bug366, discussion (missed optimization)

Time bar (total: 2.5s)

analyze39.0ms (1.5%)

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 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (44.5% of total)
ival-sqrt: 7.0ms (39% of total)
ival-sub: 3.0ms (16.7% of total)
const: 0.0ms (0% of total)

sample970.0ms (38.2%)

Results
661.0ms8256×0valid
39.0ms629×0invalid
Precisions
Click to see histograms. Total time spent on operations: 278.0ms
ival-mult: 132.0ms (47.5% of total)
ival-sqrt: 80.0ms (28.8% of total)
ival-sub: 53.0ms (19.1% of total)
const: 9.0ms (3.2% of total)
backward-pass: 4.0ms (1.4% of total)
Bogosity

preprocess174.0ms (6.9%)

Algorithm
egg-herbie
Rules
1374×fma-neg
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
63043253
73922253
84746253
95212253
105318253
115364253
126530253
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)

explain79.0ms (3.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1430-0-(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
190-0-(-.f64 (*.f64 a a) (*.f64 b b))
00-0-(*.f64 b b)
00-0-b
00-0-a
00-0-(*.f64 a a)
Results
50.0ms512×256valid
Compiler

Compiled 62 to 20 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (51.8% of total)
ival-sqrt: 4.0ms (25.9% of total)
ival-sub: 3.0ms (19.4% of total)
const: 0.0ms (0% 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
47.4%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize34.0ms (1.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
94.1%
(-.f64 (*.f64 a a) (*.f64 b b))
48.0%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Results
24.0ms256×256valid
Compiler

Compiled 26 to 7 computations (73.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (51.4% of total)
ival-sqrt: 2.0ms (25.7% of total)
ival-sub: 1.0ms (12.9% of total)
const: 0.0ms (0% of total)

series8.0ms (0.3%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))>
#<alt (-.f64 (*.f64 a a) (*.f64 b b))>
Outputs
#<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

12 calls:

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

rewrite268.0ms (10.6%)

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
01254
114754
2191052
Stop Event
node limit
Counts
2 → 314
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
Outputs
(+.f64 #s(literal 0 binary64) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))) (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (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 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (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 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
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(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)))

simplify232.0ms (9.1%)

Algorithm
egg-herbie
Rules
694×times-frac
354×fma-neg
276×associate-*r*
264×unswap-sqr
263×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074718157
1170217248
2473114957
Stop Event
node limit
Counts
362 → 457
Calls
Call 1
Inputs
(*.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)))
(*.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 0 binary64) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))) (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (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 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (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 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 a b) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (pow.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))) #s(literal 1/3 binary64)) (pow.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))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.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 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.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 (pow.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) 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 (pow.f64 (cbrt.f64 a) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (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 (pow.f64 (cbrt.f64 a) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (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 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.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 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 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 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 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 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 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 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 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 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 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 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 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 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a 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 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 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 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 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 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 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 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 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 b) (-.f64 a b) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(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 a b) (+.f64 a b) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(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
(*.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 (/.f64 (pow.f64 a #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) (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)))))))
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(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)))

eval264.0ms (10.4%)

Compiler

Compiled 10503 to 7398 computations (29.6% saved)

prune69.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New4552457
Fresh000
Picked101
Done000
Total4562458
Accuracy
100.0%
Counts
458 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
99.6%
a
Compiler

Compiled 14 to 9 computations (35.7% saved)

localize36.0ms (1.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 a b))
99.2%
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
Results
27.0ms256×256valid
Compiler

Compiled 29 to 8 computations (72.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sqrt: 4.0ms (42.6% of total)
ival-add: 2.0ms (21.3% of total)
ival-mult: 2.0ms (21.3% of total)
ival-sub: 1.0ms (10.6% of total)
const: 0.0ms (0% of total)

series18.0ms (0.7%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))>
#<alt (sqrt.f64 (-.f64 a b))>
Outputs
#<alt a>
#<alt (+.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) a)))>
#<alt (+.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)))))>
#<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 (*.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 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 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 (*.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 (*.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

12 calls:

TimeVariablePointExpression
4.0ms
a
@-inf
(sqrt (- a b))
2.0ms
b
@inf
(sqrt (- a b))
1.0ms
b
@inf
(* (sqrt (+ b a)) (sqrt (- a b)))
1.0ms
a
@0
(sqrt (- a b))
1.0ms
a
@-inf
(* (sqrt (+ b a)) (sqrt (- a b)))

rewrite94.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
820×log1p-expm1-u
820×expm1-log1p-u
740×prod-diff
383×log-prod
343×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01352
116646
2230546
Stop Event
node limit
Counts
2 → 49
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.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 b 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 (+.f64 b a) #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)))
(+.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 #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 #s(literal 1 binary64) #s(literal 1/2 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 (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 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 (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)))

simplify95.0ms (3.8%)

Algorithm
egg-herbie
Rules
715×distribute-lft-in
367×fma-define
311×*-commutative
286×associate-*r*
247×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04305627
112814767
254974254
Stop Event
node limit
Counts
97 → 176
Calls
Call 1
Inputs
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)))))
(*.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)))))
(*.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 b 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 (+.f64 b a) #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)))
(+.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 #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 #s(literal 1 binary64) #s(literal 1/2 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 (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 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 (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)))
Outputs
a
(+.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) a)) a))))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 2 binary64)))) a) (/.f64 #s(literal 0 binary64) a)) a)
(+.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) 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 a (*.f64 b (fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) a)) a))))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 2 binary64)))) a) (/.f64 #s(literal 0 binary64) a)) a)
(+.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 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 (+.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 #s(literal 0 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 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 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
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a
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a
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a
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a
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(sqrt.f64 a)
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(*.f64 b (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.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))))) (fma.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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))))
(*.f64 b (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))))
(*.f64 b (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (pow.f64 a #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 b)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 b))
(*.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 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))
(*.f64 b (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))))
(*.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 (neg.f64 b) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))) (neg.f64 b))
(*.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 (neg.f64 b) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))) (neg.f64 b))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 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 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))) (cbrt.f64 (exp.f64 (hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 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 #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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 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))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (hypot.f64 a (*.f64 b (sqrt.f64 #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))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #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))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 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))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 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))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 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))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 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)))))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 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)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b 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 (-.f64 a b) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (+.f64 b a) #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))))))
(expm1.f64 (log1p.f64 (hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 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)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.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 #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 (sqrt.f64 (-.f64 a b))) (cbrt.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 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 a b)))
(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 b a)))
(/.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 a (*.f64 b (sqrt.f64 #s(literal -1 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 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)))))
(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))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(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)))
(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))

eval86.0ms (3.4%)

Compiler

Compiled 4628 to 3267 computations (29.4% saved)

prune27.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh000
Picked022
Done000
Total1762178
Accuracy
100.0%
Counts
178 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
99.6%
a
Compiler

Compiled 34 to 20 computations (41.2% saved)

regimes8.0ms (0.3%)

Accuracy

Total -33.6b remaining (-12346.1%)

Threshold costs -33.6b (-12346.1%)

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

6 calls:

1.0ms
a
1.0ms
b
1.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
1.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
1.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.6%1(-.f64 (*.f64 a a) (*.f64 b b))
99.6%1(*.f64 a a)
99.6%1(*.f64 b b)
Compiler

Compiled 35 to 21 computations (40% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
Stop Event
saturated
Calls
Call 1
Inputs
a
Outputs
a

soundness0.0ms (0%)

Stop Event
done
Compiler

Compiled 3 to 2 computations (33.3% saved)

preprocess35.0ms (1.4%)

Remove

(abs b)

Compiler

Compiled 92 to 58 computations (37% saved)

end0.0ms (0%)

Profiling

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