Rust f64::asinh

Time bar (total: 8.3s)

analyze0.0ms (0%)

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

Compiled 4 to 3 computations (25% saved)

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

sample404.0ms (4.9%)

Results
261.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-asinh: 90.0ms (90.3% of total)
const: 7.0ms (7% of total)
backward-pass: 3.0ms (3% of total)
Bogosity

preprocess52.0ms (0.6%)

Algorithm
egg-herbie
Rules
53×fma-define
21×fma-neg
12×unsub-neg
12×sub-neg
10×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881
13272
23772
34172
44972
55672
66872
78172
89472
910672
1014972
1120772
1222672
1324672
1425472
1525872
Stop Event
saturated
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(asinh.f64 x)
(asinh.f64 (neg.f64 x))
(neg.f64 (asinh.f64 (neg.f64 x)))
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(asinh.f64 x)
(asinh.f64 (neg.f64 x))
(neg.f64 (asinh.f64 (neg.f64 x)))

explain578.0ms (7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1400-0-(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
590-0-(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-x
00-0-(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
00-0-(*.f64 x x)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(fabs.f64 x)
00-0-(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
00-0-#s(literal 1 binary64)
Results
40.0ms238×0valid
82.0ms142×1valid
395.0ms132×2valid
Compiler

Compiled 115 to 59 computations (48.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 471.0ms
ival-log: 171.0ms (36.3% of total)
backward-pass: 148.0ms (31.4% of total)
ival-add: 89.0ms (18.9% of total)
ival-sqrt: 37.0ms (7.8% of total)
ival-copysign: 10.0ms (2.1% of total)
ival-mult: 7.0ms (1.5% of total)
ival-fabs: 7.0ms (1.5% of total)
const: 3.0ms (0.6% of total)

eval1.0ms (0%)

Compiler

Compiled 21 to 13 computations (38.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
Compiler

Compiled 10 to 7 computations (30% saved)

localize236.0ms (2.8%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f64 x)
cost-diff0
(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
cost-diff0
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
cost-diff0
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
accuracy100.0%
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
accuracy100.0%
(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
accuracy100.0%
(fabs.f64 x)
accuracy49.3%
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
Rules
1-exp
+-commutative
hypot-undefine
fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012109
122109
223109
325109
Stop Event
saturated
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fabs.f64 x)
x
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fabs.f64 x)
x
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Results
115.0ms119×0valid
35.0ms71×1valid
63.0ms66×2valid
Compiler

Compiled 31 to 18 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-hypot: 129.0ms (67.3% of total)
ival-log: 37.0ms (19.3% of total)
backward-pass: 10.0ms (5.2% of total)
ival-add: 7.0ms (3.6% of total)
ival-copysign: 4.0ms (2.1% of total)
ival-fabs: 3.0ms (1.6% of total)
const: 1.0ms (0.5% of total)

series13.0ms (0.2%)

Counts
4 → 36
Calls
Call 1
Inputs
#<alt (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))>
#<alt (fabs.f64 x)>
#<alt (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)>
Outputs
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 (*.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 30 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fabs.f64 x) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) x))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) x))) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))))) x))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (fabs.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (*.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 (fabs.f64 x) (*.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 (fabs.f64 x) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (fabs.f64 x) x))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (fabs.f64 x) x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 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 binary64) (/.f64 (fabs.f64 x) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 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))) x)))))>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
Calls

12 calls:

TimeVariablePointExpression
7.0ms
x
@0
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
1.0ms
x
@inf
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
1.0ms
x
@-inf
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
0.0ms
x
@inf
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
0.0ms
x
@-inf
(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))

rewrite387.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
558×log1p-expm1-u
558×expm1-log1p-u
501×prod-diff
444×unpow-prod-down
263×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01294
113978
2176978
Stop Event
node limit
Counts
4 → 202
Calls
Call 1
Inputs
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(fabs.f64 x)
(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) 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 (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 (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 (exp.f64 #s(literal 1 binary64))))
(*.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)))))
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(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))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x))) (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) (expm1.f64 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 (exp.f64 #s(literal 1 binary64))) (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))
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 x)) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))) (log.f64 (sqrt.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))
(*.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(*.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(*.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(*.f64 (pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(exp.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify136.0ms (1.6%)

Algorithm
egg-herbie
Rules
327×associate-+r+
320×associate-+l+
283×fma-neg
247×associate-*r*
246×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05849508
111878504
241917814
Stop Event
node limit
Counts
238 → 329
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 (*.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 30 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fabs.f64 x) x))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) x))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) x))) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))))) x))) x)))
(+.f64 #s(literal 1 binary64) (fabs.f64 x))
(+.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (*.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 (fabs.f64 x) (*.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 (fabs.f64 x) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (fabs.f64 x) x))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (fabs.f64 x) x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 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 binary64) (/.f64 (fabs.f64 x) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 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))) x)))))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(+.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))))))
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(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (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 (pow.f64 (exp.f64 #s(literal 1 binary64)) (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 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (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 (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))))) #s(literal 1 binary64)) (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))))) (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))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x))) (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) (expm1.f64 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 (exp.f64 #s(literal 1 binary64))) (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))
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 x)) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))) (log.f64 (sqrt.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))
(*.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(*.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(*.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(*.f64 (pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(exp.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 (*.f64 #s(literal 45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal 30 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fabs.f64 x) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))
(+.f64 (/.f64 x x) (log.f64 x))
(+.f64 #s(literal 1 binary64) (log.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fabs.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (fabs.f64 x) x)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 x x)) (log.f64 x))
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(*.f64 (cbrt.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) (cbrt.f64 (pow.f64 (*.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(*.f64 (cbrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 3 binary64))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(pow.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 2 binary64)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(log.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(cbrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(expm1.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(log1p.f64 (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(exp.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 3 binary64)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 1/3 binary64)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 2 binary64)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)

eval251.0ms (3%)

Compiler

Compiled 5856 to 4162 computations (28.9% saved)

prune59.0ms (0.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New31217329
Fresh000
Picked101
Done000
Total31317330
Accuracy
100.0%
Counts
330 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.3%
(pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 3 binary64))
55.8%
(copysign.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) x)
55.9%
(copysign.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) x)
29.1%
(copysign.f64 (*.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))))) x)
29.7%
(copysign.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)
26.4%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
68.3%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
61.7%
(copysign.f64 (log1p.f64 x) x)
26.4%
(copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
29.8%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
18.0%
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
11.4%
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
3.3%
(copysign.f64 (log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
25.3%
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
7.9%
(copysign.f64 (log.f64 (neg.f64 x)) x)
2.6%
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
26.9%
(copysign.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)
Compiler

Compiled 390 to 286 computations (26.7% saved)

localize1.1s (13.4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff128
(log.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff128
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
cost-diff12800
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
cost-diff12800
(copysign.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)
accuracy100.0%
(log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(log.f64 #s(literal 0 binary64))
accuracy100.0%
(fabs.f64 x)
accuracy100.0%
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
Rules
96×fma-define
83×fma-neg
29×unsub-neg
27×sub-neg
22×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026368
145368
252368
363368
476368
5102368
6138368
7191368
8273368
9331368
10431368
11513368
12541368
13561368
14569368
15573368
Stop Event
saturated
Calls
Call 1
Inputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(log.f64 #s(literal 0 binary64))
#s(literal 0 binary64)
x
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(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
(copysign.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(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
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(log1p.f64 (fabs.f64 x))
(fabs.f64 x)
x
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(log.f64 #s(literal 0 binary64))
#s(literal 0 binary64)
x
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log1p.f64 x) x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(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
(copysign.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(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
783.0ms256×0invalid
Compiler

Compiled 109 to 70 computations (35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 754.0ms
ival-hypot: 309.0ms (41% of total)
ival-log: 189.0ms (25.1% of total)
ival-exp: 98.0ms (13% of total)
ival-add: 94.0ms (12.5% of total)
ival-log1p: 40.0ms (5.3% of total)
ival-copysign: 12.0ms (1.6% of total)
ival-sub: 5.0ms (0.7% of total)
const: 3.0ms (0.4% of total)
ival-neg: 3.0ms (0.4% of total)
ival-fabs: 2.0ms (0.3% of total)
backward-pass: 0.0ms (0% of total)

series16.0ms (0.2%)

Counts
6 → 52
Calls
Call 1
Inputs
#<alt (exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))>
#<alt (log.f64 #s(literal 0 binary64))>
#<alt (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))>
#<alt (copysign.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (log.f64 (+.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 (log.f64 x)>
#<alt (+.f64 (log.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 11/180 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))>
#<alt (+.f64 (log.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/180 binary64) (*.f64 #s(literal -191/5670 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 (log.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))))>
#<alt (+.f64 (log.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (+.f64 (*.f64 #s(literal 9/4 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 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))))>
#<alt (+.f64 (log.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (+.f64 (*.f64 #s(literal 9/4 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 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 135/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 75/2 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 15/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (log.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) (*.f64 (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 (log.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (*.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (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 (log.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (-.f64 (*.f64 #s(literal 135/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 15/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (*.f64 #s(literal 75/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (*.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))>
Calls

15 calls:

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

rewrite121.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
964×log1p-expm1-u
964×expm1-log1p-u
568×prod-diff
295×fma-define
185×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018112
1227112
22680112
Stop Event
node limit
Counts
6 → 116
Calls
Call 1
Inputs
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 #s(literal 0 binary64))
(log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(copysign.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
Outputs
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.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 (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 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 #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 (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)))))
(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))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (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))))))
(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)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 #s(literal 0 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))
(*.f64 (log.f64 #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 #s(literal 0 binary64))) (pow.f64 (cbrt.f64 (log.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 0 binary64))))
(*.f64 (sqrt.f64 (log.f64 #s(literal 0 binary64))) (sqrt.f64 (log.f64 #s(literal 0 binary64))))
(pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 #s(literal 0 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 #s(literal 0 binary64))))
(log1p.f64 #s(literal -1 binary64))
(exp.f64 (log.f64 (log.f64 #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.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))))))
(*.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))))))
(pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.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 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(log1p.f64 (-.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))
(*.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(*.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(exp.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log1p.f64 x) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 (log1p.f64 x) x))
(*.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log1p.f64 x) x)))
(*.f64 (sqrt.f64 (copysign.f64 (log1p.f64 x) x)) (sqrt.f64 (copysign.f64 (log1p.f64 x) x)))
(pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (log1p.f64 x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log1p.f64 x) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (log1p.f64 x) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log1p.f64 x) x)))
(exp.f64 (log.f64 (copysign.f64 (log1p.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) #s(literal 1 binary64))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(*.f64 (log1p.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) #s(literal 1 binary64)))

simplify139.0ms (1.7%)

Algorithm
egg-herbie
Rules
766×fma-define
577×fma-neg
447×sub-neg
358×unsub-neg
270×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04235766
18945334
223365249
363195249
Stop Event
node limit
Counts
168 → 253
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))))))
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 11/180 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(+.f64 (log.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/180 binary64) (*.f64 #s(literal -191/5670 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))
(log.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))))
(+.f64 (log.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (+.f64 (*.f64 #s(literal 9/4 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 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))))
(+.f64 (log.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (+.f64 (*.f64 #s(literal 9/4 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 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 135/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 75/2 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 15/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))))
(log.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.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) (*.f64 (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 (log.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (*.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (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 (log.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (-.f64 (*.f64 #s(literal 135/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 15/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (*.f64 #s(literal 75/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (*.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)
(copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.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 (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 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 #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 (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)))))
(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))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (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))))))
(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)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 #s(literal 0 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))
(*.f64 (log.f64 #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 #s(literal 0 binary64))) (pow.f64 (cbrt.f64 (log.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 #s(literal 0 binary64))))
(*.f64 (sqrt.f64 (log.f64 #s(literal 0 binary64))) (sqrt.f64 (log.f64 #s(literal 0 binary64))))
(pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 #s(literal 0 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 #s(literal 0 binary64))))
(log1p.f64 #s(literal -1 binary64))
(exp.f64 (log.f64 (log.f64 #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 0 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.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))))))
(*.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))))))
(pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.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 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(log1p.f64 (-.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))
(*.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(*.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(exp.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log1p.f64 x) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 (log1p.f64 x) x))
(*.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log1p.f64 x) x)))
(*.f64 (sqrt.f64 (copysign.f64 (log1p.f64 x) x)) (sqrt.f64 (copysign.f64 (log1p.f64 x) x)))
(pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (log1p.f64 x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log1p.f64 x) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (log1p.f64 x) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log1p.f64 x) x)))
(exp.f64 (log.f64 (copysign.f64 (log1p.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) #s(literal 1 binary64))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(*.f64 (log1p.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) #s(literal 1 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))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.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))))
(fma.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)) x)
(*.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))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 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 (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 (+.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) (neg.f64 (log.f64 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 (log.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (log.f64 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 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (+.f64 (log.f64 #s(literal 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 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.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 2 binary64)) (-.f64 (+.f64 (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 #s(literal 5/96 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 2 binary64)) (+.f64 (+.f64 (+.f64 (log.f64 x) (/.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 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 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)))))
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(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 3 binary64))
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 2 binary64))
(log1p.f64 x)
(sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) #s(literal 1 binary64)))
(log1p.f64 x)

eval72.0ms (0.9%)

Compiler

Compiled 4832 to 3568 computations (26.2% saved)

prune45.0ms (0.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2903293
Fresh6612
Picked325
Done000
Total29911310
Accuracy
100.0%
Counts
310 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.6%
(copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
29.1%
(copysign.f64 (*.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))))) x)
56.6%
(copysign.f64 (*.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))))) x)
26.4%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
68.3%
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
61.7%
(copysign.f64 (log1p.f64 x) x)
29.8%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
3.3%
(copysign.f64 (log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
25.3%
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
7.9%
(copysign.f64 (log.f64 (neg.f64 x)) x)
57.1%
(copysign.f64 x x)
Compiler

Compiled 212 to 151 computations (28.8% saved)

localize466.0ms (5.6%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(copysign.f64 (log1p.f64 x) x)
cost-diff576
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
cost-diff576
(log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
cost-diff576
(copysign.f64 (log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
accuracy100.0%
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))
accuracy100.0%
(log1p.f64 x)
accuracy100.0%
(log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
accuracy100.0%
(log.f64 (*.f64 x #s(literal 2 binary64)))
Rules
902×unsub-neg
658×div-sub
510×fma-define
449×fma-neg
307×distribute-lft-in
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
032657
165625
2130613
3380613
4936547
52206499
64516439
76970439
Stop Event
node limit
Calls
Call 1
Inputs
(copysign.f64 (log1p.f64 x) x)
(log1p.f64 x)
x
(copysign.f64 x x)
x
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(copysign.f64 (log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
(log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
x
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))
#s(literal 1 binary64)
(/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(copysign.f64 (*.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))))) x)
(*.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)))))
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))))
#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)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
Outputs
(copysign.f64 (log1p.f64 x) x)
(log1p.f64 x)
x
(copysign.f64 x x)
x
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(copysign.f64 (log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1 binary64)))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(copysign.f64 (log.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
(log.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1 binary64))))
(log.f64 (-.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))
(log.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))
(*.f64 x (+.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1 binary64)))
(-.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 x (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -1/2 binary64) x)
x
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))
(+.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))
(*.f64 x (+.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1 binary64)))
(-.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 x (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal -1/2 binary64)
(copysign.f64 (*.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))))) x)
(copysign.f64 (*.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))))) x)
(copysign.f64 (*.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))) x)
(copysign.f64 (fma.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)) x) x)
(copysign.f64 (fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) x)
(*.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 (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)))
(fma.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)) x)
(fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
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 #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))))
(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))
#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 (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 (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)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))
(fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
Results
300.0ms256×0invalid
Compiler

Compiled 181 to 127 computations (29.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-sub: 68.0ms (32% of total)
ival-mult: 35.0ms (16.5% of total)
ival-pow: 28.0ms (13.2% of total)
ival-div: 27.0ms (12.7% of total)
ival-copysign: 19.0ms (9% of total)
ival-add: 12.0ms (5.7% of total)
ival-log: 9.0ms (4.2% of total)
const: 6.0ms (2.8% of total)
ival-neg: 5.0ms (2.4% of total)
ival-log1p: 3.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series233.0ms (2.8%)

Counts
7 → 84
Calls
Call 1
Inputs
#<alt (log.f64 (*.f64 x #s(literal 2 binary64)))>
#<alt (log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))>
#<alt (log1p.f64 x)>
#<alt (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))>
#<alt (copysign.f64 (log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) x)>
#<alt (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))>
#<alt (copysign.f64 (log1p.f64 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 (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 -1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))) x)>
#<alt (copysign.f64 (log.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))) x)>
#<alt (copysign.f64 (log.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))) x)>
#<alt (copysign.f64 (log.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)>
#<alt (copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)>
Calls

21 calls:

TimeVariablePointExpression
64.0ms
x
@0
(log (* x 2))
58.0ms
x
@inf
(log (* x (neg (- 1 (/ (+ x (/ -1/2 x)) x)))))
32.0ms
x
@-inf
(log (* x (neg (- 1 (/ (+ x (/ -1/2 x)) x)))))
27.0ms
x
@0
(log (* x (neg (- 1 (/ (+ x (/ -1/2 x)) x)))))
25.0ms
x
@inf
(log (* x 2))

rewrite173.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
914×log1p-expm1-u
914×expm1-log1p-u
367×fma-define
240×log1p-undefine
188×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021235
1302219
24110219
Stop Event
node limit
Counts
7 → 213
Calls
Call 1
Inputs
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(log1p.f64 x)
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))
(copysign.f64 (log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
(copysign.f64 (log1p.f64 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 (log.f64 x) (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(+.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))) (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) (log.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))))
(+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(*.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (*.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))) (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))) (*.f64 (log.f64 x) (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))) (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))) (-.f64 (log.f64 x) (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))))
(pow.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))))
(log1p.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))) (log.f64 x))
(fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(fma.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(*.f64 (log1p.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))
(+.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))
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(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))))
(neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) x))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log1p.f64 x) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 (log1p.f64 x) x))
(*.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log1p.f64 x) x)))
(*.f64 (sqrt.f64 (copysign.f64 (log1p.f64 x) x)) (sqrt.f64 (copysign.f64 (log1p.f64 x) x)))
(pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (log1p.f64 x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log1p.f64 x) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (log1p.f64 x) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log1p.f64 x) x)))
(exp.f64 (log.f64 (copysign.f64 (log1p.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 1 binary64)))

simplify163.0ms (2%)

Algorithm
egg-herbie
Rules
426×distribute-lft-in
396×distribute-rgt-in
384×associate-/l*
354×associate-/r*
183×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049610863
1100610581
227068642
Stop Event
node limit
Counts
297 → 322
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 (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 -1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (log.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))) x)
(copysign.f64 (log.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))) x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)
(copysign.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) x)
(+.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 (log.f64 x) (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(+.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))) (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
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(sqrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
(exp.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))) (cbrt.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)))) (cbrt.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))) (sqrt.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))) (sqrt.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x))
(*.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)))
(*.f64 (sqrt.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)) (sqrt.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)))
(pow.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)))
(exp.f64 (log.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) x)) #s(literal 1 binary64)))
(+.f64 x (*.f64 x (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(+.f64 x (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) x))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))
(pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))))
(neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) x))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log1p.f64 x) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (copysign.f64 (log1p.f64 x) x))
(*.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log1p.f64 x) x)))
(*.f64 (sqrt.f64 (copysign.f64 (log1p.f64 x) x)) (sqrt.f64 (copysign.f64 (log1p.f64 x) x)))
(pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (log1p.f64 x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log1p.f64 x) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (log1p.f64 x) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log1p.f64 x) x)))
(exp.f64 (log.f64 (copysign.f64 (log1p.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 1 binary64)))
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)) (log.f64 (neg.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)) (log.f64 (neg.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)) (log.f64 (neg.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)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 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 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 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 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 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 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 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 (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 (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 (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 (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 (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)))
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(+.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) x)
(+.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) x)
(+.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) x)
(+.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x)) x)
(fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) x)
(+.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log1p.f64 x) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (copysign.f64 (log1p.f64 x) x)))
(+.f64 #s(literal 0 binary64) (copysign.f64 (log1p.f64 x) x))
(*.f64 #s(literal 1 binary64) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 (log1p.f64 x) x)
(*.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 1 binary64))
(copysign.f64 (log1p.f64 x) x)
(*.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64)))
(copysign.f64 (log1p.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (copysign.f64 (log1p.f64 x) x)))
(copysign.f64 (log1p.f64 x) x)
(*.f64 (sqrt.f64 (copysign.f64 (log1p.f64 x) x)) (sqrt.f64 (copysign.f64 (log1p.f64 x) x)))
(copysign.f64 (log1p.f64 x) x)
(pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 1 binary64))
(copysign.f64 (log1p.f64 x) x)
(pow.f64 (cbrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 3 binary64))
(copysign.f64 (log1p.f64 x) x)
(pow.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(copysign.f64 (log1p.f64 x) x)
(pow.f64 (sqrt.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 2 binary64))
(copysign.f64 (log1p.f64 x) x)
(sqrt.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 2 binary64)))
(copysign.f64 (log1p.f64 x) x)
(log.f64 (exp.f64 (copysign.f64 (log1p.f64 x) x)))
(copysign.f64 (log1p.f64 x) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log1p.f64 x) x))))
(copysign.f64 (log1p.f64 x) x)
(cbrt.f64 (pow.f64 (copysign.f64 (log1p.f64 x) x) #s(literal 3 binary64)))
(copysign.f64 (log1p.f64 x) x)
(expm1.f64 (log1p.f64 (copysign.f64 (log1p.f64 x) x)))
(+.f64 #s(literal 0 binary64) (copysign.f64 (log1p.f64 x) x))
(log1p.f64 (expm1.f64 (copysign.f64 (log1p.f64 x) x)))
(copysign.f64 (log1p.f64 x) x)
(exp.f64 (log.f64 (copysign.f64 (log1p.f64 x) x)))
(copysign.f64 (log1p.f64 x) x)
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log1p.f64 x) x)) #s(literal 1 binary64)))
(copysign.f64 (log1p.f64 x) x)

eval70.0ms (0.8%)

Compiler

Compiled 5602 to 3744 computations (33.2% saved)

prune49.0ms (0.6%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New3211322
Fresh044
Picked145
Done112
Total32310333
Accuracy
100.0%
Counts
333 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.6%
(copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
29.1%
(copysign.f64 (*.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))))) x)
56.6%
(copysign.f64 (*.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))))) x)
26.4%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
61.7%
(copysign.f64 (log1p.f64 x) x)
22.0%
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
29.8%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
25.3%
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
7.9%
(copysign.f64 (log.f64 (neg.f64 x)) x)
57.1%
(copysign.f64 x x)
Compiler

Compiled 154 to 111 computations (27.9% saved)

localize920.0ms (11.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
cost-diff6464
(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))
cost-diff45248
(*.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)))))
cost-diff45248
(copysign.f64 (*.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))))) x)
accuracy99.6%
(cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
accuracy99.5%
(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))
accuracy80.9%
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
accuracy76.1%
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
Rules
328×fma-define
232×fma-neg
52×distribute-lft-neg-in
50×associate-*r*
46×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031529
153521
290515
3183515
4202515
5217515
6276515
7430515
8561515
9858515
101025515
111168515
121257515
131332515
141353515
151369515
161375515
Stop Event
saturated
Calls
Call 1
Inputs
(copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 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)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(log.f64 (neg.f64 x))
(neg.f64 x)
x
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(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)
(copysign.f64 (*.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))))) 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)))))
(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))
(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)))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(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)
#s(literal 2 binary64)
#s(literal 3 binary64)
Outputs
(copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(copysign.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) 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)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(log.f64 (neg.f64 x))
(neg.f64 x)
x
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(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)
(copysign.f64 (*.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))))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) 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)))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(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))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 6 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)))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(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)
#s(literal 2 binary64)
#s(literal 3 binary64)
Results
168.0ms135×0invalid
317.0ms89×1valid
244.0ms25×2valid
8.0ms0valid
Compiler

Compiled 176 to 123 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 674.0ms
ival-log: 241.0ms (35.8% of total)
ival-hypot: 157.0ms (23.3% of total)
ival-pow: 114.0ms (16.9% of total)
ival-add: 43.0ms (6.4% of total)
ival-cbrt: 38.0ms (5.6% of total)
backward-pass: 33.0ms (4.9% of total)
ival-copysign: 16.0ms (2.4% of total)
ival-mult: 13.0ms (1.9% of total)
ival-div: 12.0ms (1.8% of total)
const: 7.0ms (1% of total)
ival-neg: 1.0ms (0.1% of total)

series33.0ms (0.4%)

Counts
7 → 72
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 (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))>
#<alt (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))>
#<alt (copysign.f64 (*.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))))) x)>
#<alt (*.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)))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
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))>
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#<alt (+.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 8 binary64))) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/9 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (-.f64 (*.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2592 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/9 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/7776 binary64) (/.f64 (-.f64 (*.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/6480 binary64) (-.f64 (*.f64 #s(literal 135/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 15/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (*.f64 #s(literal 75/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))))) (*.f64 #s(literal 1/279936 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/9 binary64)))))>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x)>
#<alt (copysign.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) 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 (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))))))>
Calls

21 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(+ x (sqrt (+ (* 1 1) (* x x))))
3.0ms
x
@-inf
(* -1/6 (pow x 3))
3.0ms
x
@inf
(pow (pow (cbrt (cbrt (log (+ x (sqrt (+ (* 1 1) (* x x))))))) 2) 3)
3.0ms
x
@-inf
(pow (pow (cbrt (cbrt (log (+ x (sqrt (+ (* 1 1) (* x x))))))) 2) 3)
2.0ms
x
@inf
(cbrt (cbrt (log (+ x (sqrt (+ (* 1 1) (* x x)))))))

rewrite147.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
922×log1p-expm1-u
922×expm1-log1p-u
482×prod-diff
258×fma-define
172×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021227
1267177
22947177
Stop Event
node limit
Counts
7 → 176
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(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 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(copysign.f64 (*.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))))) 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 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.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 (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 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 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.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 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (cbrt.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 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(*.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 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.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 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.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 4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 (*.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))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/6 binary64))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/6 binary64)))
(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)))
(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 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 (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 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) 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 #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 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) 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 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) 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 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) 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)))))
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(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 -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal -1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))

simplify347.0ms (4.2%)

Algorithm
egg-herbie
Rules
519×distribute-rgt-in
512×distribute-lft-in
309×fma-define
275×times-frac
252×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063555834584725
1149755834584129
2444155834583639
Stop Event
node limit
Counts
248 → 325
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))
(cbrt.f64 (pow.f64 x #s(literal 2 binary64)))
(+.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))))
(+.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 8/135 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4/35 binary64) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) (*.f64 #s(literal 8/135 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (/.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 (cbrt.f64 (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (/.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 1/3 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -3/16 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1/48 binary64)) (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64))))))))
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (/.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 (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -3/16 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1/48 binary64)) (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 5/48 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 3/64 binary64) (+.f64 (*.f64 #s(literal 1/216 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 1/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal -3/16 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1/48 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))))) (pow.f64 x #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64)))))))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))))
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/48 binary64)) (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))))))))
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 (/.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 1/3 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/48 binary64)) (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -5/48 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/216 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 #s(literal 3/64 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/48 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (pow.f64 x #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64)))))))))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(+.f64 (*.f64 #s(literal -1/54 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 19 binary64))) #s(literal 1/9 binary64))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/54 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) (*.f64 #s(literal 203/29160 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 19 binary64))) #s(literal 1/9 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/54 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -127961/33067440 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 19 binary64))) #s(literal 1/9 binary64))) (*.f64 #s(literal 203/29160 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))))))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)))
(pow.f64 (*.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))))) #s(literal 1/9 binary64))
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(sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(cbrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(exp.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (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 (pow.f64 (cbrt.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 (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 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 -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal -1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 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 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.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))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (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 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 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)))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 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)))))
(-.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 2 binary64)) (-.f64 (+.f64 (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 #s(literal 5/96 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 2 binary64)) (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 5/96 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 2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (log.f64 x))) (/.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 (log.f64 #s(literal 1/2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 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 -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 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 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 (/.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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 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 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal 5/96 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 (/.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)))))))
#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))
(+.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 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 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 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 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 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 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 x (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/16 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))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 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))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 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))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 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) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 x))
(-.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 2 binary64)))
(+.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))))
(fma.f64 #s(literal -1/9 binary64) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 8/135 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
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(pow.f64 (cbrt.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 2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))
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(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))
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(cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64)))
(cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(*.f64 #s(literal 1 binary64) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(*.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) (pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
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(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(*.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 3 binary64))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(pow.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(pow.f64 (sqrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(sqrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 2 binary64)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(log.f64 (exp.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x))))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(cbrt.f64 (pow.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x) #s(literal 3 binary64)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(expm1.f64 (log1p.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(log1p.f64 (expm1.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(exp.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(exp.f64 (*.f64 (log.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 1 binary64)))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.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 #s(literal 2 binary64) (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))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.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 (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 x (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 #s(literal -1 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))
(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 3 binary64))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
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(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(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))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (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)))
(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)))
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(pow.f64 (*.f64 x (cbrt.f64 #s(literal -1/6 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))

eval574.0ms (6.9%)

Compiler

Compiled 19261 to 15332 computations (20.4% saved)

prune183.0ms (2.2%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New6301631
Fresh000
Picked145
Done055
Total63110641
Accuracy
100.0%
Counts
641 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.6%
(copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
29.0%
(copysign.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 12 binary64))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)
56.6%
(copysign.f64 (*.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))))) x)
26.4%
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
61.7%
(copysign.f64 (log1p.f64 x) x)
22.0%
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
29.8%
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
25.3%
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
7.9%
(copysign.f64 (log.f64 (neg.f64 x)) x)
57.1%
(copysign.f64 x x)
Compiler

Compiled 354 to 246 computations (30.5% saved)

regimes30.0ms (0.4%)

Counts
24 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(copysign.f64 (log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(copysign.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 (*.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))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) x)
(copysign.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)
(pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 3 binary64))
(copysign.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) x)
(copysign.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 12 binary64))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 (*.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))))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(copysign.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
Calls

2 calls:

18.0ms
x
8.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes26.0ms (0.3%)

Counts
21 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(copysign.f64 (log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(copysign.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)
(copysign.f64 (*.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))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
(copysign.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) x)
(copysign.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)
(pow.f64 (cbrt.f64 (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)) #s(literal 3 binary64))
Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(copysign.f64 (*.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))))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
Calls

2 calls:

19.0ms
x
5.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x)
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.2%)

Counts
15 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(copysign.f64 (log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(copysign.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(copysign.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x)
(copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
12 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(copysign.f64 (log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(copysign.f64 (log.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) x))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
Outputs
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) x)
Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
85.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
68.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
(copysign.f64 (log1p.f64 x) x)
Outputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
63.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -34.9b remaining (-127%)

Threshold costs -34.9b (-127%)

Counts
2 → 1
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log.f64 #s(literal 0 binary64)) x)
Outputs
(copysign.f64 x x)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
57.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00028841830531980663
12.356952105228666
0.0ms
-0.11297243040359632
-2.0700691169009267e-8
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00028841830531980663
12.356952105228666
0.0ms
-0.11297243040359632
-2.0700691169009267e-8
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch42.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.0002884183093182604
116285.6478541314
21.0ms
-0.11321289065744833
-2.0700691238256358e-8
Results
27.0ms288×0valid
Compiler

Compiled 404 to 291 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 6.0ms (30.4% of total)
ival-log: 4.0ms (20.2% of total)
ival-add: 3.0ms (15.2% of total)
ival-copysign: 2.0ms (10.1% of total)
ival-fabs: 2.0ms (10.1% of total)
ival-sqrt: 2.0ms (10.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.0002884183093182604
116285.6478541314
18.0ms
-2501.659299342255
-0.11321289065744833
Results
23.0ms272×0valid
Compiler

Compiled 358 to 259 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sqrt: 4.0ms (24.1% of total)
ival-add: 3.0ms (18.1% of total)
ival-log: 3.0ms (18.1% of total)
ival-copysign: 2.0ms (12% of total)
ival-fabs: 2.0ms (12% of total)
ival-mult: 2.0ms (12% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.0002884183093182604
116285.6478541314
18.0ms
-2501.659299342255
-0.11321289065744833
Results
27.0ms272×0valid
Compiler

Compiled 340 to 250 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 6.0ms (29.9% of total)
ival-mult: 5.0ms (24.9% of total)
ival-add: 3.0ms (15% of total)
ival-copysign: 2.0ms (10% of total)
ival-fabs: 2.0ms (10% of total)
ival-sqrt: 2.0ms (10% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.0002884183093182604
116285.6478541314
19.0ms
-2501.659299342255
-0.11321289065744833
Results
21.0ms272×0valid
Compiler

Compiled 238 to 165 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 3.0ms (21% of total)
ival-log: 3.0ms (21% of total)
ival-copysign: 2.0ms (14% of total)
ival-fabs: 2.0ms (14% of total)
ival-mult: 2.0ms (14% of total)
ival-sqrt: 2.0ms (14% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
0.0002884183093182604
116285.6478541314
14.0ms
-2501.659299342255
-0.11321289065744833
Results
25.0ms272×0valid
Compiler

Compiled 230 to 157 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (37% of total)
ival-add: 3.0ms (15.8% of total)
ival-log: 3.0ms (15.8% of total)
ival-copysign: 2.0ms (10.6% of total)
ival-fabs: 2.0ms (10.6% of total)
ival-sqrt: 2.0ms (10.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-2501.659299342255
-0.11321289065744833
Results
16.0ms128×0valid
Compiler

Compiled 121 to 84 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-log: 7.0ms (53.9% of total)
ival-copysign: 1.0ms (7.7% of total)
ival-add: 1.0ms (7.7% of total)
ival-fabs: 1.0ms (7.7% of total)
ival-mult: 1.0ms (7.7% of total)
ival-sqrt: 1.0ms (7.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.0002884183093182604
116285.6478541314
Results
10.0ms144×0valid
Compiler

Compiled 116 to 75 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-log: 2.0ms (28.1% of total)
ival-copysign: 1.0ms (14% of total)
ival-add: 1.0ms (14% of total)
ival-fabs: 1.0ms (14% of total)
ival-mult: 1.0ms (14% of total)
ival-sqrt: 1.0ms (14% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify15.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0991149
11251149
21331149
31371149
41381149
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 (*.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))))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -564931537257355/576460752303423488 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 x #s(literal 7839866231326559/9223372036854775808 binary64)) (copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 7839866231326559/9223372036854775808 binary64)) (copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -6980579422424269/2251799813685248 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3602879701896397/2251799813685248 binary64)) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 (*.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))))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -3602879701896397/36028797018963968 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -564931537257355/576460752303423488 binary64)) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) x) (if (<=.f64 x #s(literal 7839866231326559/9223372036854775808 binary64)) (copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 7839866231326559/9223372036854775808 binary64)) (copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -6980579422424269/2251799813685248 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x #s(literal 5/4 binary64)) (copysign.f64 x x) (copysign.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) x)))
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x #s(literal 3602879701896397/2251799813685248 binary64)) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

soundness731.0ms (8.8%)

Rules
766×fma-define
577×fma-neg
558×log1p-expm1-u
558×expm1-log1p-u
501×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04235766
18945334
223365249
363195249
05849508
111878504
241917814
01294
113978
2176978
01881
13272
23772
34172
44972
55672
66872
78172
89472
910672
1014972
1120772
1222672
1324672
1425472
1525872
Stop Event
fuel
saturated
node limit
node limit
node limit
Compiler

Compiled 1424 to 961 computations (32.5% saved)

preprocess202.0ms (2.4%)

Compiler

Compiled 686 to 438 computations (36.2% saved)

end0.0ms (0%)

Profiling

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