Hyperbolic secant

Time bar (total: 4.0s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 10 to 8 computations (20% saved)

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

sample813.0ms (20.2%)

Results
624.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 452.0ms
ival-exp: 282.0ms (62.5% of total)
ival-div: 62.0ms (13.7% of total)
ival-add: 50.0ms (11.1% of total)
ival-neg: 43.0ms (9.5% of total)
const: 11.0ms (2.4% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess117.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
40×fma-neg
40×fma-define
24×sub-neg
14×distribute-lft-neg-in
14×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017124
135124
267124
3113124
4170124
5231124
6286124
7302124
8309124
9320124
10332124
11334124
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))))
(/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Symmetry

(abs x)

explain66.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
01(222.10314965411803)0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
37.0ms512×0valid
Compiler

Compiled 59 to 23 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-exp: 7.0ms (42.5% of total)
ival-div: 4.0ms (24.3% of total)
ival-add: 3.0ms (18.2% of total)
ival-neg: 2.0ms (12.1% of total)
const: 1.0ms (6.1% 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 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize39.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 (neg.f64 x))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Rules
6×fma-define
4×exp-diff
4×exp-sum
3×1-exp
3×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01289
11989
22889
33289
44089
54789
65489
75989
86289
96389
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
Results
18.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 3.0ms (36.3% of total)
ival-div: 2.0ms (24.2% of total)
ival-add: 1.0ms (12.1% of total)
ival-neg: 1.0ms (12.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
4 → 28
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ 2 (+ (exp x) (exp (neg x))))
1.0ms
x
@inf
(/ 2 (+ (exp x) (exp (neg x))))
1.0ms
x
@0
(/ 2 (+ (exp x) (exp (neg x))))
0.0ms
x
@0
(+ (exp x) (exp (neg x)))
0.0ms
x
@0
(exp (neg x))

rewrite145.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
62×add-exp-log
62×add-log-exp
62×log1p-expm1-u
62×expm1-log1p-u
60×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01280
114480
2234380
Stop Event
1×unsound
Counts
4 → 40
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
Outputs
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)

simplify125.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
827×fma-define
601×sub-neg
414×fma-neg
332×associate-+l-
305×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073730
1174657
2437651
31194651
42362651
53053651
64056651
75228651
86615651
Stop Event
1×node limit
Counts
68 → 53
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -61/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) (fma.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x x (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)

eval7.0ms (0.2%)

Compiler

Compiled 574 to 187 computations (67.4% saved)

prune16.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New45853
Fresh000
Picked011
Done000
Total45954
Accuracy
100.0%
Counts
54 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.4%
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
▶99.1%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
64.8%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
✓100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶50.5%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
▶50.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
▶50.6%
#s(literal 1 binary64)
11.0%
#s(literal 1/2 binary64)
▶51.2%
#s(literal 0 binary64)
Compiler

Compiled 135 to 103 computations (23.7% saved)

localize196.0ms (4.8%)

Algorithm
1×egg-herbie
Localize:

Found 22 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff-6272
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
✓cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
✓cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(exp.f64 x)
✓cost-diff0
(+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
✓accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
✓accuracy99.9%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓accuracy99.7%
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
✓accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
Rules
498×fma-neg
452×fma-define
151×distribute-lft-in
125×unsub-neg
93×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023257
142249
274249
3142249
4241249
5324249
6441249
7644249
8997249
91492249
102121249
112491249
122671249
132705249
142716249
152724249
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(exp.f64 x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 5/24 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(exp.f64 x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64))
#s(literal 5/24 binary64)
#s(literal 1/2 binary64)
Results
50.0ms256×0valid
Compiler

Compiled 89 to 19 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 5.0ms (19.7% of total)
...c/correct-round.rkt:121:19: 5.0ms (19.7% of total)
ival-add: 4.0ms (15.8% of total)
ival-pow: 4.0ms (15.8% of total)
ival-sub: 3.0ms (11.8% of total)
ival-div: 2.0ms (7.9% of total)
ival-exp: 2.0ms (7.9% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.4%)

Counts
10 → 73
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/12 binary64))) #s(literal 1/4 binary64))))>
#<alt (/.f64 #s(literal -2 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) #s(literal 2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) x)>
#<alt (/.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) x)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) x)) (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) x)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x))) x))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal -1/2 binary64)>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ 2 (+ (exp x) (- 1 x)))
1.0ms
x
@-inf
(+ (exp x) (- 1 x))
1.0ms
x
@-inf
(/ 2 (+ (exp x) (- 1 x)))
0.0ms
x
@0
(* -1/2 (pow x 2))
0.0ms
x
@inf
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))

rewrite184.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
1078×log1p-expm1-u
977×expm1-log1p-u
139×add-exp-log
138×add-log-exp
138×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022216
1319208
24516208
Stop Event
1×node limit
Counts
10 → 259
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (expm1.f64 x) x))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 x (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (expm1.f64 x) x)))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 x) x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 (expm1.f64 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 x #s(literal 2 binary64))) (+.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x))
(pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (exp.f64 x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.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 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (neg.f64 x)))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))) (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64))))))
(*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64)))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal -1/4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 5/24 binary64))) (*.f64 x (sqrt.f64 #s(literal 5/24 binary64))) #s(literal -1/2 binary64))

simplify322.0ms (8%)

Algorithm
1×egg-herbie
Rules
552×fma-neg
423×distribute-lft-neg-in
286×sub-neg
249×associate-*r*
241×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063711593
1142811155
2494410419
Stop Event
1×node limit
Counts
332 → 386
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/12 binary64))) #s(literal 1/4 binary64))))
(/.f64 #s(literal -2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) #s(literal 2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))) x)
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) x)
(/.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) x)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) x)) (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) x)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x))) x))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))))
#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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #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) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))) (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64))))))
(*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64)))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal -1/4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 5/24 binary64))) (*.f64 x (sqrt.f64 #s(literal 5/24 binary64))) #s(literal -1/2 binary64))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/12 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/12 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/12 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) #s(literal 2 binary64)) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal -2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))) x)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) x))) x)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x) #s(literal 2 binary64)) x)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x) #s(literal -2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) x)
(/.f64 (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x) #s(literal -2 binary64))) x)
(/.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))) x))
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal -2 binary64)) x)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) x)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) x) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) x))) x))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64)))) (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 125/13824 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -25/576 binary64) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/24 binary64) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 5/24 binary64))) (*.f64 x (sqrt.f64 #s(literal 5/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/24 binary64) #s(literal -1/2 binary64))

eval100.0ms (2.5%)

Compiler

Compiled 6854 to 1389 computations (79.7% saved)

prune148.0ms (3.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New4274431
Fresh123
Picked235
Done011
Total43010440
Accuracy
100.0%
Counts
440 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.4%
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
▶84.7%
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x)))
▶77.0%
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
✓99.1%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
✓100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
50.5%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
▶50.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓50.6%
#s(literal 1 binary64)
▶11.0%
#s(literal 1/2 binary64)
✓51.2%
#s(literal 0 binary64)
Compiler

Compiled 156 to 114 computations (26.9% saved)

localize413.0ms (10.2%)

Algorithm
1×egg-herbie
Localize:

Found 26 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x x #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓cost-diff-5888
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x))
✓cost-diff-5888
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓cost-diff-6272
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
✓cost-diff-6272
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(*.f64 x #s(literal 1/6 binary64))
✓accuracy100.0%
(fma.f64 x x #s(literal 2 binary64))
✓accuracy99.7%
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
✓accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x))
✓accuracy99.7%
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x)))
✓accuracy99.4%
(*.f64 x #s(literal 1/6 binary64))
Rules
883×fma-define
661×sub-neg
445×distribute-neg-in
386×neg-sub0
352×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031616
179512
2198496
3519452
41446452
53631452
65223452
76717452
87470452
97905452
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x)))
#s(literal 2 binary64)
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
x
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
#s(literal 2 binary64)
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x))
(/.f64 #s(literal 2 binary64) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) x))
(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x)
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) x))
(/.f64 #s(literal 2 binary64) (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) x))
(/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(-.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) x)
(-.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
Results
234.0ms256×0valid
Compiler

Compiled 184 to 27 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 16.0ms (39.6% of total)
ival-add: 10.0ms (24.7% of total)
ival-div: 5.0ms (12.4% of total)
...c/correct-round.rkt:121:19: 4.0ms (9.9% of total)
ival-fma: 3.0ms (7.4% of total)
ival-sub: 2.0ms (4.9% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.6%)

Counts
14 → 168
Calls
Call 1
Inputs
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))>
#<alt (fma.f64 x x #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/12 binary64))) #s(literal 1/4 binary64))))>
#<alt (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 12 binary64) (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 108 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 108 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 468 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 108 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 36 binary64)) x)) #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 468 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 108 binary64)) x)) #s(literal 36 binary64)) x)) #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64))))>
#<alt (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ 2 (+ (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (- 1 x)))
0.0ms
x
@0
(* x 1/6)
0.0ms
x
@inf
(/ 2 (+ (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (- 1 x)))
0.0ms
x
@-inf
(+ (+ 1 (* x (+ 1 (* x 1/2)))) (- 1 x))
0.0ms
x
@inf
(/ 2 (+ (+ 1 (* x (+ 1 (* x 1/2)))) (- 1 x)))

rewrite130.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
268×log1p-expm1-u
268×expm1-log1p-u
262×add-cube-cbrt
260×add-exp-log
259×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031375
1565317
Stop Event
1×node limit
Counts
14 → 312
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/6 binary64))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 x x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x))))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x)))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) x))))
(exp.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))))
(exp.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64)))
(+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(+.f64 x (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(-.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
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(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) x)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) x))) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))

simplify226.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
803×fma-neg
367×associate-*r*
359×associate-*l*
330×fma-define
249×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085315937
1202415449
2695715401
Stop Event
1×node limit
Counts
480 → 522
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/12 binary64))) #s(literal 1/4 binary64))))
(/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 12 binary64) (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 108 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 108 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 468 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 108 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 36 binary64)) x)) #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 468 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 108 binary64)) x)) #s(literal 36 binary64)) x)) #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
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(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) x)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) x))) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
Outputs
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/12 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/12 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/12 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 12 binary64) (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 36 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -36 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 108 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 12 binary64) (-.f64 (/.f64 #s(literal 108 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 36 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 108 binary64) x) #s(literal -36 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 108 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 468 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 108 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 36 binary64) x) (/.f64 #s(literal 468 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 12 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 108 binary64) x) #s(literal -36 binary64)) x) (/.f64 #s(literal 468 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 12 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 36 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -36 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 108 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 36 binary64)) x)) #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 108 binary64) x) #s(literal -36 binary64)) x) #s(literal -12 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 108 binary64) x) #s(literal -36 binary64)) x) #s(literal -12 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 468 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 108 binary64)) x)) #s(literal 36 binary64)) x)) #s(literal 12 binary64)) (pow.f64 x #s(literal 3 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 468 binary64) x) #s(literal -108 binary64)) x) #s(literal -36 binary64)) x) #s(literal -12 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 468 binary64) x) #s(literal -108 binary64)) x) #s(literal -36 binary64)) x) #s(literal -12 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/6 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
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(fma.f64 x x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))))
(fma.f64 x x #s(literal 2 binary64))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))))
(fma.f64 x x #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 x x #s(literal -2 binary64)))
(pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 x x #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x x #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 x x #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x x #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x x #s(literal 2 binary64))))
(fma.f64 x x #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal 2 binary64)))))
(fma.f64 x x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x x #s(literal 2 binary64))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x x #s(literal 2 binary64))))
(fma.f64 x x #s(literal 2 binary64))
(exp.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))))
(fma.f64 x x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) x)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) x))) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (+.f64 #s(literal -1/4 binary64) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (neg.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))

eval79.0ms (2%)

Compiler

Compiled 11959 to 2543 computations (78.7% saved)

prune69.0ms (1.7%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New6000600
Fresh011
Picked055
Done044
Total60010610
Accuracy
100.0%
Counts
610 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.4%
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
✓84.7%
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x)))
✓77.0%
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
✓99.1%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
✓100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶50.5%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
✓50.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓50.6%
#s(literal 1 binary64)
✓11.0%
#s(literal 1/2 binary64)
✓51.2%
#s(literal 0 binary64)
Compiler

Compiled 89 to 66 computations (25.8% saved)

localize54.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff-12608
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
cost-diff-6336
(*.f64 x x)
✓cost-diff-6336
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
cost-diff0
(pow.f64 x #s(literal 2 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
✓accuracy99.9%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
✓accuracy99.7%
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
Rules
52×fma-define
16×associate-*r*
12×*-commutative
11×associate-*l*
8×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015134
132130
250130
396130
4175130
5192130
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
#s(literal 5/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 5/24 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/2 binary64)
Results
31.0ms256×0valid
Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 5.0ms (27.9% of total)
...c/correct-round.rkt:121:19: 4.0ms (22.3% of total)
ival-pow: 4.0ms (22.3% of total)
ival-sub: 2.0ms (11.2% of total)
ival-add: 1.0ms (5.6% of total)
const: 1.0ms (5.6% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0.1%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 5/24 binary64) (*.f64 x x))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* (pow x 2) (- (* 5/24 (* x x)) 1/2))
0.0ms
x
@inf
(* (pow x 2) (- (* 5/24 (* x x)) 1/2))
0.0ms
x
@0
(* (pow x 2) (- (* 5/24 (* x x)) 1/2))
0.0ms
x
@0
(* 5/24 (* x x))
0.0ms
x
@inf
(* 5/24 (* x x))

rewrite99.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
563×unpow-prod-down
552×log1p-expm1-u
552×expm1-log1p-u
471×pow1
303×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01349
113749
2157149
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(*.f64 #s(literal 5/24 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
Outputs
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5/24 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5/24 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 5/24 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5/24 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 5/24 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 5/24 binary64) x))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 5/24 binary64) x)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(+.f64 (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 5/24 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 5/24 binary64))) x) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))

simplify91.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
972×prod-exp
690×fma-define
348×exp-prod
346×associate-*r*
257×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01922695
13452695
26682695
315362695
444442695
Stop Event
1×node limit
Counts
87 → 79
Calls
Call 1
Inputs
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5/24 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5/24 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 5/24 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5/24 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 5/24 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 5/24 binary64) x))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 5/24 binary64) x)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(+.f64 (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 5/24 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 5/24 binary64))) x) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5/48 binary64)))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5/24 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5/24 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 5/24 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 5/24 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/576 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 125/13824 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 5/24 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 5/24 binary64))))
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eval28.0ms (0.7%)

Compiler

Compiled 1910 to 476 computations (75.1% saved)

prune19.0ms (0.5%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1111112
Fresh000
Picked101
Done189
Total1139122
Accuracy
100.0%
Counts
122 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓84.7%
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x)))
✓77.0%
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
✓99.1%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
✓100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
50.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
✓50.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓50.6%
#s(literal 1 binary64)
✓11.0%
#s(literal 1/2 binary64)
✓51.2%
#s(literal 0 binary64)
Compiler

Compiled 213 to 117 computations (45.1% saved)

regimes16.0ms (0.4%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Calls

3 calls:

7.0ms
x
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(literal 0 binary64)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
#s(literal 0 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
#s(literal 0 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
59.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
51.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch13.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
222.10314965411803
3437.2117061441077
Results
6.0ms96×0valid
Compiler

Compiled 121 to 88 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (54.5% of total)
ival-div: 1.0ms (27.2% of total)
ival-add: 1.0ms (27.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch13.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.27115787211566794
222.10314965411803
Results
8.0ms128×0valid
Compiler

Compiled 109 to 90 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (41% of total)
ival-div: 1.0ms (20.5% of total)
ival-add: 1.0ms (20.5% of total)
ival-neg: 1.0ms (20.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
222.10314965411803
3437.2117061441077
Results
6.0ms96×0valid
Compiler

Compiled 49 to 46 computations (6.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (55.7% of total)
ival-div: 1.0ms (27.9% of total)
ival-add: 1.0ms (27.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch11.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
222.10314965411803
3437.2117061441077
Results
6.0ms96×0valid
Compiler

Compiled 49 to 46 computations (6.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (56% of total)
ival-div: 1.0ms (28% of total)
ival-add: 1.0ms (28% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
5×*-commutative
4×sub-neg
3×1-exp
2×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040189
157189
263189
366189
467189
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 340 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 350 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 350 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 340 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 340 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 350 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 350 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness372.0ms (9.2%)

Rules
1078×log1p-expm1-u
977×expm1-log1p-u
827×fma-define
601×sub-neg
414×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022216
1319208
24516208
01280
114480
2234380
073730
1174657
2437651
31194651
42362651
53053651
64056651
75228651
86615651
Stop Event
1×fuel
1×node limit
1×unsound
1×node limit
Compiler

Compiled 115 to 63 computations (45.2% saved)

preprocess38.0ms (0.9%)

Remove

(abs x)

Compiler

Compiled 174 to 106 computations (39.1% saved)

end0.0ms (0%)

Profiling

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