32 (-.f32 1 (pow.f32 x 2)) x) x) x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (+.f32 (fabs.f32 x) (*.f32 -1 (/.f32 (+.f32 (*.f32 -1/6 (/.f32 (+.f32 (*.f32 -3 (fabs.f32 x)) (*.f32 2 (pow.f32 (fabs.f32 x) 3))) x)) (*.f32 1/2 (+.f32 1 (*.f32 -1 (pow.f32 (fabs.f32 x) 2))))) x))) x)))
(*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (+.f32 (fabs.f32 x) (neg.f32 (/.f32 (fma.f32 -1/6 (/.f32 (fma.f32 -3 (fabs.f32 x) (*.f32 2 (pow.f32 (fabs.f32 x) 3))) x) (+.f32 1/2 (*.f32 (neg.f32 (pow.f32 (fabs.f32 x) 2)) 1/2))) x))) x)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 1/2 (-.f32 1 (pow.f32 x 2)) (*.f32 -1/6 (/.f32 (fma.f32 (fabs.f32 x) -3 (*.f32 2 (pow.f32 (fabs.f32 x) 3))) x))) x)) x))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 (-.f32 x (/.f32 (fma.f32 1/2 (-.f32 1 (pow.f32 x 2)) (*.f32 (fma.f32 x -3 (*.f32 2 (pow.f32 x 3))) (/.f32 -1/6 x))) x)) x))
(+.f32 1 (fabs.f32 x))
(+.f32 1 x)
(+.f32 1 (+.f32 (fabs.f32 x) (*.f32 1/2 (pow.f32 x 2))))
(+.f32 (+.f32 1 (fabs.f32 x)) (*.f32 1/2 (pow.f32 x 2)))
(+.f32 1 (fma.f32 1/2 (pow.f32 x 2) (fabs.f32 x)))
(+.f32 1 (fma.f32 1/2 (pow.f32 x 2) x))
(+.f32 1 (+.f32 (fabs.f32 x) (*.f32 (pow.f32 x 2) (+.f32 1/2 (*.f32 -1/8 (pow.f32 x 2))))))
(+.f32 (+.f32 1 (fabs.f32 x)) (*.f32 (pow.f32 x 2) (+.f32 1/2 (*.f32 (pow.f32 x 2) -1/8))))
(+.f32 1 (fma.f32 (pow.f32 x 2) (fma.f32 (pow.f32 x 2) -1/8 1/2) (fabs.f32 x)))
(+.f32 1 (fma.f32 (pow.f32 x 2) (fma.f32 (pow.f32 x 2) -1/8 1/2) x))
(+.f32 1 (+.f32 (fabs.f32 x) (*.f32 (pow.f32 x 2) (+.f32 1/2 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 1/16 (pow.f32 x 2)) 1/8))))))
(+.f32 (+.f32 1 (fabs.f32 x)) (*.f32 (pow.f32 x 2) (+.f32 1/2 (*.f32 (pow.f32 x 2) (fma.f32 1/16 (pow.f32 x 2) -1/8)))))
(+.f32 1 (fma.f32 (pow.f32 x 2) (fma.f32 (pow.f32 x 2) (fma.f32 (pow.f32 x 2) 1/16 -1/8) 1/2) (fabs.f32 x)))
(+.f32 1 (fma.f32 (pow.f32 x 2) (fma.f32 (pow.f32 x 2) (fma.f32 (pow.f32 x 2) 1/16 -1/8) 1/2) x))
x
(*.f32 x (+.f32 1 (/.f32 (fabs.f32 x) x)))
(*.f32 x (+.f32 1 (/.f32 x x)))
(*.f32 x (+.f32 1 (+.f32 (/.f32 1/2 (pow.f32 x 2)) (/.f32 (fabs.f32 x) x))))
(*.f32 x (+.f32 1 (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 1/2 (pow.f32 x 2)))))
(*.f32 x (+.f32 (+.f32 1 (/.f32 x x)) (/.f32 1/2 (pow.f32 x 2))))
(*.f32 x (-.f32 (+.f32 1 (+.f32 (/.f32 1/2 (pow.f32 x 2)) (/.f32 (fabs.f32 x) x))) (*.f32 1/8 (/.f32 1 (pow.f32 x 4)))))
(*.f32 x (+.f32 1 (-.f32 (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 1/2 (pow.f32 x 2))) (/.f32 1/8 (pow.f32 x 4)))))
(*.f32 x (+.f32 1 (+.f32 (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 1/2 (pow.f32 x 2))) (/.f32 -1/8 (pow.f32 x 4)))))
(*.f32 x (+.f32 (/.f32 x x) (+.f32 (/.f32 1/2 (pow.f32 x 2)) (+.f32 1 (/.f32 -1/8 (pow.f32 x 4))))))
(*.f32 -1 x)
(neg.f32 x)
(*.f32 -1 (*.f32 x (+.f32 1 (*.f32 -1 (/.f32 (fabs.f32 x) x)))))
(*.f32 (neg.f32 x) (+.f32 1 (neg.f32 (/.f32 (fabs.f32 x) x))))
(*.f32 x (neg.f32 (-.f32 1 (/.f32 (fabs.f32 x) x))))
(-.f32 (/.f32 (pow.f32 x 2) x) x)
(*.f32 -1 (*.f32 x (+.f32 1 (*.f32 -1 (/.f32 (-.f32 (fabs.f32 x) (*.f32 1/2 (/.f32 1 x))) x)))))
(*.f32 (neg.f32 x) (+.f32 1 (neg.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 1/2 x)) x))))
(*.f32 x (neg.f32 (-.f32 1 (/.f32 (+.f32 (fabs.f32 x) (/.f32 -1/2 x)) x))))
(-.f32 (/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) x) x) x)
(*.f32 -1 (*.f32 x (+.f32 1 (*.f32 -1 (/.f32 (+.f32 (fabs.f32 x) (*.f32 -1 (/.f32 (-.f32 1/2 (*.f32 1/8 (/.f32 1 (pow.f32 x 2)))) x))) x)))))
(*.f32 (neg.f32 x) (+.f32 1 (neg.f32 (/.f32 (+.f32 (fabs.f32 x) (neg.f32 (/.f32 (-.f32 1/2 (/.f32 1/8 (pow.f32 x 2))) x))) x))))
(*.f32 (-.f32 1 (/.f32 (-.f32 (fabs.f32 x) (-.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3)))) x)) (neg.f32 x))
(-.f32 (*.f32 x (/.f32 (+.f32 (+.f32 x (/.f32 -1/2 x)) (/.f32 1/8 (pow.f32 x 3))) x)) x)
(+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 0)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
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(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 1 (*.f32 x (+.f32 (-.f32 x (hypot.f32 1 x)) x))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (fma.f32 x x 1) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x)))))
(/.f32 1 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 1 (*.f32 x (+.f32 (-.f32 x (hypot.f32 1 x)) x))))
(/.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2))))
(/.f32 1 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 1 (*.f32 x (+.f32 (-.f32 x (hypot.f32 1 x)) x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 (-.f32 (fma.f32 x x 1) (pow.f32 x 2)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 (pow.f32 (E.f32) (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (E.f32))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(/.f32 (pow.f32 (E.f32) (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)))) (pow.f32 (E.f32) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(/.f32 (pow.f32 (E.f32) (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)))) (pow.f32 (E.f32) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))))
(/.f32 (pow.f32 (E.f32) (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)))) (pow.f32 (E.f32) (log.f32 (+.f32 1 (*.f32 x (+.f32 (-.f32 x (hypot.f32 1 x)) x))))))
(/.f32 (pow.f32 (E.f32) (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)))) (pow.f32 (E.f32) (log.f32 (-.f32 x (hypot.f32 1 x)))))
(/.f32 (pow.f32 (E.f32) (log.f32 -1)) (pow.f32 (E.f32) (log.f32 (-.f32 x (hypot.f32 1 x)))))
(/.f32 (exp.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (E.f32))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2) 1/2)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) -1)
(/.f32 1 (/.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (pow.f32 x 2)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 1 (*.f32 x (+.f32 (-.f32 x (hypot.f32 1 x)) x))))
(pow.f32 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (fma.f32 x x 1))) -1)
(/.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x 1)) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (fabs.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3)) 1/3))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (*.f32 (log.f32 (E.f32)) (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 x 1 (hypot.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (hypot.f32 1 x) 1 x)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)) x)
(fma.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (cbrt.f32 (hypot.f32 1 x)) (cbrt.f32 (fma.f32 x x 1)) x)
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (hypot.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (fabs.f32 (cbrt.f32 x)) (hypot.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))

eval93.0ms (1.6%)

Compiler

Compiled 4514 to 3174 computations (29.7% saved)

prune51.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New21915234
Fresh000
Picked101
Done000
Total22015235
Accuracy
100.0%
Counts
235 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.5%
(copysign.f32 (fma.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2)))) (/.f32 1/2 (+.f32 1 x))) (log1p.f32 x)) x)
48.8%
(copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) x)
36.7%
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
14.7%
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
36.1%
(copysign.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (log.f32 (E.f32))) x)
40.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
68.6%
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
56.1%
(copysign.f32 (log1p.f32 x) x)
5.5%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) x) x) x)) x)
36.8%
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
31.1%
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
18.8%
(copysign.f32 (log.f32 (+.f32 1 x)) x)
26.8%
(copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)
14.5%
(copysign.f32 (log.f32 (neg.f32 x)) x)
31.6%
(copysign.f32 (exp.f32 (*.f32 (*.f32 3 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1/3)) x)
Compiler

Compiled 344 to 244 computations (29.1% saved)

localize443.0ms (7.7%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(+.f32 x (hypot.f32 1 x))
79.9%
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
79.9%
(log.f32 (+.f32 x (hypot.f32 1 x)))
80.0%
(log.f32 (+.f32 1 (fabs.f32 x)))
99.9%
(+.f32 (log.f32 x) (/.f32 x x))
100.0%
(log1p.f32 x)
100.0%
(log1p.f32 (fabs.f32 x))
Compiler

Compiled 106 to 54 computations (49.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 203.0ms
Operation composed, time spent: 69.0ms, 34.0% of total-time
Operation ival-log, time spent: 46.0ms, 23.0% of total-time
Operation ival-mult, time spent: 27.0ms, 13.0% of total-time
Operation ival-add, time spent: 26.0ms, 13.0% of total-time
Operation ival-sqrt, time spent: 12.0ms, 6.0% of total-time
Operation ival-copysign, time spent: 11.0ms, 5.0% of total-time
Operation ival-sub, time spent: 4.0ms, 2.0% of total-time
Operation const, time spent: 3.0ms, 1.0% of total-time
Operation ival-div, time spent: 2.0ms, 1.0% of total-time
Operation ival-fabs, time spent: 2.0ms, 1.0% of total-time

series194.0ms (3.4%)

Counts
7 → 72
Calls
Call 1
Inputs
#<alt (log1p.f32 (fabs.f32 x))>
#<alt (log1p.f32 x)>
#<alt (+.f32 (log.f32 x) (/.f32 x x))>
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt (log.f32 (+.f32 x (hypot.f32 1 x)))>
#<alt (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)>
#<alt (+.f32 x (hypot.f32 1 x))>
Outputs
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt (log.f32 (+.f32 1 (fabs.f32 x)))>
#<alt x>
#<alt (*.f32 x (+.f32 1 (*.f32 -1/2 x)))>
#<alt (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2))))>
#<alt (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 x (+.f32 1/3 (*.f32 -1/4 x))) 1/2))))>
#<alt (*.f32 -1 (log.f32 (/.f32 1 x)))>
#<alt (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x))>
#<alt (-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x)) (/.f32 1/2 (pow.f32 x 2)))>
#<alt (-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 1 x) (*.f32 1/3 (/.f32 1 (pow.f32 x 3))))) (/.f32 1/2 (pow.f32 x 2)))>
#<alt (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x))))>
#<alt (+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (/.f32 1 x)))>
#<alt (+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (-.f32 (*.f32 1/2 (/.f32 1 x)) 1) x))))>
#<alt (+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (-.f32 (*.f32 -1 (/.f32 (-.f32 (*.f32 1/3 (/.f32 1 x)) 1/2) x)) 1) x))))>
#<alt (+.f32 1 (log.f32 x))>
#<alt (+.f32 1 (log.f32 x))>
#<alt (+.f32 1 (log.f32 x))>
#<alt (+.f32 1 (log.f32 x))>
#<alt (+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))>
#<alt (+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))>
#<alt (+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))>
#<alt (+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))>
#<alt (+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))>
#<alt (+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))>
#<alt (+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))>
#<alt (+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))>
#<alt x>
#<alt (*.f32 x (+.f32 1 (*.f32 -1/6 (pow.f32 x 2))))>
#<alt (*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 3/40 (pow.f32 x 2)) 1/6))))>
#<alt (*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 (pow.f32 x 2) (+.f32 3/40 (*.f32 -5/112 (pow.f32 x 2)))) 1/6))))>
#<alt (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))>
#<alt (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))>
#<alt (-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (/.f32 3/32 (pow.f32 x 4)))>
#<alt (-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))) (/.f32 3/32 (pow.f32 x 4)))>
#<alt (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))>
#<alt (-.f32 (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))>
#<alt (-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))>
#<alt (-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4)))) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))>
#<alt x>
#<alt (*.f32 x (+.f32 1 (*.f32 -1/6 (pow.f32 x 2))))>
#<alt (*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 3/40 (pow.f32 x 2)) 1/6))))>
#<alt (*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 (pow.f32 x 2) (+.f32 3/40 (*.f32 -5/112 (pow.f32 x 2)))) 1/6))))>
#<alt (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))>
#<alt (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))>
#<alt (-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (/.f32 3/32 (pow.f32 x 4)))>
#<alt (-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))) (/.f32 3/32 (pow.f32 x 4)))>
#<alt (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))>
#<alt (-.f32 (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))>
#<alt (-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))>
#<alt (-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4)))) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))>
#<alt 1>
#<alt (+.f32 1 x)>
#<alt (+.f32 1 (*.f32 x (+.f32 1 (*.f32 1/2 x))))>
#<alt (+.f32 1 (*.f32 x (+.f32 1 (*.f32 x (+.f32 1/2 (*.f32 -1/8 (pow.f32 x 2)))))))>
#<alt (*.f32 2 x)>
#<alt (*.f32 x (+.f32 2 (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))))>
#<alt (*.f32 x (-.f32 (+.f32 2 (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))) (/.f32 1/8 (pow.f32 x 4))))>
#<alt (*.f32 x (-.f32 (+.f32 2 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 x 2))) (*.f32 1/16 (/.f32 1 (pow.f32 x 6))))) (/.f32 1/8 (pow.f32 x 4))))>
#<alt (/.f32 -1/2 x)>
#<alt (*.f32 -1 (/.f32 (-.f32 1/2 (*.f32 1/8 (/.f32 1 (pow.f32 x 2)))) x))>
#<alt (*.f32 -1 (/.f32 (-.f32 (+.f32 1/2 (/.f32 1/16 (pow.f32 x 4))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2)))) x))>
#<alt (*.f32 -1 (/.f32 (-.f32 (+.f32 1/2 (/.f32 1/16 (pow.f32 x 4))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 2))) (*.f32 5/128 (/.f32 1 (pow.f32 x 6))))) x))>
Calls

21 calls:

TimeVariablePointExpression
76.0ms
x
@0
(+ (log x) (/ x x))
29.0ms
x
@0
(log (+ 1 (fabs x)))
29.0ms
x
@inf
(+ (log x) (/ x x))
23.0ms
x
@inf
(log (+ 1 (fabs x)))
14.0ms
x
@-inf
(log (+ 1 (fabs x)))

rewrite170.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1297×log1p-expm1-u
911×prod-diff
143×expm1-log1p-u
135×add-exp-log
133×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020115
1333103
24271103
Stop Event
node limit
Counts
7 → 222
Calls
Call 1
Inputs
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(+.f32 (log.f32 x) (/.f32 x x))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(+.f32 x (hypot.f32 1 x))
Outputs
(+.f32 0 (log1p.f32 x))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (log.f32 (cbrt.f32 (+.f32 x 1))))
(+.f32 (log.f32 (hypot.f32 1 (sqrt.f32 x))) (log.f32 (hypot.f32 1 (sqrt.f32 x))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 x))) 1)
(-.f32 (log.f32 (+.f32 1 (pow.f32 x 3))) (log.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 2) x)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 x 2))) (log.f32 (-.f32 1 x)))
(*.f32 1 (log1p.f32 x))
(*.f32 (log1p.f32 x) 1)
(*.f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (cbrt.f32 (log1p.f32 x)))
(*.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))
(pow.f32 (log1p.f32 x) 1)
(pow.f32 (cbrt.f32 (log1p.f32 x)) 3)
(pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 x)) 2)
(sqrt.f32 (pow.f32 (log1p.f32 x) 2))
(log.f32 (+.f32 x 1))
(cbrt.f32 (pow.f32 (log1p.f32 x) 3))
(expm1.f32 (log1p.f32 (log1p.f32 x)))
(exp.f32 (log.f32 (log1p.f32 x)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 x)) 1))
(+.f32 0 (log1p.f32 x))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (log.f32 (cbrt.f32 (+.f32 x 1))))
(+.f32 (log.f32 (hypot.f32 1 (sqrt.f32 x))) (log.f32 (hypot.f32 1 (sqrt.f32 x))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 x))) 1)
(-.f32 (log.f32 (+.f32 1 (pow.f32 x 3))) (log.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 2) x)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 x 2))) (log.f32 (-.f32 1 x)))
(*.f32 1 (log1p.f32 x))
(*.f32 (log1p.f32 x) 1)
(*.f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (cbrt.f32 (log1p.f32 x)))
(*.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))
(pow.f32 (log1p.f32 x) 1)
(pow.f32 (cbrt.f32 (log1p.f32 x)) 3)
(pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 x)) 2)
(sqrt.f32 (pow.f32 (log1p.f32 x) 2))
(log.f32 (+.f32 x 1))
(cbrt.f32 (pow.f32 (log1p.f32 x) 3))
(expm1.f32 (log1p.f32 (log1p.f32 x)))
(exp.f32 (log.f32 (log1p.f32 x)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 x)) 1))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 x) 1))) 1)
(-.f32 (/.f32 (pow.f32 (log.f32 x) 2) (+.f32 (log.f32 x) -1)) (/.f32 1 (+.f32 (log.f32 x) -1)))
(*.f32 (+.f32 (log.f32 x) 1) 1)
(*.f32 1 (+.f32 (log.f32 x) 1))
(*.f32 (cbrt.f32 (+.f32 (log.f32 x) 1)) (pow.f32 (cbrt.f32 (+.f32 (log.f32 x) 1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 x) 1)) 2) (cbrt.f32 (+.f32 (log.f32 x) 1)))
(*.f32 (sqrt.f32 (+.f32 (log.f32 x) 1)) (sqrt.f32 (+.f32 (log.f32 x) 1)))
(*.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x)))))
(*.f32 (+.f32 (pow.f32 (log.f32 x) 2) -1) (/.f32 1 (+.f32 (log.f32 x) -1)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x))) (+.f32 1 (pow.f32 (log.f32 x) 3))))
(/.f32 1 (/.f32 (+.f32 (log.f32 x) -1) (+.f32 (pow.f32 (log.f32 x) 2) -1)))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (+.f32 1 (-.f32 (pow.f32 (log.f32 x) 2) (log.f32 x))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 2) -1) (+.f32 (log.f32 x) -1))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) 2) -1)) (neg.f32 (+.f32 (log.f32 x) -1)))
(/.f32 (-.f32 1 (pow.f32 (log.f32 x) 2)) (-.f32 1 (log.f32 x)))
(pow.f32 (+.f32 (log.f32 x) 1) 1)
(pow.f32 (cbrt.f32 (+.f32 (log.f32 x) 1)) 3)
(pow.f32 (pow.f32 (+.f32 (log.f32 x) 1) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (log.f32 x) 1)) 2)
(sqrt.f32 (pow.f32 (+.f32 (log.f32 x) 1) 2))
(log.f32 (*.f32 x (E.f32)))
(log.f32 (+.f32 1 (-.f32 (*.f32 x (E.f32)) 1)))
(cbrt.f32 (pow.f32 (+.f32 (log.f32 x) 1) 3))
(expm1.f32 (log1p.f32 (+.f32 (log.f32 x) 1)))
(log1p.f32 (-.f32 (*.f32 x (E.f32)) 1))
(exp.f32 (log1p.f32 (log.f32 x)))
(exp.f32 (*.f32 (log1p.f32 (log.f32 x)) 1))
(fma.f32 1 (log.f32 x) 1)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) 1)
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) 1)
(+.f32 0 (log1p.f32 x))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (log.f32 (cbrt.f32 (+.f32 x 1))))
(+.f32 (log.f32 (hypot.f32 1 (sqrt.f32 x))) (log.f32 (hypot.f32 1 (sqrt.f32 x))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 x))) 1)
(-.f32 (log.f32 (+.f32 1 (pow.f32 x 3))) (log.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 2) x)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 x 2))) (log.f32 (-.f32 1 x)))
(*.f32 1 (log1p.f32 x))
(*.f32 (log1p.f32 x) 1)
(*.f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (cbrt.f32 (log1p.f32 x)))
(*.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))
(pow.f32 (log1p.f32 x) 1)
(pow.f32 (cbrt.f32 (log1p.f32 x)) 3)
(pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 x)) 2)
(sqrt.f32 (pow.f32 (log1p.f32 x) 2))
(cbrt.f32 (pow.f32 (log1p.f32 x) 3))
(expm1.f32 (log1p.f32 (log1p.f32 x)))
(log1p.f32 x)
(exp.f32 (log.f32 (log1p.f32 x)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 x)) 1))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 1 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1))
(+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 0)
(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (/.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(-.f32 (/.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (/.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (/.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1)))
(/.f32 1 (/.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1)))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (-.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1)) (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1)) (neg.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 3)) (+.f32 1 (-.f32 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))
(/.f32 (-.f32 1 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))) (-.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(fma.f32 1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(+.f32 1 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1))
(+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 0)
(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 1)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (/.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1)))
(/.f32 1 (/.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1)))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (-.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1) (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1)) (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) -1)) (neg.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) 3)) (+.f32 1 (-.f32 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))))
(/.f32 (-.f32 1 (*.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))) (-.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 1 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(fma.f32 1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(-.f32 (exp.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (/.f32 (pow.f32 x 2) (-.f32 x (hypot.f32 1 x))) (/.f32 (pow.f32 (hypot.f32 1 x) 2) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (E.f32) (exp.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))
(*.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)) (exp.f32 -1))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(*.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2)) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2))))
(/.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)) (E.f32))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (pow.f32 (hypot.f32 1 x) 2) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2)) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 2) (pow.f32 x 2)) (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (hypot.f32 1 x)))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))

simplify158.0ms (2.7%)

Algorithm
egg-herbie
Rules
516×associate-+r+
322×fma-neg
263×associate--r+
261×times-frac
239×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046011541
1107511151
231159374
Stop Event
node limit
Counts
294 → 289
Calls
Call 1
Inputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
x
(*.f32 x (+.f32 1 (*.f32 -1/2 x)))
(*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2))))
(*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 x (+.f32 1/3 (*.f32 -1/4 x))) 1/2))))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x)) (/.f32 1/2 (pow.f32 x 2)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 1 x) (*.f32 1/3 (/.f32 1 (pow.f32 x 3))))) (/.f32 1/2 (pow.f32 x 2)))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (/.f32 1 x)))
(+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (-.f32 (*.f32 1/2 (/.f32 1 x)) 1) x))))
(+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (-.f32 (*.f32 -1 (/.f32 (-.f32 (*.f32 1/3 (/.f32 1 x)) 1/2) x)) 1) x))))
(+.f32 1 (log.f32 x))
(+.f32 1 (log.f32 x))
(+.f32 1 (log.f32 x))
(+.f32 1 (log.f32 x))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
x
(*.f32 x (+.f32 1 (*.f32 -1/6 (pow.f32 x 2))))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 3/40 (pow.f32 x 2)) 1/6))))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 (pow.f32 x 2) (+.f32 3/40 (*.f32 -5/112 (pow.f32 x 2)))) 1/6))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (/.f32 3/32 (pow.f32 x 4)))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))) (/.f32 3/32 (pow.f32 x 4)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
(-.f32 (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4)))) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))
x
(*.f32 x (+.f32 1 (*.f32 -1/6 (pow.f32 x 2))))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 3/40 (pow.f32 x 2)) 1/6))))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 (pow.f32 x 2) (+.f32 3/40 (*.f32 -5/112 (pow.f32 x 2)))) 1/6))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (/.f32 3/32 (pow.f32 x 4)))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))) (/.f32 3/32 (pow.f32 x 4)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
(-.f32 (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4)))) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))
1
(+.f32 1 x)
(+.f32 1 (*.f32 x (+.f32 1 (*.f32 1/2 x))))
(+.f32 1 (*.f32 x (+.f32 1 (*.f32 x (+.f32 1/2 (*.f32 -1/8 (pow.f32 x 2)))))))
(*.f32 2 x)
(*.f32 x (+.f32 2 (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))))
(*.f32 x (-.f32 (+.f32 2 (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))) (/.f32 1/8 (pow.f32 x 4))))
(*.f32 x (-.f32 (+.f32 2 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 x 2))) (*.f32 1/16 (/.f32 1 (pow.f32 x 6))))) (/.f32 1/8 (pow.f32 x 4))))
(/.f32 -1/2 x)
(*.f32 -1 (/.f32 (-.f32 1/2 (*.f32 1/8 (/.f32 1 (pow.f32 x 2)))) x))
(*.f32 -1 (/.f32 (-.f32 (+.f32 1/2 (/.f32 1/16 (pow.f32 x 4))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2)))) x))
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(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(fma.f32 1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(-.f32 (exp.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (/.f32 (pow.f32 x 2) (-.f32 x (hypot.f32 1 x))) (/.f32 (pow.f32 (hypot.f32 1 x) 2) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (E.f32) (exp.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))
(*.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)) (exp.f32 -1))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(*.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2)) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2))))
(/.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)) (E.f32))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (pow.f32 (hypot.f32 1 x) 2) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2)) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 2) (pow.f32 x 2)) (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (hypot.f32 1 x)))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
Outputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
x
(*.f32 x (+.f32 1 (*.f32 -1/2 x)))
(*.f32 x (+.f32 1 (*.f32 x -1/2)))
(*.f32 x (fma.f32 x -1/2 1))
(*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2))))
(*.f32 x (+.f32 1 (*.f32 x (fma.f32 1/3 x -1/2))))
(*.f32 x (fma.f32 x (fma.f32 x 1/3 -1/2) 1))
(*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 x (+.f32 1/3 (*.f32 -1/4 x))) 1/2))))
(*.f32 x (+.f32 1 (*.f32 x (fma.f32 x (+.f32 1/3 (*.f32 x -1/4)) -1/2))))
(*.f32 x (fma.f32 x (fma.f32 x (fma.f32 x -1/4 1/3) -1/2) 1))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x))
(fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1 x))
(+.f32 (/.f32 1 x) (log.f32 x))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x)) (/.f32 1/2 (pow.f32 x 2)))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1 x)) (/.f32 1/2 (pow.f32 x 2)))
(+.f32 (/.f32 1 x) (+.f32 (log.f32 x) (/.f32 -1/2 (pow.f32 x 2))))
(+.f32 (/.f32 (+.f32 1 (/.f32 -1/2 x)) x) (log.f32 x))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (/.f32 1 x) (*.f32 1/3 (/.f32 1 (pow.f32 x 3))))) (/.f32 1/2 (pow.f32 x 2)))
(-.f32 (+.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1 x)) (/.f32 1/3 (pow.f32 x 3))) (/.f32 1/2 (pow.f32 x 2)))
(+.f32 (+.f32 (/.f32 1 x) (log.f32 x)) (+.f32 (/.f32 1/3 (pow.f32 x 3)) (/.f32 -1/2 (pow.f32 x 2))))
(+.f32 (+.f32 (/.f32 (+.f32 1 (/.f32 -1/2 x)) x) (log.f32 x)) (/.f32 1/3 (pow.f32 x 3)))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 x))))
(-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (/.f32 1 x)))
(+.f32 (log.f32 -1) (fma.f32 -1 (log.f32 (/.f32 -1 x)) (/.f32 1 x)))
(+.f32 (/.f32 1 x) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (-.f32 (*.f32 1/2 (/.f32 1 x)) 1) x))))
(+.f32 (log.f32 -1) (*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (+.f32 (/.f32 1/2 x) -1) x))))
(-.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))) (/.f32 (+.f32 -1 (/.f32 1/2 x)) x))
(+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))) (/.f32 (+.f32 1 (/.f32 -1/2 x)) x))
(+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 -1 (/.f32 (-.f32 (*.f32 -1 (/.f32 (-.f32 (*.f32 1/3 (/.f32 1 x)) 1/2) x)) 1) x))))
(+.f32 (log.f32 -1) (*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (fma.f32 -1 (/.f32 (+.f32 (/.f32 1/3 x) -1/2) x) -1) x))))
(-.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))) (/.f32 (fma.f32 -1 (/.f32 (+.f32 -1/2 (/.f32 1/3 x)) x) -1) x))
(-.f32 (log.f32 -1) (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (+.f32 -1 (/.f32 (+.f32 1/2 (/.f32 -1/3 x)) x)) x)))
(+.f32 1 (log.f32 x))
(+.f32 1 (log.f32 x))
(+.f32 1 (log.f32 x))
(+.f32 1 (log.f32 x))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (log.f32 x))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (log.f32 x))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (log.f32 x))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (log.f32 x))
(+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (+.f32 1 (log.f32 -1)) (neg.f32 (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 1 (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (+.f32 1 (log.f32 -1)) (neg.f32 (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 1 (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (+.f32 1 (log.f32 -1)) (neg.f32 (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 1 (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (+.f32 1 (log.f32 -1)) (neg.f32 (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 1 (log.f32 -1)) (log.f32 (/.f32 -1 x)))
x
(*.f32 x (+.f32 1 (*.f32 -1/6 (pow.f32 x 2))))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) -1/6)))
(+.f32 x (*.f32 (pow.f32 x 3) -1/6))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 3/40 (pow.f32 x 2)) 1/6))))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (fma.f32 3/40 (pow.f32 x 2) -1/6))))
(+.f32 x (*.f32 (pow.f32 x 3) (fma.f32 (pow.f32 x 2) 3/40 -1/6)))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 (pow.f32 x 2) (+.f32 3/40 (*.f32 -5/112 (pow.f32 x 2)))) 1/6))))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (fma.f32 (pow.f32 x 2) (+.f32 3/40 (*.f32 (pow.f32 x 2) -5/112)) -1/6))))
(+.f32 x (*.f32 (pow.f32 x 3) (fma.f32 (pow.f32 x 2) (fma.f32 (pow.f32 x 2) -5/112 3/40) -1/6)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 2))
(+.f32 (log.f32 x) (log.f32 2))
(+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 2) (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1/4 (pow.f32 x 2))))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (/.f32 1/4 (pow.f32 x 2))))
(+.f32 (log.f32 x) (+.f32 (log.f32 2) (/.f32 1/4 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (/.f32 3/32 (pow.f32 x 4)))
(+.f32 (log.f32 2) (-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1/4 (pow.f32 x 2))) (/.f32 3/32 (pow.f32 x 4))))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (-.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 3/32 (pow.f32 x 4)))))
(+.f32 (+.f32 (log.f32 2) (/.f32 1/4 (pow.f32 x 2))) (+.f32 (log.f32 x) (/.f32 -3/32 (pow.f32 x 4))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))) (/.f32 3/32 (pow.f32 x 4)))
(+.f32 (log.f32 2) (-.f32 (+.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1/4 (pow.f32 x 2))) (/.f32 5/96 (pow.f32 x 6))) (/.f32 3/32 (pow.f32 x 4))))
(+.f32 (+.f32 (+.f32 (log.f32 x) (/.f32 1/4 (pow.f32 x 2))) (/.f32 5/96 (pow.f32 x 6))) (+.f32 (log.f32 2) (/.f32 -3/32 (pow.f32 x 4))))
(+.f32 (+.f32 (+.f32 (log.f32 2) (/.f32 1/4 (pow.f32 x 2))) (+.f32 (log.f32 x) (/.f32 -3/32 (pow.f32 x 4)))) (/.f32 5/96 (pow.f32 x 6)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))
(-.f32 (+.f32 (log.f32 1/2) (log.f32 (/.f32 -1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 1/2) (-.f32 (log.f32 (/.f32 -1 x)) (/.f32 1/4 (pow.f32 x 2))))
(+.f32 (log.f32 (/.f32 -1 x)) (-.f32 (log.f32 1/2) (/.f32 1/4 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 1/2) (-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4))) (/.f32 1/4 (pow.f32 x 2))))
(+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (-.f32 (/.f32 3/32 (pow.f32 x 4)) (/.f32 1/4 (pow.f32 x 2)))))
(+.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4))) (-.f32 (log.f32 1/2) (/.f32 1/4 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4)))) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))
(+.f32 (log.f32 1/2) (-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 3/32 (pow.f32 x 4))) (+.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 5/96 (pow.f32 x 6)))))
(+.f32 (log.f32 1/2) (+.f32 (log.f32 (/.f32 -1 x)) (-.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 5/96 (pow.f32 x 6))))))
(+.f32 (+.f32 (log.f32 1/2) (/.f32 3/32 (pow.f32 x 4))) (+.f32 (log.f32 (/.f32 -1 x)) (-.f32 (/.f32 -1/4 (pow.f32 x 2)) (/.f32 5/96 (pow.f32 x 6)))))
x
(*.f32 x (+.f32 1 (*.f32 -1/6 (pow.f32 x 2))))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) -1/6)))
(+.f32 x (*.f32 (pow.f32 x 3) -1/6))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 3/40 (pow.f32 x 2)) 1/6))))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (fma.f32 3/40 (pow.f32 x 2) -1/6))))
(+.f32 x (*.f32 (pow.f32 x 3) (fma.f32 (pow.f32 x 2) 3/40 -1/6)))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (-.f32 (*.f32 (pow.f32 x 2) (+.f32 3/40 (*.f32 -5/112 (pow.f32 x 2)))) 1/6))))
(*.f32 x (+.f32 1 (*.f32 (pow.f32 x 2) (fma.f32 (pow.f32 x 2) (+.f32 3/40 (*.f32 (pow.f32 x 2) -5/112)) -1/6))))
(+.f32 x (*.f32 (pow.f32 x 3) (fma.f32 (pow.f32 x 2) (fma.f32 (pow.f32 x 2) -5/112 3/40) -1/6)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 2))
(+.f32 (log.f32 x) (log.f32 2))
(+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 2) (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1/4 (pow.f32 x 2))))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (/.f32 1/4 (pow.f32 x 2))))
(+.f32 (log.f32 x) (+.f32 (log.f32 2) (/.f32 1/4 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (/.f32 3/32 (pow.f32 x 4)))
(+.f32 (log.f32 2) (-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1/4 (pow.f32 x 2))) (/.f32 3/32 (pow.f32 x 4))))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (-.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 3/32 (pow.f32 x 4)))))
(+.f32 (+.f32 (log.f32 2) (/.f32 1/4 (pow.f32 x 2))) (+.f32 (log.f32 x) (/.f32 -3/32 (pow.f32 x 4))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 5/96 (/.f32 1 (pow.f32 x 6)))))) (/.f32 3/32 (pow.f32 x 4)))
(+.f32 (log.f32 2) (-.f32 (+.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1/4 (pow.f32 x 2))) (/.f32 5/96 (pow.f32 x 6))) (/.f32 3/32 (pow.f32 x 4))))
(+.f32 (+.f32 (+.f32 (log.f32 x) (/.f32 1/4 (pow.f32 x 2))) (/.f32 5/96 (pow.f32 x 6))) (+.f32 (log.f32 2) (/.f32 -3/32 (pow.f32 x 4))))
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(/.f32 (-.f32 0 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -2))) (-.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 1 (-.f32 (+.f32 x (hypot.f32 1 x)) 1)))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(fma.f32 (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) -1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(-.f32 (/.f32 (pow.f32 x 2) (-.f32 x (hypot.f32 1 x))) (/.f32 (pow.f32 (hypot.f32 1 x) 2) (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2)) (-.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (fma.f32 x x (-.f32 -1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (E.f32) (exp.f32 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1)))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)) (exp.f32 -1))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (+.f32 (*.f32 x (-.f32 x (hypot.f32 1 x))) 1)))
(*.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2)) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2)) (-.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (fma.f32 x x (-.f32 -1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (+.f32 (*.f32 x (-.f32 x (hypot.f32 1 x))) 1)))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2))))
(/.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2)) (-.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (fma.f32 x x (-.f32 -1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (E.f32)) (E.f32))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (+.f32 (*.f32 x (-.f32 x (hypot.f32 1 x))) 1)))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (pow.f32 (hypot.f32 1 x) 2) (-.f32 (pow.f32 x 2) (*.f32 x (hypot.f32 1 x)))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (+.f32 (*.f32 x (-.f32 x (hypot.f32 1 x))) 1)))
(/.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2)) (-.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (fma.f32 x x (-.f32 -1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (+.f32 (*.f32 x (-.f32 x (hypot.f32 1 x))) 1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2)) (-.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (fma.f32 x x (-.f32 -1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 2) (pow.f32 x 2)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (-.f32 (pow.f32 x 2) (pow.f32 (hypot.f32 1 x) 2)) (-.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (pow.f32 x 2) (+.f32 1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (fma.f32 x x (-.f32 -1 (pow.f32 x 2))) (-.f32 x (hypot.f32 1 x)))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (hypot.f32 1 x)))))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))

eval129.0ms (2.2%)

Compiler

Compiled 5461 to 4193 computations (23.2% saved)

prune58.0ms (1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New2827289
Fresh2810
Picked415
Done000
Total28816304
Accuracy
100.0%
Counts
304 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.5%
(copysign.f32 (fma.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2)))) (/.f32 1/2 (+.f32 1 x))) (log1p.f32 x)) x)
48.8%
(copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) x)
12.6%
(copysign.f32 (-.f32 (+.f32 1 (+.f32 x (*.f32 (pow.f32 x 3) -1/6))) 1) x)
29.6%
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x)
13.2%
(copysign.f32 (+.f32 (/.f32 1 x) (log.f32 x)) x)
14.7%
(copysign.f32 (+.f32 1 (log.f32 x)) x)
49.2%
(copysign.f32 (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2)))) x)
40.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
56.1%
(copysign.f32 (log1p.f32 x) x)
5.5%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) x) x) x)) x)
36.8%
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
26.8%
(copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)
14.7%
(copysign.f32 (log.f32 (*.f32 x (E.f32))) x)
14.5%
(copysign.f32 (log.f32 (neg.f32 x)) x)
31.6%
(copysign.f32 (exp.f32 (*.f32 (*.f32 3 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1/3)) x)
51.9%
(copysign.f32 x x)
Compiler

Compiled 361 to 259 computations (28.3% saved)

localize560.0ms (9.7%)

Compiler

Compiled 130 to 90 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
Operation ival-mult, time spent: 37.0ms, 21.0% of total-time
Operation composed, time spent: 32.0ms, 18.0% of total-time
Operation ival-log, time spent: 31.0ms, 17.0% of total-time
Operation ival-div, time spent: 22.0ms, 12.0% of total-time
Operation ival-add, time spent: 21.0ms, 12.0% of total-time
Operation ival-copysign, time spent: 14.0ms, 8.0% of total-time
Operation ival-sub, time spent: 9.0ms, 5.0% of total-time
Operation ival-sqrt, time spent: 8.0ms, 4.0% of total-time
Operation const, time spent: 5.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune12.0ms (0.2%)

Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New000
Fresh01010
Picked055
Done011
Total01616
Accuracy
100.0%
Counts
16 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.5%
(copysign.f32 (fma.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2)))) (/.f32 1/2 (+.f32 1 x))) (log1p.f32 x)) x)
48.8%
(copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) x)
12.6%
(copysign.f32 (-.f32 (+.f32 1 (+.f32 x (*.f32 (pow.f32 x 3) -1/6))) 1) x)
29.6%
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x)
13.2%
(copysign.f32 (+.f32 (/.f32 1 x) (log.f32 x)) x)
14.7%
(copysign.f32 (+.f32 1 (log.f32 x)) x)
49.2%
(copysign.f32 (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2)))) x)
40.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
56.1%
(copysign.f32 (log1p.f32 x) x)
5.5%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) x) x) x)) x)
36.8%
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
26.8%
(copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)
14.7%
(copysign.f32 (log.f32 (*.f32 x (E.f32))) x)
14.5%
(copysign.f32 (log.f32 (neg.f32 x)) x)
31.6%
(copysign.f32 (exp.f32 (*.f32 (*.f32 3 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1/3)) x)
51.9%
(copysign.f32 x x)
Compiler

Compiled 316 to 227 computations (28.2% saved)

localize477.0ms (8.3%)

Compiler

Compiled 161 to 105 computations (34.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 266.0ms
Operation composed, time spent: 65.0ms, 24.0% of total-time
Operation ival-pow, time spent: 49.0ms, 18.0% of total-time
Operation ival-add, time spent: 35.0ms, 13.0% of total-time
Operation ival-mult, time spent: 35.0ms, 13.0% of total-time
Operation ival-log, time spent: 28.0ms, 11.0% of total-time
Operation ival-div, time spent: 13.0ms, 5.0% of total-time
Operation ival-copysign, time spent: 12.0ms, 5.0% of total-time
Operation ival-sqrt, time spent: 10.0ms, 4.0% of total-time
Operation ival-sub, time spent: 8.0ms, 3.0% of total-time
Operation const, time spent: 6.0ms, 2.0% of total-time
Operation ival-neg, time spent: 6.0ms, 2.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune15.0ms (0.3%)

Pruning

16 alts after pruning (5 fresh and 11 done)

PrunedKeptTotal
New000
Fresh055
Picked055
Done066
Total01616
Accuracy
100.0%
Counts
16 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.5%
(copysign.f32 (fma.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2)))) (/.f32 1/2 (+.f32 1 x))) (log1p.f32 x)) x)
48.8%
(copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) x)
12.6%
(copysign.f32 (-.f32 (+.f32 1 (+.f32 x (*.f32 (pow.f32 x 3) -1/6))) 1) x)
29.6%
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x)
13.2%
(copysign.f32 (+.f32 (/.f32 1 x) (log.f32 x)) x)
14.7%
(copysign.f32 (+.f32 1 (log.f32 x)) x)
49.2%
(copysign.f32 (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2)))) x)
40.7%
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
56.1%
(copysign.f32 (log1p.f32 x) x)
5.5%
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) x) x) x)) x)
36.8%
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
26.8%
(copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)
14.7%
(copysign.f32 (log.f32 (*.f32 x (E.f32))) x)
14.5%
(copysign.f32 (log.f32 (neg.f32 x)) x)
31.6%
(copysign.f32 (exp.f32 (*.f32 (*.f32 3 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1/3)) x)
51.9%
(copysign.f32 x x)
Compiler

Compiled 421 to 285 computations (32.3% saved)

regimes50.0ms (0.9%)

Counts
24 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2)))) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (E.f32))) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
(copysign.f32 (+.f32 (/.f32 1 x) (log.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x)
(copysign.f32 (-.f32 (+.f32 1 (+.f32 x (*.f32 (pow.f32 x 3) -1/6))) 1) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) x) x) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
(copysign.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (log.f32 (E.f32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) x)
(copysign.f32 (exp.f32 (*.f32 (*.f32 3 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1/3)) x)
(copysign.f32 (fma.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2)))) (/.f32 1/2 (+.f32 1 x))) (log1p.f32 x)) x)
Outputs
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (fma.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2)))) (/.f32 1/2 (+.f32 1 x))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
Calls

2 calls:

35.0ms
x
14.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
Results
AccuracySegmentsBranch
99.9%3x
99.9%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes47.0ms (0.8%)

Counts
23 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2)))) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (E.f32))) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
(copysign.f32 (+.f32 (/.f32 1 x) (log.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x)
(copysign.f32 (-.f32 (+.f32 1 (+.f32 x (*.f32 (pow.f32 x 3) -1/6))) 1) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) x) x) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
(copysign.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (log.f32 (E.f32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) x)
(copysign.f32 (exp.f32 (*.f32 (*.f32 3 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1/3)) x)
Outputs
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
Calls

2 calls:

31.0ms
x
14.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
Results
AccuracySegmentsBranch
99.8%3x
99.8%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes47.0ms (0.8%)

Counts
21 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2)))) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (E.f32))) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
(copysign.f32 (+.f32 (/.f32 1 x) (log.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x)
(copysign.f32 (-.f32 (+.f32 1 (+.f32 x (*.f32 (pow.f32 x 3) -1/6))) 1) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) x) x) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
(copysign.f32 (*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) (log.f32 (E.f32))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
Outputs
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 x x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
Calls

2 calls:

31.0ms
x
15.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
Results
AccuracySegmentsBranch
99.8%3x
99.8%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes24.0ms (0.4%)

Counts
16 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2)))) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (E.f32))) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
(copysign.f32 (+.f32 (/.f32 1 x) (log.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x)
(copysign.f32 (-.f32 (+.f32 1 (+.f32 x (*.f32 (pow.f32 x 3) -1/6))) 1) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) x) x) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
Outputs
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x)
(copysign.f32 x x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
Calls

1 calls:

23.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes27.0ms (0.5%)

Counts
15 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2)))) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (E.f32))) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
(copysign.f32 (+.f32 (/.f32 1 x) (log.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x)
(copysign.f32 (-.f32 (+.f32 1 (+.f32 x (*.f32 (pow.f32 x 3) -1/6))) 1) x)
(copysign.f32 (log.f32 (-.f32 (/.f32 (*.f32 (+.f32 x (/.f32 -1/2 x)) x) x) x)) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
Outputs
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x)
(copysign.f32 x x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)
Calls

1 calls:

26.0ms
x
Results
AccuracySegmentsBranch
97.7%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2)))) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (E.f32))) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
(copysign.f32 (+.f32 (/.f32 1 x) (log.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)
Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 x x)
(copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
82.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.2%)

Counts
9 → 2
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2)))) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 x (E.f32))) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (+.f32 (log.f32 x) (/.f32 x x)) x)
(copysign.f32 (+.f32 (/.f32 1 x) (log.f32 x)) x)
Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log1p.f32 x) x)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
68.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2)))) x)
(copysign.f32 (log1p.f32 x) x)
Outputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
60.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.9b remaining (-5.6%)

Threshold costs -0.9b (-5.6%)

Counts
2 → 1
Calls
Call 1
Inputs
(copysign.f32 x x)
(copysign.f32 (*.f32 x (+.f32 1 (*.f32 x (-.f32 (*.f32 1/3 x) 1/2)))) x)
Outputs
(copysign.f32 x x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
51.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.044230714440345764
0.23651966452598572
0.0ms
-0.22656452655792236
-0.00014697425649501383
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.003047348465770483
0.026348749175667763
0.0ms
-0.22656452655792236
-0.00014697425649501383
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
1.0ms
0.003047348465770483
0.026348749175667763
0.0ms
-0.22656452655792236
-0.00014697425649501383
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0030473340302705765
0.026351826265454292
0.0ms
-3.478693723678589
-0.22850783169269562
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.31729036569595337
1.2864186763763428
0.0ms
-3.478693723678589
-0.22850783169269562
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.31729036569595337
1.2864186763763428
0.0ms
-3.478693723678589
-0.22850783169269562
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
-3.478693723678589
-0.22850783169269562
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.2864186763763428
5.419398784637451
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify25.0ms (0.4%)

Algorithm
egg-herbie
Rules
14×+-commutative
unsub-neg
neg-mul-1
sub-neg
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0841141
11071141
21151141
31221141
41331141
51501141
61531141
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -13421773/67108864) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) 13421773/268435456) (copysign.f32 (fma.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2)))) (/.f32 1/2 (+.f32 1 x))) (log1p.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -13421773/67108864) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) 5368709/1073741824) (copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -13421773/67108864) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) 5368709/1073741824) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -2) (copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x) (if (<=.f32 x 5368709/1073741824) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -2) (copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x) (if (<=.f32 x 1/2) (copysign.f32 x x) (copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x 1/2) (copysign.f32 x x) (copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x 2) (copysign.f32 x x) (copysign.f32 (log1p.f32 x) x))
(copysign.f32 x x)
Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -13421773/67108864) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) 13421773/268435456) (copysign.f32 (fma.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2)))) (/.f32 1/2 (+.f32 1 x))) (log1p.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -13421773/67108864) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) 13421773/268435456) (copysign.f32 (fma.f32 (pow.f32 x 2) (+.f32 (*.f32 (pow.f32 x 2) (+.f32 (/.f32 -1/8 (+.f32 x 1)) (/.f32 -1/8 (pow.f32 (+.f32 x 1) 2)))) (/.f32 1/2 (+.f32 x 1))) (log1p.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -13421773/67108864) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) 5368709/1073741824) (copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 x)) (log1p.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -13421773/67108864) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) 5368709/1073741824) (copysign.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 x 1)) (log1p.f32 x)) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -13421773/67108864) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) 5368709/1073741824) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -2) (copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x) (if (<=.f32 x 5368709/1073741824) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -2) (copysign.f32 (+.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) -1) x) (if (<=.f32 x 5368709/1073741824) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -2) (copysign.f32 (-.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) 1) x) (if (<=.f32 x 1/2) (copysign.f32 x x) (copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)))
(if (<=.f32 x -2) (copysign.f32 (+.f32 (+.f32 1 (log.f32 (/.f32 -1/2 x))) -1) x) (if (<=.f32 x 1/2) (copysign.f32 x x) (copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x 1/2) (copysign.f32 x x) (copysign.f32 (log.f32 (*.f32 x (+.f32 1 (/.f32 x x)))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x 2) (copysign.f32 x x) (copysign.f32 (log1p.f32 x) x))
(copysign.f32 x x)
Compiler

Compiled 310 to 208 computations (32.9% saved)

soundness481.0ms (8.4%)

Rules
655×fma-neg
501×prod-diff
487×distribute-lft-in
480×log1p-expm1-u
480×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881
13272
23772
34172
44972
55672
66872
78172
89472
910672
1014972
1120772
1222672
1324672
1425472
1525872
04087112
19086644
226255772
376445772
01150
112042
2155542
Stop Event
node limit
node limit
saturated
Compiler

Compiled 1479 to 986 computations (33.3% saved)

end0.0ms (0%)

preprocess176.0ms (3.1%)

Compiler

Compiled 672 to 410 computations (39% saved)

Profiling

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