Hyperbolic arcsine

Time bar (total: 6.9s)

analyze84.0ms (1.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
50%50%50%0%0%0%0%4
62.5%62.5%37.5%0%0%0%0%5
68.8%68.7%31.2%0%0%0%0%6
71.9%71.8%28.1%0%0%0%0%7
73.4%73.4%26.5%0%0%0%0%8
74.2%74.2%25.8%0%0%0%0%9
74.6%74.6%25.4%0%0%0%0%10
74.8%74.8%25.2%0%0%0%0%11
74.9%74.9%25.1%0%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-add: 14.0ms (33.7% of total)
ival-log: 9.0ms (21.7% of total)
ival-mult: 9.0ms (21.7% of total)
ival-sqrt: 8.0ms (19.3% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

sample2.2s (31.4%)

Results
784.0ms4211×1valid
184.0ms2382×0valid
837.0ms1663×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-log: 609.0ms (41.6% of total)
ival-sqrt: 250.0ms (17.1% of total)
ival-mult: 244.0ms (16.7% of total)
ival-add: 190.0ms (13% of total)
backward-pass: 156.0ms (10.6% of total)
const: 17.0ms (1.2% of total)
Bogosity

preprocess260.0ms (3.8%)

Algorithm
egg-herbie
Rules
64×fma-neg
54×fma-define
18×associate--r+
18×sub-neg
17×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
14196
26996
311796
419696
528796
635096
739196
839896
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))

explain332.0ms (4.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-0-(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
740-0-(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
600-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-x
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-#s(literal 1 binary64)
Results
63.0ms314×1valid
10.0ms122×0valid
216.0ms76×2valid
Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-log: 34.0ms (44.3% of total)
ival-add: 11.0ms (14.3% of total)
ival-mult: 11.0ms (14.3% of total)
backward-pass: 11.0ms (14.3% of total)
ival-sqrt: 8.0ms (10.4% of total)
const: 1.0ms (1.3% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 9 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
26.9%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize73.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
cost-diff0
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(hypot.f64 #s(literal 1 binary64) x)
accuracy72.9%
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
accuracy54.6%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
Rules
1-exp
+-commutative
hypot-undefine
fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01057
12057
22157
32357
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
x
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
x
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Results
30.0ms157×1valid
4.0ms61×0valid
17.0ms38×2valid
Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-log: 17.0ms (46% of total)
ival-hypot: 11.0ms (29.7% of total)
backward-pass: 5.0ms (13.5% of total)
ival-add: 3.0ms (8.1% of total)
const: 1.0ms (2.7% of total)

series7.0ms (0.1%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 x (hypot.f64 #s(literal 1 binary64) x))>
#<alt (hypot.f64 #s(literal 1 binary64) x)>
Outputs
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))>
Calls

9 calls:

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

rewrite320.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
462×prod-diff
455×log1p-expm1-u
455×expm1-log1p-u
432×add-exp-log
392×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01052
19952
2124552
Stop Event
node limit
Counts
3 → 158
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))

simplify111.0ms (1.6%)

Algorithm
egg-herbie
Rules
681×distribute-lft-in
649×distribute-rgt-in
258×associate-+l+
228×associate-+r+
178×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04727950
19577251
227136780
Stop Event
node limit
Counts
194 → 296
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 x #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x) x)
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
Outputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
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(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
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x
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(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
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(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 x #s(literal 2 binary64)))) x)
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(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (hypot.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
(*.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) x)
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (log.f64 (E.f64)))
(hypot.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(hypot.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(hypot.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) x)
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(hypot.f64 #s(literal 1 binary64) x)
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(hypot.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 #s(literal 1 binary64) x)
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(hypot.f64 #s(literal 1 binary64) x)
(pow.f64 (E.f64) (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(hypot.f64 #s(literal 1 binary64) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))
(hypot.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) x)))
(hypot.f64 #s(literal 1 binary64) x)
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(hypot.f64 #s(literal 1 binary64) x)

eval39.0ms (0.6%)

Compiler

Compiled 4585 to 1018 computations (77.8% saved)

prune46.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2906296
Fresh000
Picked011
Done000
Total2907297
Accuracy
100.0%
Counts
297 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
26.8%
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
34.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
29.5%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
26.9%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
21.8%
(log.f64 (*.f64 x #s(literal 2 binary64)))
51.5%
x
Compiler

Compiled 85 to 65 computations (23.5% saved)

localize149.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 22 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
cost-diff0
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
cost-diff0
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
cost-diff-6272
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
cost-diff0
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(log.f64 (*.f64 x #s(literal 2 binary64)))
accuracy100.0%
(hypot.f64 #s(literal 1 binary64) x)
accuracy100.0%
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
accuracy100.0%
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
accuracy100.0%
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
accuracy100.0%
(pow.f64 x #s(literal 3 binary64))
accuracy100.0%
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy100.0%
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
accuracy100.0%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
accuracy100.0%
(log.f64 (*.f64 x #s(literal 2 binary64)))
Rules
379×fma-define
195×fma-neg
51×distribute-lft-neg-in
41×distribute-lft-in
37×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022203
141199
258199
385199
4104199
5130199
6183199
7285199
8477199
9613199
10976199
111145199
121277199
131308199
141322199
151326199
Stop Event
saturated
Calls
Call 1
Inputs
x
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
x
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
x
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
x
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Results
50.0ms256×0invalid
Compiler

Compiled 62 to 18 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-log: 9.0ms (28.3% of total)
ival-pow: 7.0ms (22% of total)
ival-mult: 4.0ms (12.6% of total)
ival-hypot: 4.0ms (12.6% of total)
ival-div: 3.0ms (9.4% of total)
ival-add: 1.0ms (3.1% of total)
ival-sub: 1.0ms (3.1% of total)
const: 1.0ms (3.1% of total)
ival-neg: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series122.0ms (1.8%)

Counts
10 → 84
Calls
Call 1
Inputs
#<alt (log.f64 (*.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (log.f64 (/.f64 #s(literal -1/2 binary64) x))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))>
#<alt (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))>
#<alt (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)>
Outputs
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/40 binary64))))) #s(literal 1 binary64)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))>
Calls

30 calls:

TimeVariablePointExpression
36.0ms
x
@-inf
(log (/ -1/2 x))
27.0ms
x
@0
(log (* x 2))
20.0ms
x
@-inf
(log (* x 2))
15.0ms
x
@0
(log (/ -1/2 x))
6.0ms
x
@inf
(log (/ -1/2 x))

rewrite170.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
818×log1p-expm1-u
818×expm1-log1p-u
526×fma-define
234×fma-neg
216×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022164
1283160
23690160
Stop Event
node limit
Counts
10 → 358
Calls
Call 1
Inputs
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
Outputs
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 #s(literal 2 binary64))) (cbrt.f64 (log.f64 #s(literal 2 binary64)))) (cbrt.f64 (log.f64 #s(literal 2 binary64))) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 #s(literal 2 binary64))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (neg.f64 x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 x) x))

simplify188.0ms (2.7%)

Algorithm
egg-herbie
Rules
517×fma-neg
415×distribute-lft-neg-out
350×cancel-sign-sub-inv
320×sub-neg
261×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075212435
1159711654
2478211548
Stop Event
node limit
Counts
442 → 496
Calls
Call 1
Inputs
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/40 binary64))))) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
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(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x))) (exp.f64 (neg.f64 x))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (neg.f64 x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 x) x))
Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (hypot.f64 #s(literal 1 binary64) x))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (hypot.f64 #s(literal 1 binary64) x))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x (neg.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x (neg.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (neg.f64 x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x (neg.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 x (neg.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 x (neg.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 x (neg.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))))

eval90.0ms (1.3%)

Compiler

Compiled 7906 to 1897 computations (76% saved)

prune166.0ms (2.4%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New5752577
Fresh011
Picked055
Done011
Total5759584
Accuracy
100.0%
Counts
584 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
26.8%
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
32.5%
(neg.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
34.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
2.3%
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
29.5%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
26.9%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
21.8%
(log.f64 (*.f64 x #s(literal 2 binary64)))
51.5%
x
Compiler

Compiled 65 to 51 computations (21.5% saved)

localize433.0ms (6.3%)

Algorithm
egg-herbie
Localize:

Found 22 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
cost-diff256
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
cost-diff0
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
cost-diff0
(pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))
cost-diff12928
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
cost-diff12928
(neg.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
cost-diff128
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
accuracy99.8%
(*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
accuracy99.6%
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
accuracy73.1%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
accuracy72.9%
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
accuracy100.0%
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
accuracy99.7%
(pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))
accuracy82.1%
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
accuracy73.1%
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
accuracy100.0%
(-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
accuracy72.6%
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
Rules
1210×fma-neg
823×div-sub
654×distribute-neg-in
616×sub-neg
385×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023343
150301
270301
3127295
4213295
5449295
6614295
7919295
81354295
91551295
101701295
112283295
123600295
135706295
147037295
157323295
167502295
177539295
187579295
Stop Event
node limit
Calls
Call 1
Inputs
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
(neg.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
#s(literal 1/3 binary64)
(*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 3 binary64)
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
x
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
(neg.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(neg.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
#s(literal 1/3 binary64)
(*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 3 binary64)
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
x
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Results
38.0ms105×0invalid
59.0ms70×1valid
83.0ms58×2valid
28.0ms13×3valid
3.0ms10×0valid
Compiler

Compiled 102 to 19 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-pow: 42.0ms (25.8% of total)
ival-log: 39.0ms (23.9% of total)
ival-div: 25.0ms (15.3% of total)
ival-hypot: 14.0ms (8.6% of total)
backward-pass: 14.0ms (8.6% of total)
ival-mult: 9.0ms (5.5% of total)
ival-log1p: 7.0ms (4.3% of total)
ival-sub: 6.0ms (3.7% of total)
ival-add: 3.0ms (1.8% of total)
ival-neg: 3.0ms (1.8% of total)
const: 1.0ms (0.6% of total)

series30.0ms (0.4%)

Counts
7 → 84
Calls
Call 1
Inputs
#<alt (log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))>
#<alt (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))>
#<alt (neg.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))>
Outputs
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
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#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))>
Calls

21 calls:

TimeVariablePointExpression
12.0ms
x
@0
(log (+ 1 (- (/ -1/2 x) 1)))
3.0ms
x
@-inf
(pow (log (- (sqrt (+ (* 1 1) (* x x))) x)) 3)
2.0ms
x
@0
(* 3 (log (+ x (sqrt (+ (* 1 1) (* x x))))))
2.0ms
x
@inf
(pow (log (- (sqrt (+ (* 1 1) (* x x))) x)) 3)
1.0ms
x
@inf
(* 3 (log (+ x (sqrt (+ (* 1 1) (* x x))))))

rewrite146.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
955×prod-diff
844×log1p-expm1-u
598×expm1-log1p-u
126×add-exp-log
126×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023163
1328157
23960157
Stop Event
node limit
Counts
7 → 186
Calls
Call 1
Inputs
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(neg.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))))
(pow.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))
(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (log.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))
(*.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(*.f64 #s(literal -1 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)))
(*.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(neg.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))
(*.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(*.f64 #s(literal -1 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 1 binary64)))

simplify168.0ms (2.4%)

Algorithm
egg-herbie
Rules
740×distribute-lft-in
724×distribute-rgt-in
290×fma-define
254×fma-neg
246×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056610750
113909796
243519625
Stop Event
node limit
Counts
270 → 356
Calls
Call 1
Inputs
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/40 binary64))))) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
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(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))
(*.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(*.f64 #s(literal -1 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 1 binary64)))
Outputs
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3/40 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -3/40 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/40 binary64))))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -3/40 binary64)))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/112 binary64) #s(literal -3/40 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (+.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
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(log.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(neg.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(*.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(*.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(*.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 3 binary64))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 1 binary64)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))

eval142.0ms (2.1%)

Compiler

Compiled 18793 to 4206 computations (77.6% saved)

prune196.0ms (2.8%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New9821983
Fresh000
Picked033
Done066
Total98210992
Accuracy
100.0%
Counts
992 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
51.3%
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
26.8%
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
32.5%
(neg.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
34.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
2.3%
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
29.5%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
26.9%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
21.8%
(log.f64 (*.f64 x #s(literal 2 binary64)))
51.5%
x
Compiler

Compiled 71 to 56 computations (21.1% saved)

localize397.0ms (5.8%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff256
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
Rules
9404×associate-*r*
1268×*-commutative
1102×associate-*l*
1-exp
*-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0944
11332
22120
32720
45420
512520
629520
732320
832320
972520
1080220
1180220
1280220
13198120
14220220
15220220
16220220
17575820
18575820
19575820
20647820
21647820
22647820
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
#s(literal 1/3 binary64)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1/3 binary64)
(*.f64 x #s(literal 3 binary64))
x
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 1 binary64))
#s(literal 3 binary64)
Results
13.0ms256×0valid
Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 4.0ms (92.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal 3 binary64))>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 #s(literal 3 binary64) x)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* x 3)
0.0ms
x
@-inf
(* x 3)
0.0ms
x
@0
(* x 3)
0.0ms
x
@-inf
(* 1/3 (* x 3))
0.0ms
x
@0
(* 1/3 (* x 3))

rewrite170.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
592×associate-*r*
516×associate-*l*
347×log1p-expm1-u
245×unpow-prod-down
203×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0926
16914
280814
3780014
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
Outputs
(+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(+.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) x)
(-.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal 3 binary64))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x #s(literal 3 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)))

simplify136.0ms (2%)

Algorithm
egg-herbie
Rules
540×distribute-lft-in
484×distribute-rgt-in
472×fma-neg
453×fma-define
400×prod-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0133876
1269868
2894848
35736840
Stop Event
node limit
Counts
74 → 67
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(+.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) x)
(-.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal 3 binary64))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x #s(literal 3 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
x
(+.f64 #s(literal 0 binary64) x)
x
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
x
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
x
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (E.f64) (log.f64 x))
x
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
x
(+.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal 3 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) x)
(+.f64 x (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 x (*.f64 #s(literal 2 binary64) x))
(-.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 x #s(literal 3 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal 3 binary64))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 3 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 x #s(literal 3 binary64))
(fabs.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x))
(*.f64 x #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 3 binary64))))
(*.f64 x #s(literal 3 binary64))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))
(*.f64 x #s(literal 3 binary64))
(exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64))))
(*.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 x #s(literal 3 binary64))

eval9.0ms (0.1%)

Compiler

Compiled 636 to 196 computations (69.2% saved)

prune22.0ms (0.3%)

Pruning

14 alts after pruning (4 fresh and 10 done)

PrunedKeptTotal
New63467
Fresh000
Picked011
Done099
Total631477
Accuracy
100.0%
Counts
77 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
6.3%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
49.6%
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
6.2%
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
6.4%
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
51.3%
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
26.8%
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
32.5%
(neg.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
34.1%
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
2.3%
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
29.5%
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
26.9%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
21.8%
(log.f64 (*.f64 x #s(literal 2 binary64)))
51.5%
x
Compiler

Compiled 250 to 134 computations (46.4% saved)

regimes15.0ms (0.2%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(neg.f64 (pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
Calls

3 calls:

6.0ms
x
4.0ms
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
4.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
100.0%3x
90.5%4(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
90.5%4(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
Outputs
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
Outputs
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (*.f64 x #s(literal 2 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
Outputs
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
x
(log.f64 (*.f64 x #s(literal 2 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes66.0ms (1%)

Counts
7 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (*.f64 x #s(literal 2 binary64)))
Outputs
x
(log.f64 (*.f64 x #s(literal 2 binary64)))
Calls

1 calls:

66.0ms
x
Results
AccuracySegmentsBranch
71.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -29.0b remaining (-93.6%)

Threshold costs -29b (-93.6%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
x
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
51.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch36.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
5.73628963529687e-16
5164.281667849316
14.0ms
-0.09910233040474657
-2.9253601159116345e-5
Results
24.0ms288×0valid
Compiler

Compiled 328 to 252 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 3.0ms (24.3% of total)
ival-log: 3.0ms (24.3% of total)
ival-mult: 3.0ms (24.3% of total)
ival-sqrt: 2.0ms (16.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
5.73628963529687e-16
5164.281667849316
15.0ms
-88779.5738651604
-0.12725442257916567
Results
20.0ms304×0valid
Compiler

Compiled 319 to 248 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 4.0ms (31.1% of total)
ival-log: 3.0ms (23.4% of total)
ival-mult: 2.0ms (15.6% of total)
ival-sqrt: 2.0ms (15.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
5.73628963529687e-16
5164.281667849316
14.0ms
-88779.5738651604
-0.12725442257916567
Results
20.0ms304×0valid
Compiler

Compiled 299 to 238 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 3.0ms (25.9% of total)
ival-log: 3.0ms (25.9% of total)
ival-mult: 2.0ms (17.3% of total)
ival-sqrt: 2.0ms (17.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
5.73628963529687e-16
5164.281667849316
16.0ms
-88779.5738651604
-0.12725442257916567
Results
23.0ms304×0valid
Compiler

Compiled 185 to 143 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-log: 6.0ms (37.2% of total)
ival-mult: 5.0ms (31% of total)
ival-add: 3.0ms (18.6% of total)
ival-sqrt: 2.0ms (12.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
5.73628963529687e-16
5164.281667849316
Results
12.0ms160×0valid
Compiler

Compiled 104 to 80 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sqrt: 3.0ms (36.8% of total)
ival-add: 2.0ms (24.5% of total)
ival-log: 2.0ms (24.5% of total)
ival-mult: 1.0ms (12.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
*-commutative
sub-neg
1-exp
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042352
156352
261352
364352
465352
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -8762203435012037/9223372036854775808 binary64)) (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (if (<=.f64 x #s(literal 4150517416584649/4611686018427387904 binary64)) (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 4150517416584649/4611686018427387904 binary64)) (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (*.f64 x #s(literal 2 binary64))))
x
Outputs
(if (<=.f64 x #s(literal -8762203435012037/9223372036854775808 binary64)) (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (if (<=.f64 x #s(literal 4150517416584649/4611686018427387904 binary64)) (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 4150517416584649/4611686018427387904 binary64)) (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (*.f64 x #s(literal 2 binary64))))
x

soundness386.0ms (5.6%)

Rules
681×distribute-lft-in
649×distribute-rgt-in
462×prod-diff
455×log1p-expm1-u
455×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04727950
19577251
227136780
01052
19952
2124552
019140
14196
26996
311796
419696
528796
635096
739196
839896
Stop Event
fuel
saturated
node limit
node limit
Compiler

Compiled 577 to 196 computations (66% saved)

preprocess76.0ms (1.1%)

Compiler

Compiled 278 to 110 computations (60.4% saved)

end0.0ms (0%)

Profiling

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