Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Time bar (total: 1.8s)

analyze1.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 7 to 5 computations (28.6% saved)

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

sample746.0ms (40.6%)

Results
476.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 198.0ms
ival-sub: 117.0ms (59.2% of total)
ival-div: 66.0ms (33.4% of total)
const: 12.0ms (6.1% of total)
backward-pass: 3.0ms (1.5% of total)
Bogosity

preprocess58.0ms (3.2%)

Algorithm
egg-herbie
Rules
175×fma-define
67×fma-neg
39×associate-*l*
26×times-frac
23×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01396
13180
26076
312776
426776
545476
665276
774076
877176
978376
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x))))
Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 x (-.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))

explain54.0ms (2.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(/.f64 x (-.f64 #s(literal 1 binary64) x))
Results
26.0ms512×0valid
Compiler

Compiled 30 to 20 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 6.0ms (53% of total)
ival-div: 4.0ms (35.3% of total)
const: 1.0ms (8.8% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize21.0ms (1.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Results
15.0ms256×0valid
Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (50.8% of total)
ival-sub: 3.0ms (38.1% of total)
const: 1.0ms (12.7% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0.1%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) x))>
Outputs
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64))>
Calls

3 calls:

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

rewrite192.0ms (10.4%)

Algorithm
batch-egg-rewrite
Rules
449×log1p-expm1-u
449×expm1-log1p-u
433×add-exp-log
420×add-log-exp
393×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
18819
2118119
Stop Event
node limit
Counts
1 → 71
Calls
Call 1
Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)))

simplify82.0ms (4.5%)

Algorithm
egg-herbie
Rules
664×fma-neg
563×distribute-lft-neg-out
359×associate-*r*
355×associate-*l*
313×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02342710
14742642
210552597
343532573
Stop Event
node limit
Counts
83 → 135
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
Outputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
(+.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
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(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -3 binary64)))
(cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))

eval33.0ms (1.8%)

Compiler

Compiled 1668 to 1274 computations (23.6% saved)

prune17.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1314135
Fresh000
Picked011
Done000
Total1315136
Accuracy
100.0%
Counts
136 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
99.9%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
45.2%
(*.f64 x (+.f64 x #s(literal 1 binary64)))
45.9%
x
56.1%
#s(literal -1 binary64)
Compiler

Compiled 24 to 18 computations (25% saved)

localize51.0ms (2.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
99.9%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
100.0%
(*.f64 x (+.f64 x #s(literal 1 binary64)))
Results
34.0ms256×0valid
Compiler

Compiled 32 to 23 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 7.0ms (34.5% of total)
ival-mult: 6.0ms (29.5% of total)
ival-add: 5.0ms (24.6% of total)
const: 2.0ms (9.8% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.2%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (*.f64 x (+.f64 x #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))>
Outputs
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<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) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<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) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
Calls

9 calls:

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

rewrite104.0ms (5.6%)

Algorithm
batch-egg-rewrite
Rules
771×log1p-expm1-u
771×expm1-log1p-u
370×log-prod
242×prod-diff
193×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01257
116556
2222256
Stop Event
node limit
Counts
3 → 135
Calls
Call 1
Inputs
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
Outputs
(+.f64 x (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x x x))
(+.f64 (pow.f64 x #s(literal 2 binary64)) x)
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) (cbrt.f64 (exp.f64 (fma.f64 x x x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x x))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x x))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) #s(literal 2 binary64)))
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -2 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (neg.f64 (log.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -1 binary64))

simplify148.0ms (8.1%)

Algorithm
egg-herbie
Rules
576×times-frac
425×exp-prod
409×associate-*r*
395×fma-define
386×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03294693
16984386
216614039
369404039
Stop Event
node limit
Counts
171 → 200
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(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) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(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) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
#s(literal -1 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 x (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x x x))
(+.f64 (pow.f64 x #s(literal 2 binary64)) x)
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) (cbrt.f64 (exp.f64 (fma.f64 x x x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x x))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x x))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) #s(literal 6 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x x)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) #s(literal 2 binary64)))
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -2 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (neg.f64 (log.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -1 binary64))
Outputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(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) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(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) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 x (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(*.f64 x (fma.f64 x (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal -1 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal -1 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 x (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(+.f64 #s(literal 0 binary64) (fma.f64 x x x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(+.f64 (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) (cbrt.f64 (exp.f64 (fma.f64 x x x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x x))) #s(literal 1 binary64))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (+.f64 x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (+.f64 x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(pow.f64 (cbrt.f64 (fma.f64 x x x)) #s(literal 3 binary64))
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(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (cbrt.f64 x)))

eval43.0ms (2.3%)

Compiler

Compiled 2257 to 1737 computations (23% saved)

prune65.0ms (3.6%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2000200
Fresh000
Picked044
Done011
Total2005205
Accuracy
100.0%
Counts
205 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
99.9%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
45.2%
(*.f64 x (+.f64 x #s(literal 1 binary64)))
45.9%
x
56.1%
#s(literal -1 binary64)
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes5.0ms (0.3%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0.1%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
96.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
Outputs
#s(literal -1 binary64)
x
#s(literal -1 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
96.8%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
56.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch26.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.951594274040208e-29
3.689671797388733e-17
11.0ms
-49482988447945640.0
-67130702668870.49
Results
14.0ms288×0valid
Compiler

Compiled 190 to 151 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 2.0ms (45.1% of total)
ival-div: 2.0ms (45.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
5.951594274040208e-29
3.689671797388733e-17
8.0ms
-49482988447945640.0
-67130702668870.49
Results
12.0ms288×0valid
Compiler

Compiled 118 to 97 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 2.0ms (45.9% of total)
ival-div: 2.0ms (45.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
if-if-or-not
1-exp
+-commutative
sub-neg
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02295
13895
24195
34395
44495
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal -68000000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 5841333965851681/162259276829213363391578010288128 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -68000000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 5841333965851681/162259276829213363391578010288128 binary64)) x #s(literal -1 binary64)))
#s(literal -1 binary64)
Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal -68000000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 5841333965851681/162259276829213363391578010288128 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -68000000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 5841333965851681/162259276829213363391578010288128 binary64)) x #s(literal -1 binary64)))
#s(literal -1 binary64)

soundness121.0ms (6.6%)

Rules
664×fma-neg
563×distribute-lft-neg-out
359×associate-*r*
355×associate-*l*
313×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02342710
14742642
210552597
343532573
Stop Event
done
node limit
Compiler

Compiled 44 to 31 computations (29.5% saved)

preprocess31.0ms (1.7%)

Compiler

Compiled 78 to 56 computations (28.2% saved)

end0.0ms (0%)

Profiling

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