Hyperbolic arc-cosine

Time bar (total: 4.8s)

analyze84.0ms (1.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
16.7%12.5%62.5%0%0%25%0%4
30%18.7%43.7%0%0%37.5%0%5
38.9%21.9%34.4%0%0%43.7%0%6
44.1%23.4%29.7%0%0%46.9%0%7
47%24.2%27.3%0%0%48.4%0%8
48.5%24.6%26.2%0%0%49.2%0%9
49.2%24.8%25.6%0%0%49.6%0%10
49.6%24.9%25.3%0%0%49.8%0%11
49.8%24.9%25.1%0%0%49.9%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-log: 10.0ms (25.6% of total)
ival-sqrt: 9.0ms (23.1% of total)
ival-mult: 8.0ms (20.5% of total)
ival-sub: 5.0ms (12.8% of total)
ival-add: 5.0ms (12.8% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

sample2.2s (46.3%)

Results
1.1s8513×0invalid
710.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 822.0ms
ival-mult: 224.0ms (27.2% of total)
ival-sqrt: 181.0ms (22% of total)
ival-log: 147.0ms (17.9% of total)
ival-add: 145.0ms (17.6% of total)
ival-sub: 96.0ms (11.7% of total)
const: 23.0ms (2.8% of total)
backward-pass: 6.0ms (0.7% of total)
Bogosity

preprocess259.0ms (5.4%)

Algorithm
egg-herbie
Rules
653×distribute-lft-out
621×distribute-rgt-out--
518×unsub-neg
473×sub-neg
450×distribute-rgt-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
148132
283132
3179132
4416132
5923132
61685132
73206132
84236132
94890132
105182132
115490132
125640132
135713132
145924132
156691132
166872132
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))

explain111.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-0-(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-x
00-0-(-.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
00-0-#s(literal 1 binary64)
00-0-(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
Results
65.0ms512×0valid
Compiler

Compiled 80 to 43 computations (46.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-sub: 14.0ms (33.1% of total)
ival-sqrt: 11.0ms (26% of total)
ival-log: 6.0ms (14.2% of total)
ival-add: 5.0ms (11.8% of total)
ival-mult: 4.0ms (9.5% of total)
const: 2.0ms (4.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize43.0ms (0.9%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
100.0%
(-.f64 (*.f64 x x) #s(literal 1 binary64))
100.0%
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
54.5%
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
31.0ms256×0valid
Compiler

Compiled 35 to 18 computations (48.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sub: 6.0ms (29.1% of total)
ival-sqrt: 5.0ms (24.3% of total)
ival-log: 3.0ms (14.6% of total)
ival-add: 3.0ms (14.6% of total)
ival-mult: 2.0ms (9.7% of total)
const: 1.0ms (4.9% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.2%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))>
#<alt (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))>
#<alt (-.f64 (*.f64 x x) #s(literal 1 binary64))>
#<alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))>
Outputs
#<alt (sqrt.f64 #s(literal -1 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 #s(literal -1 binary64))>
#<alt (+.f64 x (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 2 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.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 #s(literal -1 binary64)>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (log.f64 (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.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) (pow.f64 x #s(literal 2 binary64)))))>
#<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 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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 binary64) (/.f64 (+.f64 #s(literal 3/32 binary64) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (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 (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) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.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) (/.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

12 calls:

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

rewrite234.0ms (4.8%)

Algorithm
batch-egg-rewrite
Rules
693×log1p-expm1-u
693×expm1-log1p-u
598×unpow-prod-down
406×fma-define
311×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01294
115594
2207694
Stop Event
node limit
Counts
4 → 291
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
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(log.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal -1 binary64))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 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 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.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 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 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 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 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 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))

simplify195.0ms (4%)

Algorithm
egg-herbie
Rules
565×times-frac
441×unswap-sqr
355×fma-neg
332×associate-*r*
324×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07954294982142
116094294981754
247404294980857
Stop Event
node limit
Counts
339 → 476
Calls
Call 1
Inputs
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(sqrt.f64 #s(literal -1 binary64))
(+.f64 x (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 2 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
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(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))
Outputs
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 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 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(sqrt.f64 #s(literal -1 binary64))
(+.f64 x (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 x (fma.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 #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 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 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) (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 #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 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (+.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 (neg.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 2 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))))) x))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 2 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))))) x)
#s(literal -1 binary64)
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
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(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 1/3 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 7 binary64)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (cbrt.f64 (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (cbrt.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 3 binary64))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
(neg.f64 (log.f64 (-.f64 (/.f64 x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 3 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))

eval136.0ms (2.8%)

Compiler

Compiled 8679 to 6472 computations (25.4% saved)

prune77.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4724476
Fresh000
Picked011
Done000
Total4725477
Accuracy
100.0%
Counts
477 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
52.5%
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
52.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.2%
(log.f64 (+.f64 x x))
99.5%
(log.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
Compiler

Compiled 44 to 33 computations (25% saved)

localize171.0ms (3.5%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.7%
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
100.0%
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
99.6%
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
99.2%
(cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
54.5%
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
100.0%
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
100.0%
(pow.f64 x #s(literal 2 binary64))
99.3%
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
Results
129.0ms256×0valid
Compiler

Compiled 105 to 70 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-log: 19.0ms (20.1% of total)
ival-fma: 17.0ms (18% of total)
ival-pow: 14.0ms (14.8% of total)
ival-div: 11.0ms (11.6% of total)
ival-sqrt: 9.0ms (9.5% of total)
ival-add: 8.0ms (8.5% of total)
ival-mult: 6.0ms (6.3% of total)
ival-cbrt: 5.0ms (5.3% of total)
ival-sub: 4.0ms (4.2% of total)
const: 3.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

series90.0ms (1.9%)

Counts
8 → 68
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))>
#<alt (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))>
#<alt (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
Outputs
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)>
#<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 #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 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (sqrt.f64 #s(literal -1 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/9 binary64)) x)))>
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#<alt (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal 2 binary64)))))>
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#<alt (sqrt.f64 #s(literal -1 binary64))>
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Calls

24 calls:

TimeVariablePointExpression
45.0ms
x
@0
(+ (log 2) (log x))
12.0ms
x
@-inf
(+ (log 2) (log x))
9.0ms
x
@inf
(+ (log 2) (log x))
3.0ms
x
@inf
(* 3 (log (cbrt (+ x (sqrt (+ (* x x) -1))))))
3.0ms
x
@inf
(cbrt (+ x (sqrt (+ (* x x) -1))))

rewrite169.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
990×log1p-expm1-u
990×expm1-log1p-u
289×fma-neg
140×add-exp-log
138×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024192
1323182
24337182
Stop Event
node limit
Counts
8 → 204
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 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)))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) x) (+.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(pow.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1/3 binary64)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 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 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x)
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(*.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 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log1p.f64 #s(literal 1 binary64)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (log.f64 x) (log1p.f64 #s(literal 1 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)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 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) (log1p.f64 #s(literal 1 binary64)) (log.f64 x))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 #s(literal 1 binary64)))

simplify164.0ms (3.4%)

Algorithm
egg-herbie
Rules
683×times-frac
293×fma-neg
293×fma-define
265×*-commutative
242×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074625769814796
1167925769814231
2489625769813813
Stop Event
node limit
Counts
272 → 390
Calls
Call 1
Inputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(*.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 #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) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/9 binary64)) x)))
(+.f64 (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/9 binary64))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/9 binary64))))))
(+.f64 (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/9 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/27 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/9 binary64)))))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/9 binary64)))))))))))
(*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal 2 binary64)))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x)
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(*.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 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64))))) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log1p.f64 #s(literal 1 binary64)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (log.f64 x) (log1p.f64 #s(literal 1 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)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 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) (log1p.f64 #s(literal 1 binary64)) (log.f64 x))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(*.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 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.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 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.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 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #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 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #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 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #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 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 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 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.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))))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/9 binary64)) x)))
(+.f64 (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/9 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 1/9 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/9 binary64))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/9 binary64))))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64)))))))
(*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64))) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #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))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(log.f64 (*.f64 x #s(literal 2 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)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(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)))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 #s(literal 1 binary64)) (log.f64 x))
(+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 x) (log1p.f64 #s(literal 1 binary64)))
(+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 #s(literal 1 binary64))) (log.f64 x))
(+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 x)) (log1p.f64 #s(literal 1 binary64)))
(+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (sqrt.f64 (log1p.f64 #s(literal 1 binary64))) (log.f64 x))
(+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 #s(literal 1 binary64)))
(+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 x) (log1p.f64 #s(literal 1 binary64)))

eval129.0ms (2.7%)

Compiler

Compiled 8419 to 7020 computations (16.6% saved)

prune54.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3891390
Fresh000
Picked224
Done011
Total3914395
Accuracy
100.0%
Counts
395 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
52.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.2%
(log.f64 (+.f64 x x))
99.5%
(log.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
Compiler

Compiled 38 to 27 computations (28.9% saved)

localize47.0ms (1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
99.3%
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
Results
34.0ms256×0valid
Compiler

Compiled 39 to 22 computations (43.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 8.0ms (36.3% of total)
ival-mult: 6.0ms (27.2% of total)
ival-sub: 4.0ms (18.2% of total)
ival-log: 3.0ms (13.6% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

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

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* x (- 2 (/ 1/2 (* x x))))
0.0ms
x
@0
(* x (- 2 (/ 1/2 (* x x))))
0.0ms
x
@0
(/ 1/2 (* x x))
0.0ms
x
@inf
(* x (- 2 (/ 1/2 (* x x))))
0.0ms
x
@-inf
(/ 1/2 (* x x))

rewrite94.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
627×log1p-expm1-u
627×expm1-log1p-u
549×unpow-prod-down
302×log-prod
270×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01147
113047
2174643
Stop Event
node limit
Counts
2 → 81
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64)))) x) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))) x) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) x))

simplify74.0ms (1.5%)

Algorithm
egg-herbie
Rules
912×fma-define
722×distribute-lft-in
655×distribute-rgt-in
262×times-frac
257×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02302639
14392639
28802587
325612395
Stop Event
node limit
Counts
105 → 118
Calls
Call 1
Inputs
(/.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)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(*.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 #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) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64)))) x) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))) x) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) x))
Outputs
(/.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)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.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 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 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 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 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 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 0 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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal -2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 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 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 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 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.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 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 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 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 #s(literal 1/4 binary64) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (*.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)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64))))
(expm1.f64 (log1p.f64 (*.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)))
(log1p.f64 (expm1.f64 (*.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)))
(exp.f64 (log.f64 (*.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)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64)))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) x))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 x (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 x (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 x (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal -1/8 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal -1/8 binary64) #s(literal 8 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/4 binary64) #s(literal 4 binary64)) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/4 binary64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64)))) x) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 x (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 (-.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64)))) (/.f64 x (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal -1/8 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal -1/8 binary64) #s(literal 8 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))) x) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 x (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/4 binary64) #s(literal 4 binary64)) (/.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/4 binary64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) x))
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))

eval38.0ms (0.8%)

Compiler

Compiled 1772 to 1465 computations (17.3% saved)

prune17.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1180118
Fresh000
Picked011
Done033
Total1184122
Accuracy
100.0%
Counts
122 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
52.7%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.2%
(log.f64 (+.f64 x x))
99.5%
(log.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
Compiler

Compiled 88 to 62 computations (29.5% saved)

regimes10.0ms (0.2%)

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

3 calls:

4.0ms
x
3.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
99.5%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
Outputs
(log.f64 (+.f64 x x))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01555
11855
22755
33655
44355
54755
64855
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(log.f64 (+.f64 x x))

soundness352.0ms (7.3%)

Rules
990×log1p-expm1-u
990×expm1-log1p-u
565×times-frac
441×unswap-sqr
355×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07954294982142
116094294981754
247404294980857
024192
1323182
24337182
Stop Event
done
node limit
node limit
Compiler

Compiled 71 to 55 computations (22.5% saved)

preprocess30.0ms (0.6%)

Compiler

Compiled 50 to 34 computations (32% saved)

end0.0ms (0%)

Profiling

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