bug366, discussion (missed optimization)

Time bar (total: 4.1s)

analyze93.0ms (2.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
30.8%25%56.2%0.1%0%18.7%0%5
32%25%53.1%0.1%0%21.9%0%6
55.8%37.5%29.7%0.1%0%32.8%0%7
57.8%37.5%27.3%0.1%0%35.1%0%8
74.2%43.7%15.2%0.1%0%41%0%9
75.9%43.7%13.9%0.1%0%42.3%0%10
85.9%46.8%7.7%0.1%0%45.4%0%11
87%46.8%7%0.1%0%46.1%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample982.0ms (24%)

Results
730.0ms8256×0valid
50.0ms664×0invalid
Precisions
Click to see histograms. Total time spent on operations: 303.0ms
ival-mult: 156.0ms (51.4% of total)
ival-sqrt: 75.0ms (24.7% of total)
ival-sub: 51.0ms (16.8% of total)
ival-true: 12.0ms (4% of total)
ival-assert: 9.0ms (3% of total)
Bogosity

preprocess184.0ms (4.5%)

Algorithm
egg-herbie
Rules
1374×fmm-def
973×associate--l+
917×fma-define
765×associate--l-
501×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024253
170253
2153253
3389253
4992253
51845253
63041253
73911253
84725253
95191253
105296253
115342253
126508253
Stop Event
node limit
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b)))))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b)))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a a)))
(sqrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a))))
Symmetry

(abs a)

(abs b)

explain223.0ms (5.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-0-(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
140-0-(-.f64 (*.f64 a a) (*.f64 b b))
00-0-(*.f64 a a)
00-0-a
00-0-b
00-0-(*.f64 b b)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))oflow-rescue1080
(*.f64 b b)overflow14
(-.f64 (*.f64 a a) (*.f64 b b))overflow108
(*.f64 a a)overflow108
sqrt.f64(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))uflow-rescue190
(*.f64 b b)underflow115
(-.f64 (*.f64 a a) (*.f64 b b))underflow19
(*.f64 a a)underflow19
-.f64(-.f64 (*.f64 a a) (*.f64 b b))nan-rescue140
(*.f64 a a)overflow108
(*.f64 b b)overflow14
Confusion
Predicted +Predicted -
+1270
-0129
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12700
-00129
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0129
1113
214
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
166.0ms512×0valid
Compiler

Compiled 70 to 28 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-sqrt: 122.0ms (90.6% of total)
ival-mult: 9.0ms (6.7% of total)
ival-sub: 3.0ms (2.2% of total)
ival-true: 1.0ms (0.7% of total)
ival-assert: 1.0ms (0.7% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
53.4%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify183.0ms (4.5%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-6336
(-.f64 (*.f64 a a) (*.f64 b b))
cost-diff-6336
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 a a)
Rules
696×fma-define
692×distribute-lft-out
597×fmm-def
494×distribute-lft-out--
477×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012100
122100
234100
363100
4141100
5389100
6850100
71718100
83843100
95473100
106329100
116698100
126928100
137042100
147042100
Stop Event
node limit
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
Outputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 a a (*.f64 b (neg.f64 b))))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(*.f64 a a)
a
(*.f64 b b)
b

localize39.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 b b)
accuracy100.0%
(*.f64 a a)
accuracy95.6%
(-.f64 (*.f64 a a) (*.f64 b b))
accuracy53.9%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Results
32.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sqrt: 7.0ms (52.3% of total)
ival-mult: 4.0ms (29.9% of total)
ival-sub: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (*.f64 a a)>
#<alt (*.f64 b b)>
#<alt (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))>
#<alt (-.f64 (*.f64 a a) (*.f64 b b))>
Outputs
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (pow.f64 b #s(literal 2 binary64))>
#<alt (pow.f64 b #s(literal 2 binary64))>
#<alt (pow.f64 b #s(literal 2 binary64))>
#<alt (pow.f64 b #s(literal 2 binary64))>
#<alt (pow.f64 b #s(literal 2 binary64))>
#<alt (pow.f64 b #s(literal 2 binary64))>
#<alt (pow.f64 b #s(literal 2 binary64))>
#<alt (pow.f64 b #s(literal 2 binary64))>
#<alt (pow.f64 b #s(literal 2 binary64))>
#<alt (pow.f64 b #s(literal 2 binary64))>
#<alt (pow.f64 b #s(literal 2 binary64))>
#<alt (pow.f64 b #s(literal 2 binary64))>
#<alt (*.f64 b (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt a>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))))))>
#<alt a>
#<alt (+.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))>
#<alt (+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))>
#<alt (+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))>
#<alt (*.f64 b (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
a
@0
(sqrt (- (* a a) (* b b)))
1.0ms
b
@inf
(sqrt (- (* a a) (* b b)))
1.0ms
b
@0
(sqrt (- (* a a) (* b b)))
1.0ms
a
@inf
(sqrt (- (* a a) (* b b)))
0.0ms
a
@-inf
(sqrt (- (* a a) (* b b)))

rewrite314.0ms (7.7%)

Algorithm
batch-egg-rewrite
Rules
645×log1p-expm1-u
645×expm1-log1p-u
642×prod-diff
592×unpow-prod-down
390×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01274
114774
2190972
Stop Event
node limit
Counts
4 → 358
Calls
Call 1
Inputs
(*.f64 a a)
(*.f64 b b)
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))))))
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(fma.f64 (-.f64 a b) (+.f64 a b) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) b (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 a #s(literal 2 binary64)))

simplify447.0ms (10.9%)

Algorithm
egg-herbie
Rules
701×times-frac
521×fmm-def
303×prod-exp
289×associate-*r*
267×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082312884918617
1189012884918088
2529212884917171
Stop Event
node limit
Counts
430 → 497
Calls
Call 1
Inputs
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) a)
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))))))
a
(+.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))
(+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))
(+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(pow.f64 a #s(literal 2 binary64))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(pow.f64 a #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
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(fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 a b) (+.f64 a b) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) b (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
Outputs
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b)))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 a (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))
(*.f64 a (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))))))
(*.f64 #s(literal -1 binary64) a)
(neg.f64 a)
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 (neg.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))))
(*.f64 (neg.f64 a) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
(*.f64 a (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))))
(*.f64 a (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))))))
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(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) b (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))

eval99.0ms (2.4%)

Compiler

Compiled 10911 to 1480 computations (86.4% saved)

prune86.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4952497
Fresh000
Picked011
Done000
Total4953498
Accuracy
100.0%
Counts
498 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
53.4%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.2%
a
Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify21.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (-.f64 a b))
cost-diff0
(+.f64 a b)
cost-diff0
(sqrt.f64 (+.f64 a b))
cost-diff0
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
Rules
52×fmm-def
41×fma-define
15×sub-neg
14×distribute-rgt-in
12×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013111
117111
222111
330111
440111
563111
698111
7142111
8205111
9250111
10296111
11306111
12308111
Stop Event
saturated
Calls
Call 1
Inputs
a
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sqrt.f64 (-.f64 a b))
(-.f64 a b)
Outputs
a
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sqrt.f64 (-.f64 a b))
(-.f64 a b)

localize37.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 a b)
accuracy100.0%
(sqrt.f64 (+.f64 a b))
accuracy100.0%
(sqrt.f64 (-.f64 a b))
accuracy99.3%
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
Results
29.0ms256×0valid
Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sqrt: 4.0ms (39.9% of total)
ival-add: 2.0ms (19.9% of total)
ival-mult: 2.0ms (19.9% of total)
ival-sub: 1.0ms (10% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.5%)

Counts
4 → 90
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))>
#<alt (sqrt.f64 (+.f64 a b))>
#<alt (+.f64 a b)>
#<alt (sqrt.f64 (-.f64 a b))>
Outputs
#<alt (*.f64 b (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
#<alt a>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 b (*.f64 #s(literal -1 binary64) b)))) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt a>
#<alt (+.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) a)))>
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#<alt (+.f64 a (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) a)) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) a)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) (+.f64 a (*.f64 #s(literal -1 binary64) a)))) (pow.f64 a #s(literal 3 binary64)))))))))>
#<alt (*.f64 b (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))))) b)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))))) b)))))>
#<alt (sqrt.f64 b)>
#<alt (+.f64 (sqrt.f64 b) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))>
#<alt (+.f64 (sqrt.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))))>
#<alt (+.f64 (sqrt.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 a)>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b))))>
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#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 a)>
#<alt (+.f64 (sqrt.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) b)))>
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#<alt (+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) b)))))))>
#<alt (sqrt.f64 b)>
#<alt (*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 b) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt b>
#<alt a>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))>
#<alt a>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))>
#<alt a>
#<alt b>
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#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))>
#<alt b>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))>
#<alt (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 a)>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b))))>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 b #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 a)>
#<alt (+.f64 (sqrt.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) b)))>
#<alt (+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)))))>
#<alt (+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) b)))))))>
#<alt (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))))>
Calls

24 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
(sqrt (+ a b))
2.0ms
b
@-inf
(sqrt (+ a b))
2.0ms
a
@0
(* (sqrt (+ a b)) (sqrt (- a b)))
1.0ms
a
@-inf
(* (sqrt (+ a b)) (sqrt (- a b)))
1.0ms
b
@inf
(* (sqrt (+ a b)) (sqrt (- a b)))

rewrite100.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
765×log1p-expm1-u
765×expm1-log1p-u
534×prod-diff
373×log-prod
267×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01382
116276
2216976
Stop Event
node limit
Counts
4 → 151
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (+.f64 a b))
(+.f64 a b)
(sqrt.f64 (-.f64 a b))
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a b)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 a b)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a b)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (cbrt.f64 (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 a b)) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 a b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (-.f64 a b)))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (hypot.f64 a (sqrt.f64 (*.f64 b (-.f64 b a)))))
(pow.f64 (+.f64 a b) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 a b)))))
(cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 a b))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 a b))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a b))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 a b)) (/.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 a b)))
(*.f64 (+.f64 a b) #s(literal 1 binary64))
(*.f64 (+.f64 a b) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (+.f64 a b)))
(*.f64 #s(literal 1 binary64) (+.f64 a b))
(*.f64 (cbrt.f64 (+.f64 a b)) (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 a b)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 a b))))
(*.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a b)) (cbrt.f64 (+.f64 a b))) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 a b) (pow.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 a b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (neg.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (-.f64 b a))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (-.f64 a b)))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 a b))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 a b)))
(pow.f64 (+.f64 a b) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 a b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 a b)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a b))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (+.f64 #s(literal 1 binary64) (expm1.f64 b))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 a b)))
(log1p.f64 (expm1.f64 (+.f64 a b)))
(exp.f64 (log.f64 (+.f64 a b)))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 a b))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a b))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 a b))) #s(literal 1/3 binary64)))
(fma.f64 a #s(literal 1 binary64) b)
(fma.f64 b #s(literal 1 binary64) a)
(fma.f64 #s(literal 1 binary64) a b)
(fma.f64 #s(literal 1 binary64) b a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) b)
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) b)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) a)
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) a)
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a b)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 a b)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (cbrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (hypot.f64 a (sqrt.f64 (*.f64 b (+.f64 a b)))))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 a b)))))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 b)))
(hypot.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 a b))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 a b))) #s(literal 2 binary64)))

simplify116.0ms (2.8%)

Algorithm
egg-herbie
Rules
571×fma-define
457×*-commutative
446×associate-*r*
402×distribute-lft-in
395×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074611560
120929993
Stop Event
node limit
Counts
241 → 362
Calls
Call 1
Inputs
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64))))) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 b (*.f64 #s(literal -1 binary64) b)))) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 b (*.f64 #s(literal -1 binary64) b)))) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
a
(+.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) a)))
(+.f64 a (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) a)))))
(+.f64 a (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) a)) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) a)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) (+.f64 a (*.f64 #s(literal -1 binary64) a)))) (pow.f64 a #s(literal 3 binary64)))))))))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))))) b)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))))) b)))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))
(+.f64 (sqrt.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))))
(+.f64 (sqrt.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))))))))
(sqrt.f64 a)
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(sqrt.f64 a)
(+.f64 (sqrt.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) b)))
(+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) b)))))))
(sqrt.f64 b)
(*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))))))
(*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))))))
(*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 b) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
b
a
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
a
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))
a
b
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
b
(*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 a)
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 b #s(literal 3 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(sqrt.f64 a)
(+.f64 (sqrt.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) b)))
(+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)))))
(+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) b)))))))
(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a b)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 a b)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a b)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (cbrt.f64 (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 a b)) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 a b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (-.f64 a b)))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (hypot.f64 a (sqrt.f64 (*.f64 b (-.f64 b a)))))
(pow.f64 (+.f64 a b) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 a b)))))
(cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 a b))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 a b))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a b))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 a b)) (/.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 a b)))
(*.f64 (+.f64 a b) #s(literal 1 binary64))
(*.f64 (+.f64 a b) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (+.f64 a b)))
(*.f64 #s(literal 1 binary64) (+.f64 a b))
(*.f64 (cbrt.f64 (+.f64 a b)) (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 a b)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 a b))))
(*.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a b)) (cbrt.f64 (+.f64 a b))) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 a b) (pow.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 a b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (neg.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (-.f64 b a))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (-.f64 a b)))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 a b))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 a b)))
(pow.f64 (+.f64 a b) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 a b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 a b)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a b))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (+.f64 #s(literal 1 binary64) (expm1.f64 b))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 a b)))
(log1p.f64 (expm1.f64 (+.f64 a b)))
(exp.f64 (log.f64 (+.f64 a b)))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 a b))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a b))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 a b))) #s(literal 1/3 binary64)))
(fma.f64 a #s(literal 1 binary64) b)
(fma.f64 b #s(literal 1 binary64) a)
(fma.f64 #s(literal 1 binary64) a b)
(fma.f64 #s(literal 1 binary64) b a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) b)
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) b)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) a)
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) a)
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 a b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a b)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 a b)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (cbrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (hypot.f64 a (sqrt.f64 (*.f64 b (+.f64 a b)))))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 a b)))))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 b)))
(hypot.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 a b))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 a b))) #s(literal 2 binary64)))
Outputs
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a b) (/.f64 (*.f64 #s(literal 0 binary64) b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.f64 a b) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b)) a)))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 a (fma.f64 #s(literal -1/4 binary64) (*.f64 a (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 b #s(literal 3 binary64)))))) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) b) a))))
(+.f64 a (/.f64 #s(literal 0 binary64) a))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) (/.f64 (+.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64))))) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64))))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) (/.f64 (+.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64))))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) a)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
a
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) b) a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (neg.f64 (/.f64 #s(literal 0 binary64) a)) a)
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 b (*.f64 #s(literal -1 binary64) b)))) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
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(sqrt.f64 a)
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b
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a
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a
b
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b
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(+.f64 b a)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 a b))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 a b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b a))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (neg.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (-.f64 b a))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (-.f64 b a))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (neg.f64 (-.f64 a b)))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 a b))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 a b))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 a b))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 a b))
(pow.f64 (+.f64 a b) #s(literal 1 binary64))
(+.f64 b a)
(pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 2 binary64))
(+.f64 b a)
(pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 3 binary64))
(+.f64 b a)
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 b a)
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 b a)
(pow.f64 (/.f64 (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b (-.f64 b a) (pow.f64 a #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 a b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 a b))
(sqrt.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)))
(+.f64 b a)
(log.f64 (exp.f64 (+.f64 a b)))
(+.f64 b a)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a b))))
(+.f64 b a)
(log.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (+.f64 #s(literal 1 binary64) (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)) (+.f64 #s(literal 1 binary64) (expm1.f64 a))))
(cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)))
(+.f64 b a)
(expm1.f64 (log1p.f64 (+.f64 a b)))
(expm1.f64 (log1p.f64 (+.f64 b a)))
(log1p.f64 (expm1.f64 (+.f64 a b)))
(+.f64 b a)
(exp.f64 (log.f64 (+.f64 a b)))
(+.f64 b a)
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 b a)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) #s(literal 2 binary64)))
(+.f64 b a)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 a b))) #s(literal 3 binary64)))
(+.f64 b a)
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a b))) #s(literal 1/2 binary64)))
(+.f64 b a)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 a b))) #s(literal 1/3 binary64)))
(+.f64 b a)
(fma.f64 a #s(literal 1 binary64) b)
(+.f64 b a)
(fma.f64 b #s(literal 1 binary64) a)
(+.f64 b a)
(fma.f64 #s(literal 1 binary64) a b)
(+.f64 b a)
(fma.f64 #s(literal 1 binary64) b a)
(+.f64 b a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) b)
(+.f64 b a)
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) b)
(+.f64 b a)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) a)
(+.f64 b a)
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) a)
(+.f64 b a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) b)
(+.f64 b a)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) a)
(+.f64 b a)
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (-.f64 a b))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a b)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 a b))
(*.f64 (sqrt.f64 (-.f64 a b)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sqrt.f64 (-.f64 a b))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (-.f64 a b))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (cbrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(sqrt.f64 (-.f64 a b))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 a b))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 a b))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (+.f64 b a)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (hypot.f64 a (sqrt.f64 (*.f64 b (+.f64 a b)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (hypot.f64 a (sqrt.f64 (*.f64 b (+.f64 b a)))))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 a b))
(pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 a b))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))
(sqrt.f64 (-.f64 a b))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (-.f64 a b))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (-.f64 a b))
(fabs.f64 (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (-.f64 a b))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 a b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 a b)))))
(sqrt.f64 (-.f64 a b))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(sqrt.f64 (-.f64 a b))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 b)))
(sqrt.f64 (-.f64 a b))
(hypot.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 a))
(sqrt.f64 (-.f64 a b))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 a b))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b)))) #s(literal 3 binary64)))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 a b))) #s(literal 1/3 binary64)))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 a b))) #s(literal 2 binary64)))
(sqrt.f64 (-.f64 a b))

eval134.0ms (3.3%)

Compiler

Compiled 8732 to 1642 computations (81.2% saved)

prune46.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3611362
Fresh000
Picked022
Done011
Total3614365
Accuracy
100.0%
Counts
365 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
99.3%
(*.f64 (sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 a b)))
53.4%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.2%
a
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify130.0ms (3.2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 b a))
cost-diff256
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
cost-diff256
(sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
cost-diff256
(*.f64 (sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 a b)))
Rules
991×fmm-def
443×cube-prod
415×fma-define
326×distribute-lft-neg-in
317×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016185
132185
248182
394140
4146140
5295140
6876140
72524140
84180140
96122140
107053140
117662140
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
a
(+.f64 #s(literal 1 binary64) (/.f64 b a))
#s(literal 1 binary64)
(/.f64 b a)
b
(sqrt.f64 (-.f64 a b))
(-.f64 a b)
Outputs
(*.f64 (sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(sqrt.f64 (fma.f64 a (/.f64 b a) a))
(sqrt.f64 (+.f64 a b))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(fma.f64 a (/.f64 b a) a)
(+.f64 a b)
a
(+.f64 #s(literal 1 binary64) (/.f64 b a))
#s(literal 1 binary64)
(/.f64 b a)
b
(sqrt.f64 (-.f64 a b))
(-.f64 a b)

localize51.0ms (1.2%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
accuracy100.0%
(sqrt.f64 (-.f64 a b))
accuracy100.0%
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
accuracy99.3%
(*.f64 (sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 a b)))
Results
34.0ms256×0valid
Compiler

Compiled 48 to 12 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (30% of total)
ival-sqrt: 4.0ms (30% of total)
ival-div: 2.0ms (15% of total)
ival-sub: 1.0ms (7.5% of total)
ival-add: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.3%)

Counts
4 → 84
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 a b)))>
#<alt (sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 b a))>
Outputs
#<alt (*.f64 b (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
#<alt a>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64))))) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 b (*.f64 #s(literal -1 binary64) b))) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64))))) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 b (*.f64 #s(literal -1 binary64) b))))) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))))) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64))))))) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 b (*.f64 #s(literal -1 binary64) b))))) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt a>
#<alt (+.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))>
#<alt (+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))>
#<alt (+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))>
#<alt (*.f64 b (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))>
#<alt (sqrt.f64 b)>
#<alt (+.f64 (sqrt.f64 b) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))>
#<alt (+.f64 (sqrt.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))))>
#<alt (+.f64 (sqrt.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 a)>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b))))>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)))))>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 a)>
#<alt (+.f64 (sqrt.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) b)))>
#<alt (+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))>
#<alt (+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) b)))))))>
#<alt (sqrt.f64 b)>
#<alt (*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 b) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt b>
#<alt (+.f64 a b)>
#<alt (+.f64 a b)>
#<alt (+.f64 a b)>
#<alt a>
#<alt a>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))>
#<alt a>
#<alt (+.f64 a b)>
#<alt (+.f64 a b)>
#<alt (+.f64 a b)>
#<alt b>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))>
#<alt (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))>
#<alt b>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 b a)>
#<alt (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (/.f64 b a)>
#<alt (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (/.f64 b a)>
#<alt (/.f64 (+.f64 a b) a)>
#<alt (/.f64 (+.f64 a b) a)>
#<alt (/.f64 (+.f64 a b) a)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
a
@-inf
(* (sqrt (* a (+ 1 (/ b a)))) (sqrt (- a b)))
1.0ms
a
@-inf
(sqrt (* a (+ 1 (/ b a))))
1.0ms
a
@0
(* (sqrt (* a (+ 1 (/ b a)))) (sqrt (- a b)))
1.0ms
b
@inf
(* (sqrt (* a (+ 1 (/ b a)))) (sqrt (- a b)))
0.0ms
a
@-inf
(* a (+ 1 (/ b a)))

rewrite119.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
843×prod-diff
705×log1p-expm1-u
705×expm1-log1p-u
452×fma-define
184×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016129
1225129
23127126
Stop Event
node limit
Counts
4 → 151
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 3/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (/.f64 b a) a)))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))) (cbrt.f64 (fma.f64 a (/.f64 b a) a)))
(*.f64 (cbrt.f64 (fma.f64 a (/.f64 b a) a)) (cbrt.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))))
(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (sqrt.f64 a))
(*.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (/.f64 b a) a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 b a) a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 b a) a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 b a) a)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 a (/.f64 b a) a))))
(pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a)))))
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 a (/.f64 b a))))
(hypot.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 a)))
(hypot.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 b a))))
(hypot.f64 (sqrt.f64 (*.f64 a (/.f64 b a))) (sqrt.f64 a))
(hypot.f64 (*.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 a)) (sqrt.f64 a))
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 b a))) (sqrt.f64 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 b a)) (log.f64 a)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))) #s(literal 1 binary64)))
(+.f64 a (*.f64 a (/.f64 b a)))
(+.f64 a (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(+.f64 (*.f64 a (/.f64 b a)) a)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a (/.f64 b a) a))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 b a)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 a (/.f64 b a)) (*.f64 a (/.f64 b a))) (*.f64 a (*.f64 a (/.f64 b a))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 b a)) (*.f64 a (/.f64 b a)))) (-.f64 a (*.f64 a (/.f64 b a))))
(/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))) (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) a) (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a (/.f64 b a) a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a (/.f64 b a) a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a (/.f64 b a) a))))
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 a (/.f64 b a) a)))
(log1p.f64 (expm1.f64 (fma.f64 a (/.f64 b a) a)))
(exp.f64 (+.f64 (log1p.f64 (/.f64 b a)) (log.f64 a)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 b a)) (log.f64 a)) #s(literal 1 binary64)))
(fma.f64 a #s(literal 1 binary64) (*.f64 a (/.f64 b a)))
(fma.f64 a #s(literal 1 binary64) (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 a (/.f64 b a) a)
(fma.f64 #s(literal 1 binary64) a (*.f64 a (/.f64 b a)))
(fma.f64 #s(literal 1 binary64) a (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 a (/.f64 b a)) a)
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) a) a)
(fma.f64 (/.f64 b a) a a)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 b a)) a) a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 a (/.f64 b a)))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (*.f64 a (/.f64 b a)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) #s(literal 1 binary64)) (*.f64 a (/.f64 b a)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) (/.f64 b a)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (/.f64 b a)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) #s(literal 1 binary64)) (*.f64 a (/.f64 b a)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 b a)) a)
(fma.f64 (sqrt.f64 (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 b a)) a) a)
(fma.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) a) a)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a (/.f64 b a))) (cbrt.f64 (*.f64 a (/.f64 b a)))) (cbrt.f64 (*.f64 a (/.f64 b a))) a)
(fma.f64 (sqrt.f64 (*.f64 a (/.f64 b a))) (sqrt.f64 (*.f64 a (/.f64 b a))) a)
(fma.f64 (*.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 a)) (*.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 a)) a)
(fma.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 b a))) (*.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 b a))) a)
(fma.f64 (*.f64 (/.f64 b a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) a)
(fma.f64 (*.f64 (/.f64 b a) (sqrt.f64 a)) (sqrt.f64 a) a)
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b a)) a)
(fma.f64 (*.f64 a (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)) a)
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(exp.f64 (log1p.f64 (/.f64 b a)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (/.f64 (cbrt.f64 b) a) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (*.f64 (cbrt.f64 b) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) a) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 b) #s(literal 1 binary64)) (/.f64 (sqrt.f64 b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (sqrt.f64 b) (cbrt.f64 a)) #s(literal 1 binary64))

simplify142.0ms (3.5%)

Algorithm
egg-herbie
Rules
342×fma-define
315×associate-*r*
312×*-commutative
289×distribute-lft-neg-out
257×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05869520
115517478
256797243
Stop Event
node limit
Counts
235 → 306
Calls
Call 1
Inputs
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))
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a
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(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
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(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))
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(sqrt.f64 a)
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(sqrt.f64 a)
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(+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
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(sqrt.f64 b)
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b
(+.f64 a b)
(+.f64 a b)
(+.f64 a b)
a
a
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))
a
(+.f64 a b)
(+.f64 a b)
(+.f64 a b)
b
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
b
(*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 b a)
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 b a)
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 b a)
(/.f64 (+.f64 a b) a)
(/.f64 (+.f64 a b) a)
(/.f64 (+.f64 a b) a)
#s(literal 1 binary64)
#s(literal 1 binary64)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b))) #s(literal 3 binary64)))
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(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 a (/.f64 b a) a) (-.f64 a b)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a)))) #s(literal 1 binary64))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (/.f64 b a) a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 b a) a)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 b a) a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 b a) a)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 a (/.f64 b a) a))))
(pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a)))))
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 a (/.f64 b a))))
(hypot.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 a)))
(hypot.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 b a))))
(hypot.f64 (sqrt.f64 (*.f64 a (/.f64 b a))) (sqrt.f64 a))
(hypot.f64 (*.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 a)) (sqrt.f64 a))
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 b a))) (sqrt.f64 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 b a)) (log.f64 a)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a))) #s(literal 1 binary64)))
(+.f64 a (*.f64 a (/.f64 b a)))
(+.f64 a (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(+.f64 (*.f64 a (/.f64 b a)) a)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a (/.f64 b a) a))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 b a)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 a (/.f64 b a)) (*.f64 a (/.f64 b a))) (*.f64 a (*.f64 a (/.f64 b a))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 b a)) (*.f64 a (/.f64 b a)))) (-.f64 a (*.f64 a (/.f64 b a))))
(/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))) (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) a) (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 b a) a)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a (/.f64 b a) a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a (/.f64 b a) a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a (/.f64 b a) a))))
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 b a) a) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 a (/.f64 b a) a)))
(log1p.f64 (expm1.f64 (fma.f64 a (/.f64 b a) a)))
(exp.f64 (+.f64 (log1p.f64 (/.f64 b a)) (log.f64 a)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 b a)) (log.f64 a)) #s(literal 1 binary64)))
(fma.f64 a #s(literal 1 binary64) (*.f64 a (/.f64 b a)))
(fma.f64 a #s(literal 1 binary64) (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 a (/.f64 b a) a)
(fma.f64 #s(literal 1 binary64) a (*.f64 a (/.f64 b a)))
(fma.f64 #s(literal 1 binary64) a (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 a (/.f64 b a)) a)
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) a) a)
(fma.f64 (/.f64 b a) a a)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 b a)) a) a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 a (/.f64 b a)))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (*.f64 a (/.f64 b a)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) #s(literal 1 binary64)) (*.f64 a (/.f64 b a)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) (/.f64 b a)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (/.f64 b a)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) #s(literal 1 binary64)) (*.f64 a (/.f64 b a)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) #s(literal 1 binary64)) (*.f64 (*.f64 a (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 b a)) a)
(fma.f64 (sqrt.f64 (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 b a)) a) a)
(fma.f64 (*.f64 a b) (/.f64 #s(literal 1 binary64) a) a)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a (/.f64 b a))) (cbrt.f64 (*.f64 a (/.f64 b a)))) (cbrt.f64 (*.f64 a (/.f64 b a))) a)
(fma.f64 (sqrt.f64 (*.f64 a (/.f64 b a))) (sqrt.f64 (*.f64 a (/.f64 b a))) a)
(fma.f64 (*.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 a)) (*.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 a)) a)
(fma.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 b a))) (*.f64 (sqrt.f64 a) (sqrt.f64 (/.f64 b a))) a)
(fma.f64 (*.f64 (/.f64 b a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) a)
(fma.f64 (*.f64 (/.f64 b a) (sqrt.f64 a)) (sqrt.f64 a) a)
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b a)) a)
(fma.f64 (*.f64 a (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)) a)
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(exp.f64 (log1p.f64 (/.f64 b a)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (/.f64 (cbrt.f64 b) a) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (*.f64 (cbrt.f64 b) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) a) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 b) #s(literal 1 binary64)) (/.f64 (sqrt.f64 b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (sqrt.f64 b) (cbrt.f64 a)) #s(literal 1 binary64))
Outputs
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 a (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a b) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (fma.f64 a (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) a) b) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 a (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a b) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (fma.f64 a (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) a) b) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a))))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))
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(sqrt.f64 a)
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(sqrt.f64 a)
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(sqrt.f64 a)
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(sqrt.f64 b)
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(sqrt.f64 b)
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(+.f64 #s(literal 1 binary64) (/.f64 b a))
(fma.f64 (sqrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 b a)) #s(literal 1 binary64))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(fma.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) a) #s(literal 1 binary64))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 a)) #s(literal 1 binary64))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b #s(literal 1 binary64))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 a)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (sqrt.f64 a)) (sqrt.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 b) a) #s(literal 1 binary64))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (sqrt.f64 a)) (/.f64 (cbrt.f64 b) (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 b) #s(literal 1 binary64)) (/.f64 (sqrt.f64 b) a) #s(literal 1 binary64))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (/.f64 (sqrt.f64 b) (cbrt.f64 a)) #s(literal 1 binary64))

eval56.0ms (1.4%)

Compiler

Compiled 9873 to 1721 computations (82.6% saved)

prune48.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4030403
Fresh000
Picked011
Done033
Total4034407
Accuracy
100.0%
Counts
407 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
99.3%
(*.f64 (sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 a b)))
53.4%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.2%
a
Compiler

Compiled 72 to 42 computations (41.7% saved)

regimes12.0ms (0.3%)

Counts
4 → 1
Calls
Call 1
Inputs
a
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 a b)))
Outputs
(*.f64 (sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 a b)))
Calls

6 calls:

2.0ms
b
2.0ms
a
2.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
2.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
99.3%1a
99.3%1b
99.3%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.3%1(-.f64 (*.f64 a a) (*.f64 b b))
99.3%1(*.f64 a a)
99.3%1(*.f64 b b)
Compiler

Compiled 35 to 21 computations (40% saved)

regimes12.0ms (0.3%)

Counts
3 → 1
Calls
Call 1
Inputs
a
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
Outputs
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
Calls

6 calls:

3.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
2.0ms
b
2.0ms
a
2.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
99.3%1a
99.3%1b
99.3%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.3%1(-.f64 (*.f64 a a) (*.f64 b b))
99.3%1(*.f64 a a)
99.3%1(*.f64 b b)
Compiler

Compiled 35 to 21 computations (40% saved)

regimes9.0ms (0.2%)

Accuracy

Total -29.5b remaining (-6002.2%)

Threshold costs -29.5b (-6002.2%)

Counts
2 → 1
Calls
Call 1
Inputs
a
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Outputs
a
Calls

6 calls:

1.0ms
b
1.0ms
a
1.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
1.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
1.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.2%1(-.f64 (*.f64 a a) (*.f64 b b))
99.2%1(*.f64 a a)
99.2%1(*.f64 b b)
Compiler

Compiled 35 to 21 computations (40% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01997
13197
23597
33797
43897
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
a
Outputs
(*.f64 (sqrt.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
a

soundness334.0ms (8.1%)

Rules
701×times-frac
645×log1p-expm1-u
645×expm1-log1p-u
642×prod-diff
592×unpow-prod-down
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082312884918617
1189012884918088
2529212884917171
01274
114774
2190972
Stop Event
done
node limit
node limit
Compiler

Compiled 96 to 40 computations (58.3% saved)

preprocess40.0ms (1%)

Compiler

Compiled 340 to 216 computations (36.5% saved)

end0.0ms (0%)

Profiling

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