bug366, discussion (missed optimization)

Time bar (total: 3.0s)

analyze39.0ms (1.3%)

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

Compiled 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 10.0ms (61.8% of total)
ival-sqrt: 4.0ms (24.7% of total)
ival-sub: 3.0ms (18.5% of total)
const: 0.0ms (0% of total)

sample951.0ms (32%)

Results
643.0ms8256×0valid
38.0ms654×0invalid
Precisions
Click to see histograms. Total time spent on operations: 275.0ms
ival-mult: 132.0ms (47.9% of total)
ival-sqrt: 74.0ms (26.9% of total)
ival-sub: 57.0ms (20.7% of total)
const: 9.0ms (3.3% of total)
backward-pass: 4.0ms (1.5% of total)
Bogosity

preprocess190.0ms (6.4%)

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)))
Symmetry

(abs a)

(abs b)

explain72.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1170-0-(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
160-0-(-.f64 (*.f64 a a) (*.f64 b b))
00-0-(*.f64 b b)
00-0-b
00-0-a
00-0-(*.f64 a a)
Results
47.0ms512×256valid
Compiler

Compiled 62 to 20 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (46.5% of total)
ival-sqrt: 4.0ms (26.6% of total)
ival-sub: 3.0ms (19.9% 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
57.0%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize32.0ms (1.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
95.0%
(-.f64 (*.f64 a a) (*.f64 b b))
57.5%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Results
22.0ms256×256valid
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 (52.9% of total)
ival-sqrt: 2.0ms (26.4% of total)
ival-sub: 1.0ms (13.2% of total)
const: 0.0ms (0% of total)

series7.0ms (0.2%)

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

rewrite256.0ms (8.6%)

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 → 320
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 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))) (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(*.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))
(*.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #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 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) #s(literal 4 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))
(*.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 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))) #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 (-.f64 #s(literal 0 binary64) (*.f64 b b))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)))
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(fma.f64 (pow.f64 a #s(literal 1/2 binary64)) (*.f64 (pow.f64 a #s(literal 1/2 binary64)) a) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 a #s(literal 1/2 binary64)) (*.f64 (pow.f64 a #s(literal 1/2 binary64)) a) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (pow.f64 a #s(literal 1/2 binary64)) (*.f64 (pow.f64 a #s(literal 1/2 binary64)) a) (neg.f64 (-.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))))
(fma.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (+.f64 (*.f64 a a) (*.f64 b b))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))
(fma.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (+.f64 (*.f64 a a) (*.f64 b b))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(fma.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (+.f64 (*.f64 a a) (*.f64 b b))))) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)))
(fma.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (+.f64 (*.f64 a a) (*.f64 b b))))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (+.f64 (*.f64 a a) (*.f64 b b))))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (*.f64 (+.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))
(fma.f64 (*.f64 (+.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(fma.f64 (*.f64 (+.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)))
(fma.f64 (*.f64 (+.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (+.f64 a b) (-.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))
(fma.f64 (+.f64 a b) (-.f64 a b) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(fma.f64 (+.f64 a b) (-.f64 a b) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)))
(fma.f64 (+.f64 a b) (-.f64 a b) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (+.f64 a b) (-.f64 a b) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)))
(fma.f64 (-.f64 a b) (+.f64 a b) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a a))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))) (cbrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))) (cbrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))) (-.f64 (*.f64 a a) (*.f64 b b)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (*.f64 a (pow.f64 a #s(literal 1/2 binary64))) (pow.f64 a #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(fma.f64 (*.f64 a (pow.f64 a #s(literal 1/2 binary64))) (pow.f64 a #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (pow.f64 a #s(literal 1/2 binary64))) (pow.f64 a #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (*.f64 a (pow.f64 a #s(literal 1/2 binary64))) (pow.f64 a #s(literal 1/2 binary64)) (neg.f64 (-.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a a))
(fma.f64 (sqrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))) (sqrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))) (-.f64 (*.f64 a a) (*.f64 b b)))
(fma.f64 #s(literal -1 binary64) (*.f64 b b) (*.f64 a a))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (cbrt.f64 (*.f64 b b)) (*.f64 a a))
(fma.f64 (*.f64 a (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(fma.f64 (*.f64 a (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (*.f64 a (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (neg.f64 (-.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)) b (*.f64 a a))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (*.f64 a a))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (pow.f64 b #s(literal 1/2 binary64))) (pow.f64 b #s(literal 1/2 binary64)) (*.f64 a a))

simplify174.0ms (5.8%)

Algorithm
egg-herbie
Rules
637×fma-neg
349×associate-*r*
328×associate-*l*
257×fma-define
241×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07684294990523
118644294986625
261154294984761
Stop Event
node limit
Counts
368 → 422
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))))
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(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)) b (*.f64 a a))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (*.f64 a a))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (pow.f64 b #s(literal 1/2 binary64))) (pow.f64 b #s(literal 1/2 binary64)) (*.f64 a a))
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 (/.f64 a b) (/.f64 a (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))))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a a) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 a a) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a a) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
(+.f64 a (*.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 a a)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b (*.f64 a a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) a)
(neg.f64 a)
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b (*.f64 a a))) #s(literal 1 binary64)) (neg.f64 a))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))))
(-.f64 (neg.f64 a) (*.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (*.f64 a a)))))
(*.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)))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b (*.f64 a a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))) (neg.f64 a))
a
(+.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b a)) 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)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 b (/.f64 b (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b b) 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)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b b) 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 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (*.f64 b b))) (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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 b #s(literal 4 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 b (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 b #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b))
(*.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 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (*.f64 b b))) (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 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 b #s(literal 4 binary64))))))) (neg.f64 b))
(*.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 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 b #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(*.f64 b (neg.f64 b))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (*.f64 a a) (*.f64 b b))
(pow.f64 a #s(literal 2 binary64))
(*.f64 a a)
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 a a))
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 a a))
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 a a))
(pow.f64 a #s(literal 2 binary64))
(*.f64 a a)
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 a a))
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 a a))
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (*.f64 a a)))) (*.f64 a a))
(pow.f64 a #s(literal 2 binary64))
(*.f64 a a)
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(*.f64 b (neg.f64 b))
(*.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 (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) b) b)
(*.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 (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) b) b)
(*.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 (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) b) b)
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(*.f64 b (neg.f64 b))
(*.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 (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) b) b)
(*.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 (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) b) b)
(*.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 (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) b) b)
(+.f64 #s(literal 0 binary64) (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))
(hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))) (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))) (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b))))))))
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(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (*.f64 (+.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (+.f64 a b) (-.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (+.f64 a b) (-.f64 a b) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (+.f64 a b) (-.f64 a b) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (pow.f64 b #s(literal 4 binary64))) (*.f64 a a))
(fma.f64 (+.f64 a b) (-.f64 a b) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64)))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (+.f64 a b) (-.f64 a b) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (pow.f64 b #s(literal 4 binary64))) (*.f64 a a))
(fma.f64 (-.f64 a b) (+.f64 a b) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64)))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))) (cbrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))) (cbrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))) (-.f64 (*.f64 a a) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (pow.f64 b #s(literal 4 binary64))) (*.f64 a a))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64)))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (*.f64 a (pow.f64 a #s(literal 1/2 binary64))) (pow.f64 a #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (*.f64 a (pow.f64 a #s(literal 1/2 binary64))) (pow.f64 a #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (*.f64 a (pow.f64 a #s(literal 1/2 binary64))) (pow.f64 a #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (*.f64 a (pow.f64 a #s(literal 1/2 binary64))) (pow.f64 a #s(literal 1/2 binary64)) (neg.f64 (-.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (sqrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))) (sqrt.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))) (-.f64 (*.f64 a a) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 #s(literal -1 binary64) (*.f64 b b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (cbrt.f64 (*.f64 b b)) (*.f64 a a))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (pow.f64 b #s(literal 4 binary64))) (*.f64 a a))
(fma.f64 (*.f64 a (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(-.f64 (*.f64 (cbrt.f64 (*.f64 a a)) (*.f64 a (cbrt.f64 a))) (*.f64 b b))
(fma.f64 (*.f64 a (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(-.f64 (*.f64 (cbrt.f64 (*.f64 a a)) (*.f64 a (cbrt.f64 a))) (*.f64 b b))
(fma.f64 (*.f64 a (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(-.f64 (*.f64 (cbrt.f64 (*.f64 a a)) (*.f64 a (cbrt.f64 a))) (*.f64 b b))
(fma.f64 (*.f64 a (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (neg.f64 (-.f64 (*.f64 b b) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))))
(-.f64 (*.f64 (cbrt.f64 (*.f64 a a)) (*.f64 a (cbrt.f64 a))) (*.f64 b b))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)))
(fma.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(fma.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 b b))) (cbrt.f64 (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)))
(fma.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (-.f64 (*.f64 b b) (*.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)) b (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b (*.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 b))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (pow.f64 b #s(literal 1/2 binary64))) (pow.f64 b #s(literal 1/2 binary64)) (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 b b))

eval240.0ms (8.1%)

Compiler

Compiled 19317 to 7135 computations (63.1% saved)

prune69.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New7873790
Fresh000
Picked011
Done000
Total7874791
Accuracy
100.0%
Counts
791 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b a)) a)
99.3%
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
57.0%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.6%
a
Compiler

Compiled 34 to 21 computations (38.2% saved)

localize61.0ms (2.1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 b (/.f64 b a))
100.0%
(sqrt.f64 (+.f64 b a))
100.0%
(sqrt.f64 (-.f64 a b))
99.3%
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
Results
46.0ms256×256valid
Compiler

Compiled 48 to 13 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 5.0ms (24.8% of total)
composed: 4.0ms (19.9% of total)
ival-sqrt: 4.0ms (19.9% of total)
ival-add: 3.0ms (14.9% of total)
ival-div: 2.0ms (9.9% of total)
ival-sub: 1.0ms (5% of total)
const: 0.0ms (0% of total)

series28.0ms (0.9%)

Counts
4 → 96
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))>
#<alt (sqrt.f64 (-.f64 a b))>
#<alt (sqrt.f64 (+.f64 b a))>
#<alt (*.f64 b (/.f64 b a))>
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))))))))>
#<alt (sqrt.f64 a)>
#<alt (+.f64 (sqrt.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) b)))>
#<alt (+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))>
#<alt (+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) b)))))))>
#<alt (sqrt.f64 b)>
#<alt (*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 b) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 b)>
#<alt (+.f64 (sqrt.f64 b) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))>
#<alt (+.f64 (sqrt.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))))>
#<alt (+.f64 (sqrt.f64 b) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 a)>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b))))>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)))))>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
#<alt (/.f64 (pow.f64 b #s(literal 2 binary64)) a)>
Calls

24 calls:

TimeVariablePointExpression
6.0ms
b
@-inf
(sqrt (+ b a))
2.0ms
b
@inf
(sqrt (- a b))
1.0ms
b
@inf
(* (sqrt (+ b a)) (sqrt (- a b)))
1.0ms
a
@-inf
(sqrt (- a b))
1.0ms
a
@0
(sqrt (- a b))

rewrite166.0ms (5.6%)

Algorithm
batch-egg-rewrite
Rules
1079×log1p-expm1-u
1079×expm1-log1p-u
758×prod-diff
96×add-cube-cbrt
95×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01591
121282
2300982
Stop Event
node limit
Counts
4 → 127
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (-.f64 a b))
(sqrt.f64 (+.f64 b a))
(*.f64 b (/.f64 b a))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 b a)))
(*.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (-.f64 a b)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 b a))))
(*.f64 (cbrt.f64 (+.f64 b a)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a))) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 b a))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 b a)) (cbrt.f64 (-.f64 a b))) (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64))) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 b a))) (cbrt.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64)) (-.f64 (*.f64 a a) (*.f64 b b))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64)) (-.f64 (*.f64 a a) (*.f64 b b))))
(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 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))) (cbrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))))
(*.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)) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 a b) (-.f64 a b))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 a b) (-.f64 a b)))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 b a)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (sqrt.f64 (+.f64 (*.f64 a a) (*.f64 b (+.f64 b a)))))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))) #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))
(sqrt.f64 (-.f64 a b))
(fabs.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 a b))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 b a)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 b a)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a))) (cbrt.f64 (+.f64 b a)))
(*.f64 (cbrt.f64 (+.f64 b a)) (cbrt.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 b a)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 b a) (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 b a) (+.f64 b a)))) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a a))) (sqrt.f64 (-.f64 b a)))
(pow.f64 (+.f64 b a) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 b a))
(fabs.f64 (sqrt.f64 (+.f64 b a)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 b a)))))
(cbrt.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 b a))))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 b a))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 b a))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 b b) a))) #s(literal 1 binary64))
(*.f64 b (/.f64 b a))
(*.f64 (/.f64 b a) b)
(*.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) a))
(*.f64 (cbrt.f64 (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (cbrt.f64 (/.f64 b a)) b))
(*.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) (cbrt.f64 (*.f64 (/.f64 b a) (*.f64 b (/.f64 (*.f64 b b) a)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 b a) (*.f64 b (/.f64 (*.f64 b b) a)))) (cbrt.f64 (/.f64 (*.f64 b b) a)))
(*.f64 (cbrt.f64 (*.f64 b b)) (*.f64 (cbrt.f64 b) (/.f64 b a)))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (sqrt.f64 (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 b a)) b))
(*.f64 (/.f64 b (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))
(*.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 b a)))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 b a))
(*.f64 (/.f64 b (cbrt.f64 (*.f64 a a))) (/.f64 b (cbrt.f64 a)))
(*.f64 (*.f64 b (cbrt.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) (cbrt.f64 (/.f64 b a)))
(*.f64 (*.f64 b (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)))
(*.f64 (*.f64 (/.f64 b a) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b))
(*.f64 (*.f64 (/.f64 b a) (sqrt.f64 b)) (sqrt.f64 b))
(/.f64 b (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 (*.f64 b b) a)
(/.f64 (neg.f64 (*.f64 b b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 b (neg.f64 b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (neg.f64 b) b) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) a)
(/.f64 (/.f64 (*.f64 b b) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))
(/.f64 (/.f64 (*.f64 b b) (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 b b) a) (*.f64 (/.f64 b a) (*.f64 b (/.f64 (*.f64 b b) a)))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 b (sqrt.f64 a)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 b a) (*.f64 b (/.f64 (*.f64 b b) a))))
(log.f64 (exp.f64 (/.f64 (*.f64 b b) a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 b b) a))))
(cbrt.f64 (*.f64 (/.f64 (*.f64 b b) a) (*.f64 (/.f64 b a) (*.f64 b (/.f64 (*.f64 b b) a)))))
(cbrt.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 b (*.f64 b b))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 b b) a)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 b b) a)))
(exp.f64 (log.f64 (/.f64 (*.f64 b b) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)))

simplify90.0ms (3%)

Algorithm
egg-herbie
Rules
548×fma-define
491×associate-*r*
453×*-commutative
426×associate-*l*
349×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067111239
119599556
Stop Event
node limit
Counts
223 → 272
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)))))))))
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a
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(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
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(sqrt.f64 a)
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(sqrt.f64 a)
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(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
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(sqrt.f64 a)
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(+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
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(sqrt.f64 b)
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(/.f64 (*.f64 (neg.f64 b) b) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) a)
(/.f64 (/.f64 (*.f64 b b) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))
(/.f64 (/.f64 (*.f64 b b) (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 b b) a) (*.f64 (/.f64 b a) (*.f64 b (/.f64 (*.f64 b b) a)))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 b (sqrt.f64 a)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 b a) (*.f64 b (/.f64 (*.f64 b b) a))))
(log.f64 (exp.f64 (/.f64 (*.f64 b b) a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 b b) a))))
(cbrt.f64 (*.f64 (/.f64 (*.f64 b b) a) (*.f64 (/.f64 b a) (*.f64 b (/.f64 (*.f64 b b) a)))))
(cbrt.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 b (*.f64 b b))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 b b) a)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 b b) a)))
(exp.f64 (log.f64 (/.f64 (*.f64 b b) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) a)) #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)))
(+.f64 a (/.f64 #s(literal 0 binary64) 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)))))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (/.f64 #s(literal 0 binary64) (*.f64 a a))) a) (/.f64 #s(literal 0 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)))))))))
(fma.f64 b (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (/.f64 #s(literal 0 binary64) (*.f64 a a))) a) (/.f64 #s(literal 0 binary64) a)) (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 a a)) #s(literal 0 binary64)) (pow.f64 a #s(literal 3 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)))))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.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)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (*.f64 b (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 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b))
(*.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))))))))
(neg.f64 (fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 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 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 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) b)) (neg.f64 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 (neg.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) b)) 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))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 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))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (*.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))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (*.f64 b b))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 b #s(literal 3 binary64)))))) (/.f64 #s(literal 0 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 0 binary64) a))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))
(+.f64 a (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))) (/.f64 #s(literal 0 binary64) a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64))))) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64))))))))
(*.f64 a (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))) (/.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 0 binary64) a) (*.f64 a a)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
a
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (/.f64 #s(literal 0 binary64) a)) a)
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 b (*.f64 #s(literal -1 binary64) b)))) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) a) #s(literal 0 binary64)) a)) (neg.f64 a))
(*.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 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) a)) (neg.f64 a)) a)) (neg.f64 a))
(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.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) b)))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b)))
(+.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))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b)))
(+.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))))
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.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 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b)))
(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 (fma.f64 #s(literal -1/2 binary64) (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(*.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)))))))
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(/.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (sqrt.f64 (+.f64 (*.f64 a a) (*.f64 b (+.f64 b a)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 a a (*.f64 b (+.f64 a b)))))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 a b))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 a b))
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))) #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))
(sqrt.f64 (-.f64 a b))
(fabs.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 a b))
(log.f64 (exp.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 a b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))))
(sqrt.f64 (-.f64 a b))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.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 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 a b))) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 a b))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 b a)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 a b))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 b a)))
(sqrt.f64 (+.f64 a b))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a))) (cbrt.f64 (+.f64 b a)))
(*.f64 (cbrt.f64 (+.f64 a b)) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (cbrt.f64 (+.f64 b a)) (cbrt.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (cbrt.f64 (+.f64 a b)) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (pow.f64 (+.f64 b a) #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 b a)))
(sqrt.f64 (+.f64 a b))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 b a) (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a b) (+.f64 a b)))) (sqrt.f64 (cbrt.f64 (+.f64 a b))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 b a) (+.f64 b a)))) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a b) (+.f64 a b)))) (sqrt.f64 (cbrt.f64 (+.f64 a b))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a a))) (sqrt.f64 (-.f64 b a)))
(pow.f64 (+.f64 b a) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 a b))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 a b))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a))) #s(literal 3 binary64))
(sqrt.f64 (+.f64 a b))
(pow.f64 (pow.f64 (+.f64 b a) #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 b a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 a b))
(sqrt.f64 (+.f64 b a))
(sqrt.f64 (+.f64 a b))
(fabs.f64 (sqrt.f64 (+.f64 b a)))
(sqrt.f64 (+.f64 a b))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))
(sqrt.f64 (+.f64 a b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 b a)))))
(sqrt.f64 (+.f64 a b))
(cbrt.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 b a))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt.f64 (+.f64 a b))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(sqrt.f64 (+.f64 a b))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 b a))))
(sqrt.f64 (+.f64 a b))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 b a))))
(sqrt.f64 (+.f64 a b))
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 a b))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 b a))) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 a b))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 b b) a))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 b b) a)))
(*.f64 b (/.f64 b a))
(/.f64 (*.f64 b b) a)
(*.f64 (/.f64 b a) b)
(/.f64 (*.f64 b b) a)
(*.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(/.f64 (*.f64 b b) a)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) a))
(/.f64 (*.f64 b b) a)
(*.f64 (cbrt.f64 (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 (cbrt.f64 (/.f64 b a)) b))
(*.f64 b (*.f64 (cbrt.f64 (*.f64 b (/.f64 b (*.f64 a a)))) (cbrt.f64 (/.f64 b a))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) (cbrt.f64 (*.f64 (/.f64 b a) (*.f64 b (/.f64 (*.f64 b b) a)))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 b a) (*.f64 b (/.f64 (*.f64 b b) a)))) (cbrt.f64 (/.f64 (*.f64 b b) a)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 b b)) (*.f64 (cbrt.f64 b) (/.f64 b a)))
(*.f64 (/.f64 b a) (*.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 b)))
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 b b) a)
(*.f64 (sqrt.f64 (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 b a)) b))
(/.f64 (*.f64 b b) a)
(*.f64 (/.f64 b (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))
(/.f64 (*.f64 b b) a)
(*.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 b a)))
(/.f64 (*.f64 b b) a)
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 b a))
(/.f64 (*.f64 b b) a)
(*.f64 (/.f64 b (cbrt.f64 (*.f64 a a))) (/.f64 b (cbrt.f64 a)))
(*.f64 b (/.f64 (/.f64 b (cbrt.f64 a)) (cbrt.f64 (*.f64 a a))))
(*.f64 (*.f64 b (cbrt.f64 (/.f64 (*.f64 b b) (*.f64 a a)))) (cbrt.f64 (/.f64 b a)))
(*.f64 b (*.f64 (cbrt.f64 (*.f64 b (/.f64 b (*.f64 a a)))) (cbrt.f64 (/.f64 b a))))
(*.f64 (*.f64 b (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)))
(/.f64 (*.f64 b b) a)
(*.f64 (*.f64 (/.f64 b a) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b))
(*.f64 (/.f64 b a) (*.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 b)))
(*.f64 (*.f64 (/.f64 b a) (sqrt.f64 b)) (sqrt.f64 b))
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(/.f64 (*.f64 b b) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b b)))
(/.f64 (*.f64 b b) a)
(/.f64 (*.f64 b b) a)
(/.f64 (neg.f64 (*.f64 b b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 b b) a)
(/.f64 (*.f64 b (neg.f64 b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 b b) a)
(/.f64 (*.f64 (neg.f64 b) b) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 b b) a)
(/.f64 (/.f64 (*.f64 b b) #s(literal 1 binary64)) a)
(/.f64 (*.f64 b b) a)
(/.f64 (/.f64 (*.f64 b b) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))
(*.f64 b (/.f64 (/.f64 b (cbrt.f64 a)) (cbrt.f64 (*.f64 a a))))
(/.f64 (/.f64 (*.f64 b b) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (*.f64 b b) a)
(pow.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(/.f64 (*.f64 b b) a)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) #s(literal 3 binary64))
(/.f64 (*.f64 b b) a)
(pow.f64 (*.f64 (/.f64 (*.f64 b b) a) (*.f64 (/.f64 b a) (*.f64 b (/.f64 (*.f64 b b) a)))) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 3 binary64)))
(pow.f64 (/.f64 b (sqrt.f64 a)) #s(literal 2 binary64))
(/.f64 (*.f64 b b) a)
(sqrt.f64 (*.f64 (/.f64 b a) (*.f64 b (/.f64 (*.f64 b b) a))))
(fabs.f64 (/.f64 (*.f64 b b) a))
(log.f64 (exp.f64 (/.f64 (*.f64 b b) a)))
(/.f64 (*.f64 b b) a)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 b b) a))))
(/.f64 (*.f64 b b) a)
(cbrt.f64 (*.f64 (/.f64 (*.f64 b b) a) (*.f64 (/.f64 b a) (*.f64 b (/.f64 (*.f64 b b) a)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 b (*.f64 b b))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 b b) a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 b b) a)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 b b) a)))
(/.f64 (*.f64 b b) a)
(exp.f64 (log.f64 (/.f64 (*.f64 b b) a)))
(/.f64 (*.f64 b b) a)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) a)) #s(literal 1 binary64)))
(/.f64 (*.f64 b b) a)

eval258.0ms (8.7%)

Compiler

Compiled 10212 to 5814 computations (43.1% saved)

prune106.0ms (3.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4950495
Fresh000
Picked033
Done011
Total4954499
Accuracy
100.0%
Counts
499 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b a)) a)
99.3%
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
57.0%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.6%
a
Compiler

Compiled 62 to 36 computations (41.9% saved)

regimes11.0ms (0.4%)

Counts
4 → 1
Calls
Call 1
Inputs
a
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b a)) a)
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
Outputs
(fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b a)) a)
Calls

6 calls:

3.0ms
b
2.0ms
a
2.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
1.0ms
(*.f64 a a)
1.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.9%1(-.f64 (*.f64 a a) (*.f64 b b))
99.9%1(*.f64 a a)
99.9%1(*.f64 b b)
Compiler

Compiled 35 to 21 computations (40% saved)

regimes7.0ms (0.2%)

Accuracy

Total -27.4b remaining (-10682.8%)

Threshold costs -27.4b (-10682.8%)

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

6 calls:

1.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
1.0ms
a
1.0ms
b
1.0ms
(*.f64 a a)
1.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
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)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
11337
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b a)) a)
a
Outputs
(fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b a)) a)
a

soundness165.0ms (5.5%)

Rules
637×fma-neg
349×associate-*r*
328×associate-*l*
257×fma-define
241×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07684294990523
118644294986625
261154294984761
Stop Event
done
node limit
Compiler

Compiled 55 to 33 computations (40% saved)

preprocess48.0ms (1.6%)

Remove

(abs b)

Compiler

Compiled 192 to 114 computations (40.6% saved)

end0.0ms (0%)

Profiling

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