Hyperbolic secant

Time bar (total: 2.6s)

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
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)

sample1.3s (49.7%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 483.0ms
ival-exp: 210.0ms (43.5% of total)
ival-neg: 118.0ms (24.4% of total)
ival-add: 83.0ms (17.2% of total)
ival-div: 59.0ms (12.2% of total)
const: 11.0ms (2.3% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess59.0ms (2.3%)

Algorithm
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
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)

explain281.0ms (10.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-#s(literal 2 binary64)
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-(exp.f64 x)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
41.0ms512×0valid
Compiler

Compiled 68 to 30 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-exp: 7.0ms (38.1% of total)
ival-div: 4.0ms (21.8% of total)
ival-add: 3.0ms (16.3% of total)
ival-neg: 3.0ms (16.3% of total)
const: 1.0ms (5.4% 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)

simplify11.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 4 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))))
Rules
fma-define
exp-diff
exp-sum
1-exp
sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01289
11989
22889
33289
44089
54789
65489
75989
86289
96389
Stop Event
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)

localize28.0ms (1.1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(exp.f64 (neg.f64 x))
accuracy100.0%
(exp.f64 x)
Results
19.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 4.0ms (46.1% of total)
ival-div: 2.0ms (23% of total)
ival-add: 1.0ms (11.5% of total)
ival-neg: 1.0ms (11.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.3%)

Counts
5 → 40
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))>
#<alt (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))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
Calls

15 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
@inf
(+ (exp x) (exp (neg x)))
0.0ms
x
@inf
(neg x)

rewrite170.0ms (6.6%)

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
012100
1144100
22343100
Stop Event
unsound
Counts
5 → 50
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))
(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)
#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)

simplify129.0ms (5%)

Algorithm
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
073836
1174763
2437757
31194757
42362757
53053757
64056757
75228757
86615757
Stop Event
node limit
Counts
90 → 55
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))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.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)
#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))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(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)
#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)

eval13.0ms (0.5%)

Compiler

Compiled 591 to 187 computations (68.4% saved)

prune6.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New52355
Fresh000
Picked101
Done000
Total53356
Accuracy
100.0%
Counts
56 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
46.5%
#s(literal 1 binary64)
56.5%
#s(literal 0 binary64)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 2 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)))
Rules
1-exp
fma-undefine
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
11843
21943
Stop Event
saturated
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.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
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.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

localize25.0ms (1%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x x #s(literal 2 binary64))
accuracy99.5%
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
Results
17.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-fma: 6.0ms (66.9% of total)
ival-div: 2.0ms (22.3% of total)
const: 1.0ms (11.2% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

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

6 calls:

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

rewrite72.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
661×frac-times
315×log1p-expm1-u
315×expm1-log1p-u
303×add-exp-log
294×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
17436
286936
Stop Event
node limit
Counts
2 → 103
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 5 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)))
(fabs.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #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))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (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))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (neg.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))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 5/2 binary64))) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 5 binary64))) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 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 (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))
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (fma.f64 x x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64)))))
(neg.f64 (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))))
(cbrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x x #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)))

simplify119.0ms (4.6%)

Algorithm
egg-herbie
Rules
615×fma-define
556×fma-neg
498×times-frac
473×distribute-lft-in
455×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02883881
15053765
214923706
377783706
Stop Event
node limit
Counts
127 → 160
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 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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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 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 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 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 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 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 5 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)))
(fabs.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #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))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (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))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (neg.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))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 5/2 binary64))) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 5 binary64))) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 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 (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))
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (fma.f64 x x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64)))))
(neg.f64 (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))))
(cbrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x x #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 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 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)) (fma.f64 #s(literal 1/4 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 1/4 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 1/4 binary64) (*.f64 #s(literal -1/8 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 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/8 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 -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.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)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.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)))
(/.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) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -16 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 4 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)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.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)))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.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)))
(/.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) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -16 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 4 binary64))))
#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) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x 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))
(pow.f64 x #s(literal 2 binary64))
(*.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))))))
(fma.f64 x x #s(literal 2 binary64))
(*.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))))))
(fma.f64 x x #s(literal 2 binary64))
(*.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))))))
(fma.f64 x x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x x #s(literal 2 binary64))
(*.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))))))
(fma.f64 x x #s(literal 2 binary64))
(*.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))))))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) (log.f64 (E.f64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
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(fma.f64 x x #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 5/2 binary64))) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 5/2 binary64))) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 5 binary64))) (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64))) #s(literal 5 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 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 x #s(literal 6 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 x #s(literal 6 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 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 4 binary64) (fma.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)) (fma.f64 x x #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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (E.f64) (log.f64 (fma.f64 x x #s(literal 2 binary64))))
(fma.f64 x x #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (fma.f64 x x #s(literal 2 binary64)))))
(neg.f64 (fma.f64 x x #s(literal 2 binary64)))
(+.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(fabs.f64 (fma.f64 x x #s(literal 2 binary64)))
(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))
(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))))
(fma.f64 x 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 (cbrt.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))

eval20.0ms (0.8%)

Compiler

Compiled 2105 to 470 computations (77.7% saved)

prune20.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1600160
Fresh000
Picked033
Done000
Total1603163
Accuracy
100.0%
Counts
163 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
46.5%
#s(literal 1 binary64)
56.5%
#s(literal 0 binary64)
Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes9.0ms (0.3%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x 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:

5.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
x
2.0ms
(+.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)

regimes2.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 0 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (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
56.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch18.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
4.370831831775757e-5
53570.74332479188
Results
12.0ms144×0valid
Compiler

Compiled 112 to 82 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 5.0ms (63.2% of total)
ival-div: 1.0ms (12.6% of total)
ival-add: 1.0ms (12.6% of total)
ival-neg: 1.0ms (12.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
4.370831831775757e-5
53570.74332479188
Results
9.0ms144×0valid
Compiler

Compiled 67 to 64 computations (4.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 3.0ms (54.9% of total)
ival-div: 1.0ms (18.3% of total)
ival-add: 1.0ms (18.3% of total)
ival-neg: 1.0ms (18.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02480
13280
23480
33580
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(if (<=.f64 x #s(literal 360 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) #s(literal 1 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 360 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 360 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness239.0ms (9.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
073836
1174763
2437757
31194757
42362757
53053757
64056757
75228757
86615757
012100
1144100
22343100
Stop Event
done
unsound
node limit
Compiler

Compiled 55 to 27 computations (50.9% saved)

preprocess35.0ms (1.4%)

Remove

(abs x)

Compiler

Compiled 108 to 72 computations (33.3% saved)

end0.0ms (0%)

Profiling

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