Hyperbolic secant

Time bar (total: 2.8s)

analyze0.0ms (0%)

Algorithm
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
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-exp, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

sample1.2s (44.2%)

Results
1.1s8255×0valid
0.0ms0valid
Precisions
Click to see histograms. Total time spent on operations: 540.0ms
Operation ival-neg, time spent: 167.0ms, 31.0% of total-time
Operation ival-exp, time spent: 166.0ms, 31.0% of total-time
Operation ival-div, time spent: 124.0ms, 23.0% of total-time
Operation ival-add, time spent: 68.0ms, 13.0% of total-time
Operation const, time spent: 11.0ms, 2.0% of total-time
Operation backward-pass, time spent: 4.0ms, 1.0% of total-time
Bogosity

preprocess144.0ms (5.2%)

Algorithm
egg-herbie
Rules
40×fma-neg
40×fma-define
24×sub-neg
14×distribute-lft-neg-in
14×cancel-sign-sub-inv
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(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))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017124
135124
267124
3113124
4170124
5231124
6286124
7302124
8309124
9320124
10332124
11334124
Stop Event
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)

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
Operation ival-exp, time spent: 7.0ms, 41.0% of total-time
Operation ival-div, time spent: 4.0ms, 24.0% of total-time
Operation ival-add, time spent: 3.0ms, 18.0% of total-time
Operation ival-neg, time spent: 2.0ms, 12.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

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)

localize35.0ms (1.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-exp, time spent: 4.0ms, 48.0% of total-time
Operation ival-div, time spent: 2.0ms, 24.0% of total-time
Operation ival-add, time spent: 1.0ms, 12.0% of total-time
Operation ival-neg, time spent: 1.0ms, 12.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series3.0ms (0.1%)

Counts
1 → 8
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (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))))>
Calls

3 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))))

rewrite143.0ms (5.2%)

Algorithm
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
01220
114420
2234320
Stop Event
unsound
Counts
1 → 10
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (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)

simplify451.0ms (16.3%)

Algorithm
egg-herbie
Rules
2386×fma-define
584×fma-neg
386×distribute-lft-in
264×associate-+l-
250×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037256
168240
2136240
3294240
4582240
5929240
61108240
71587240
82418240
93827240
104702240
115157240
125232240
135240240
145240240
155372240
165428240
175428240
187311240
197311240
207311240
217311240
227311240
237313240
Stop Event
saturated
Counts
18 → 23
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 -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))
(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)))
(+.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))
(fma.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 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))))
(/.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 -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)

eval20.0ms (0.7%)

Compiler

Compiled 173 to 143 computations (17.3% saved)

prune4.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New19423
Fresh000
Picked011
Done000
Total19524
Accuracy
100.0%
Counts
24 → 5
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))))
49.6%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
49.9%
#s(literal 1 binary64)
10.9%
#s(literal 1/2 binary64)
51.9%
#s(literal 0 binary64)
Compiler

Compiled 23 to 20 computations (13% saved)

localize46.0ms (1.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
100.0%
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 24 to 20 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-pow, time spent: 8.0ms, 52.0% of total-time
Operation ival-mult, time spent: 4.0ms, 26.0% of total-time
Operation ival-add, time spent: 1.0ms, 7.0% of total-time
Operation const, time spent: 1.0ms, 7.0% of total-time

series3.0ms (0.1%)

Counts
2 → 9
Calls
Call 1
Inputs
#<alt (*.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))))>
Outputs
#<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)))>
Calls

6 calls:

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

rewrite76.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
417×log1p-expm1-u
417×expm1-log1p-u
401×add-exp-log
386×add-log-exp
380×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01138
110634
2123234
Stop Event
node limit
Counts
2 → 84
Calls
Call 1
Inputs
(*.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))))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (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))) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (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))) #s(literal -1/2 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 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 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))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 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 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #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 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.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 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 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 #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))

simplify106.0ms (3.8%)

Algorithm
egg-herbie
Rules
768×prod-exp
466×times-frac
294×associate-+l+
280×div-sub
243×fma-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02033605
13653471
27572724
324602712
455762678
Stop Event
node limit
Counts
93 → 112
Calls
Call 1
Inputs
#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)))
(*.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)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (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))) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (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))) #s(literal -1/2 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 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 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))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 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 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #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 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.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 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 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 #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
Outputs
#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)))
(*.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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 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 (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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 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 (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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 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 -1/2 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 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 (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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 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 (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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 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 0 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (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))) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (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))) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (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)))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.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)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 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)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
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(fma.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 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))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1 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))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))

eval50.0ms (1.8%)

Compiler

Compiled 1538 to 1331 computations (13.5% saved)

prune16.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1111112
Fresh000
Picked134
Done011
Total1125117
Accuracy
100.0%
Counts
117 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
49.9%
#s(literal 1 binary64)
10.9%
#s(literal 1/2 binary64)
51.9%
#s(literal 0 binary64)
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize120.0ms (4.3%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
Operation composed, time spent: 7.0ms, 40.0% of total-time
Operation ival-mult, time spent: 5.0ms, 29.0% of total-time
Operation ival-add, time spent: 5.0ms, 29.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done044
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
49.9%
#s(literal 1 binary64)
10.9%
#s(literal 1/2 binary64)
51.9%
#s(literal 0 binary64)
Compiler

Compiled 47 to 38 computations (19.1% saved)

regimes6.0ms (0.2%)

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

3 calls:

4.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
(+.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)

regimes8.0ms (0.3%)

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

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.2%)

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)

regimes5.0ms (0.2%)

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:

4.0ms
x
Results
AccuracySegmentsBranch
59.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
51.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch19.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.8979907029381174
4.07067704974114
Results
16.0ms95×0valid
0.0ms0valid
Compiler

Compiled 79 to 64 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-exp, time spent: 8.0ms, 84.0% of total-time
Operation ival-div, time spent: 1.0ms, 10.0% of total-time
Operation ival-add, time spent: 1.0ms, 10.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation backward-pass, time spent: 0.0ms, 0.0% of total-time
Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

bsearch19.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
4.07067704974114
4830180790.395928
Results
16.0ms143×0valid
0.0ms0valid
Compiler

Compiled 67 to 64 computations (4.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-exp, time spent: 3.0ms, 54.0% of total-time
Operation ival-div, time spent: 1.0ms, 18.0% of total-time
Operation ival-add, time spent: 1.0ms, 18.0% of total-time
Operation ival-neg, time spent: 1.0ms, 18.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

bsearch72.0ms (2.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
72.0ms
4.07067704974114
4830180790.395928
Results
69.0ms143×0valid
0.0ms0valid
Compiler

Compiled 67 to 64 computations (4.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-exp, time spent: 3.0ms, 52.0% of total-time
Operation ival-div, time spent: 1.0ms, 17.0% of total-time
Operation ival-add, time spent: 1.0ms, 17.0% of total-time
Operation ival-neg, time spent: 1.0ms, 17.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

simplify5.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02994
13894
24094
34194
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 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))))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
Compiler

Compiled 37 to 30 computations (18.9% saved)

soundness133.0ms (4.8%)

Rules
417×log1p-expm1-u
417×expm1-log1p-u
401×add-exp-log
386×add-log-exp
380×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01220
114420
2234320
01138
110634
2123234
Stop Event
node limit
unsound
Compiler

Compiled 35 to 27 computations (22.9% saved)

end0.0ms (0%)

preprocess51.0ms (1.8%)

Remove

(abs x)

Compiler

Compiled 138 to 108 computations (21.7% saved)

Profiling

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