bug366, discussion (missed optimization)

Time bar (total: 4.6s)

analyze36.0ms (0.8%)

Algorithm
1×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: 9.0ms (57.6% of total)
ival-sqrt: 4.0ms (25.6% of total)
ival-sub: 3.0ms (19.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (24.4%)

Results
891.0ms8256×0valid
32.0ms647×0invalid
Precisions
Click to see histograms. Total time spent on operations: 676.0ms
ival-mult: 380.0ms (56.2% of total)
ival-sub: 212.0ms (31.4% of total)
ival-sqrt: 74.0ms (11% of total)
const: 8.0ms (1.2% of total)
backward-pass: 2.0ms (0.3% of total)
Bogosity

preprocess172.0ms (3.8%)

Algorithm
1×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
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b)))))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 b b))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b)))))
(neg.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a a)))
(sqrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a))))
Symmetry

(abs a)

(abs b)

explain60.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1280-0-(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
34.0ms512×0valid
Compiler

Compiled 62 to 20 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (51.2% of total)
ival-sqrt: 4.0ms (25.6% of total)
ival-sub: 2.0ms (12.8% of total)
const: 0.0ms (0% of total)
backward-pass: 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
▶52.9%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify226.0ms (4.9%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6336
(-.f64 (*.f64 a a) (*.f64 b b))
✓cost-diff-6336
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(*.f64 a a)
Rules
696×fma-define
692×distribute-lft-out
642×sub-neg
585×fma-neg
495×distribute-lft-out--
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012100
122100
234100
363100
4141100
5389100
6849100
71721100
83837100
95460100
106314100
116683100
126913100
137027100
147027100
157987100
Stop Event
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
Outputs
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(sqrt.f64 (fma.f64 a a (*.f64 b (neg.f64 b))))
(-.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(*.f64 a a)
a
(*.f64 b b)
b

localize27.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 b b)
✓accuracy100.0%
(*.f64 a a)
✓accuracy95.0%
(-.f64 (*.f64 a a) (*.f64 b b))
✓accuracy53.4%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Results
20.0ms256×0valid
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 (52.1% of total)
ival-sqrt: 2.0ms (26% of total)
ival-sub: 1.0ms (13% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.2%)

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

18 calls:

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

rewrite275.0ms (6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01274
114774
2190972
Stop Event
1×node limit
Counts
4 → 358
Calls
Call 1
Inputs
(*.f64 a a)
(*.f64 b b)
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(-.f64 (*.f64 a a) (*.f64 b b))
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (pow.f64 a #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 a) #s(literal 6 binary64))
(pow.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 a) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 a #s(literal 4 binary64)))
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(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) b (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 a #s(literal 2 binary64)))

simplify282.0ms (6.2%)

Algorithm
1×egg-herbie
Rules
701×times-frac
451×fma-neg
303×prod-exp
289×associate-*r*
267×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082312884918617
1183412884918088
2517612884917171
Stop Event
1×node limit
Counts
430 → 496
Calls
Call 1
Inputs
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) a)
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))))))
a
(+.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))
(+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))
(+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(pow.f64 a #s(literal 2 binary64))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(pow.f64 a #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 2 binary64)))
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(fma.f64 (-.f64 a b) (+.f64 a b) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) b (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
Outputs
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b)))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 a (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))
(*.f64 a (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))))))
(*.f64 #s(literal -1 binary64) a)
(neg.f64 a)
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 (neg.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))))
(*.f64 (neg.f64 a) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
(*.f64 a (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))))
(*.f64 a (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))))))
(*.f64 (neg.f64 a) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (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))))))))
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(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) b (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))

eval145.0ms (3.2%)

Compiler

Compiled 10922 to 1480 computations (86.4% saved)

prune61.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4933496
Fresh000
Picked101
Done000
Total4943497
Accuracy
100.0%
Counts
497 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
▶53.4%
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
▶98.9%
a
Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify185.0ms (4%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (-.f64 a b))
✓cost-diff0
(+.f64 a b)
✓cost-diff0
(sqrt.f64 (+.f64 a b))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
✓cost-diff0
(+.f64 a b)
✓cost-diff0
(-.f64 a b)
✓cost-diff0
(*.f64 (-.f64 a b) (+.f64 a b))
✓cost-diff0
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
Rules
2340×fma-neg
1522×associate-+r+
900×distribute-lft-in
842×distribute-rgt-in
587×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015211
126211
254211
3118211
4250211
5571211
61203211
72355211
82988211
93248211
103305211
113343211
123345211
133345211
143347211
Stop Event
1×node limit
Calls
Call 1
Inputs
a
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
(*.f64 (-.f64 a b) (+.f64 a b))
(-.f64 a b)
a
b
(+.f64 a b)
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sqrt.f64 (-.f64 a b))
(-.f64 a b)
Outputs
a
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(*.f64 (-.f64 a b) (+.f64 a b))
(-.f64 (*.f64 a a) (*.f64 b b))
(-.f64 a b)
a
b
(+.f64 a b)
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sqrt.f64 (-.f64 a b))
(-.f64 a b)

localize40.0ms (0.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 a b)
✓accuracy100.0%
(sqrt.f64 (-.f64 a b))
✓accuracy100.0%
(sqrt.f64 (+.f64 a b))
✓accuracy99.2%
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
✓accuracy100.0%
(-.f64 a b)
✓accuracy100.0%
(+.f64 a b)
✓accuracy100.0%
(*.f64 (-.f64 a b) (+.f64 a b))
✓accuracy53.4%
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
Results
27.0ms256×0valid
Compiler

Compiled 52 to 10 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sqrt: 5.0ms (41.4% of total)
ival-mult: 3.0ms (24.8% of total)
ival-sub: 2.0ms (16.5% of total)
ival-add: 1.0ms (8.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series33.0ms (0.7%)

Counts
7 → 159
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))>
#<alt (*.f64 (-.f64 a b) (+.f64 a b))>
#<alt (-.f64 a b)>
#<alt (+.f64 a b)>
#<alt (*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))>
#<alt (sqrt.f64 (+.f64 a b))>
#<alt (sqrt.f64 (-.f64 a b))>
Outputs
#<alt (*.f64 b (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
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#<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 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 (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 (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 (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 a)>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b))))>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 b #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 a)>
#<alt (+.f64 (sqrt.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) b)))>
#<alt (+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)))))>
#<alt (+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) b)))))))>
#<alt (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))))>
Calls

42 calls:

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

rewrite179.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
911×log1p-expm1-u
911×expm1-log1p-u
779×prod-diff
393×fma-define
140×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015161
1207143
22638143
Stop Event
1×node limit
Counts
7 → 454
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
(*.f64 (-.f64 a b) (+.f64 a b))
(-.f64 a b)
(+.f64 a b)
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (+.f64 a b))
(sqrt.f64 (-.f64 a b))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (-.f64 a b)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (sqrt.f64 (+.f64 a b))))
(*.f64 (cbrt.f64 (+.f64 a b)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (sqrt.f64 (-.f64 a b))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 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 a b))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 a b))))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a b)) (cbrt.f64 (-.f64 a b))) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64))) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (cbrt.f64 (+.f64 a b))) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)))
(hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (sqrt.f64 (*.f64 a (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (sqrt.f64 (*.f64 b (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)))
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)))
(hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (*.f64 a (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (sqrt.f64 (*.f64 a (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 (neg.f64 b) b (pow.f64 b #s(literal 2 binary64))))
(+.f64 (pow.f64 a #s(literal 2 binary64)) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(+.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (neg.f64 b) b))
(+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b)))
(+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b)))
(+.f64 (*.f64 (+.f64 a b) a) (*.f64 (+.f64 a b) (neg.f64 b)))
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 (neg.f64 b) (+.f64 a b)))
(+.f64 (*.f64 (*.f64 a (-.f64 a b)) #s(literal 1 binary64)) (*.f64 (*.f64 b (-.f64 a b)) #s(literal 1 binary64)))
(+.f64 (fma.f64 a a (neg.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 a a (neg.f64 (*.f64 (*.f64 (cbrt.f64 b) b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 b) b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))))
(+.f64 (fma.f64 a a (neg.f64 (*.f64 (*.f64 (sqrt.f64 b) b) (sqrt.f64 b)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 b) b)) (sqrt.f64 b) (*.f64 (*.f64 (sqrt.f64 b) b) (sqrt.f64 b))))
(+.f64 (fma.f64 a a (neg.f64 (*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))))))
(+.f64 (fma.f64 a a (neg.f64 (*.f64 (sqrt.f64 b) (*.f64 b (sqrt.f64 b))))) (fma.f64 (neg.f64 (sqrt.f64 b)) (*.f64 b (sqrt.f64 b)) (*.f64 (sqrt.f64 b) (*.f64 b (sqrt.f64 b)))))
(+.f64 (fma.f64 a a (neg.f64 (*.f64 (cbrt.f64 b) (*.f64 b (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 b)) (*.f64 b (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (*.f64 (cbrt.f64 b) (*.f64 b (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 b) b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 b) b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 b) b) (sqrt.f64 b)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 b) b)) (sqrt.f64 b) (*.f64 (*.f64 (sqrt.f64 b) b) (sqrt.f64 b))))
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(pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 a b)))))
(cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a b)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (cbrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (hypot.f64 a (sqrt.f64 (*.f64 b (+.f64 a b)))))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 a b)))))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 b)))
(hypot.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)))

simplify349.0ms (7.6%)

Algorithm
1×egg-herbie
Rules
758×fma-define
652×times-frac
530×distribute-lft-in
511×distribute-rgt-in
349×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0124132929
1340928401
Stop Event
1×node limit
Counts
613 → 797
Calls
Call 1
Inputs
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64))))) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 b (*.f64 #s(literal -1 binary64) b)))) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) a)) (*.f64 #s(literal 1/2 binary64) (+.f64 b (*.f64 #s(literal -1 binary64) b)))) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
a
(+.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) a)))
(+.f64 a (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) a)))))
(+.f64 a (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) a)) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) a)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) (+.f64 a (*.f64 #s(literal -1 binary64) a)))) (pow.f64 a #s(literal 3 binary64)))))))))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))))) b)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))))) b)))))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b)))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 a (+.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b)))))
(pow.f64 a #s(literal 2 binary64))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 b a))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (/.f64 b a)))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (/.f64 b a)))))
(pow.f64 a #s(literal 2 binary64))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 b a))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 b (*.f64 #s(literal -1 binary64) b))) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) a))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 b (*.f64 #s(literal -1 binary64) b))) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) a))))
(pow.f64 a #s(literal 2 binary64))
(+.f64 (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) (pow.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 b (+.f64 a (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) b)))) (pow.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 b (+.f64 a (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) b)))) (pow.f64 a #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (/.f64 a b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (+.f64 (/.f64 a b) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (+.f64 (/.f64 a b) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)))) b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)))) b)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) b)
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a))))
a
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64))))
a
(+.f64 a (*.f64 #s(literal -1 binary64) b))
(+.f64 a (*.f64 #s(literal -1 binary64) b))
(+.f64 a (*.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b (-.f64 (/.f64 a b) #s(literal 1 binary64)))
(*.f64 b (-.f64 (/.f64 a b) #s(literal 1 binary64)))
(*.f64 b (-.f64 (/.f64 a b) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) b)
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b)))))
b
a
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
a
(*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64))))
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a
b
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
b
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(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
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a
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a
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(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
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(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))
(+.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))))))
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(sqrt.f64 a)
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
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(sqrt.f64 a)
(+.f64 (sqrt.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) b)))
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(sqrt.f64 b)
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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 (+.f64 a b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a b)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (cbrt.f64 (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 a b)) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 a b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (-.f64 a b)))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (hypot.f64 a (sqrt.f64 (*.f64 b (-.f64 b a)))))
(pow.f64 (+.f64 a b) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 a b)))))
(cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a b)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (cbrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (hypot.f64 a (sqrt.f64 (*.f64 b (+.f64 a b)))))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 a b)))))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 b)))
(hypot.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)))
Outputs
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (/.f64 #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 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.f64 a b) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 a b) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64)))) (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 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) b) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 a (fma.f64 #s(literal -1/4 binary64) (*.f64 a (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 0 binary64) b)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64)))) (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 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) b) a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) (/.f64 (+.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (neg.f64 (pow.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64))))) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64))))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) a) (/.f64 (+.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64))))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (neg.f64 (pow.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) 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 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) b) a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #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 -1/2 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 (neg.f64 a) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.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 #s(literal 0 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 #s(literal 0 binary64) b))) a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 a (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a) #s(literal 0 binary64)) 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 (neg.f64 a) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 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 #s(literal 0 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 #s(literal 0 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) (pow.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 a))) (neg.f64 a)) a)) (neg.f64 a))
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 1/2 binary64) (/.f64 (*.f64 b (*.f64 #s(literal 0 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)))))
(+.f64 a (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) a) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) a) a)))))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 2 binary64)))) 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)))))))))
(+.f64 a (*.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) a) a) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) 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 0 binary64) a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))) (pow.f64 a #s(literal 3 binary64)))))))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/4 binary64) (*.f64 b (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 2 binary64))))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 2 binary64))))) a)) (/.f64 #s(literal 0 binary64) a)) a)
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
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(neg.f64 b)
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b
a
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a
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a
b
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b
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a
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a
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a
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(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
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(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
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(fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 a (+.f64 a (*.f64 #s(literal 0 binary64) b))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
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(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
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(fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (*.f64 a (+.f64 a (*.f64 #s(literal 0 binary64) b))))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a)) (pow.f64 b #s(literal 2 binary64)))
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(-.f64 (*.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a)) (pow.f64 b #s(literal 2 binary64)))
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(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
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(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
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(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
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(pow.f64 (+.f64 a b) #s(literal 1 binary64))
(+.f64 b a)
(pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 2 binary64))
(+.f64 b a)
(pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 3 binary64))
(+.f64 b a)
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(fabs.f64 (+.f64 b a))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 b a)
(sqrt.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(fabs.f64 (+.f64 b a))
(log.f64 (exp.f64 (+.f64 a b)))
(+.f64 b a)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a b))))
(+.f64 b a)
(cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)))
(+.f64 b a)
(expm1.f64 (log1p.f64 (+.f64 a b)))
(expm1.f64 (log1p.f64 (+.f64 b a)))
(log1p.f64 (expm1.f64 (+.f64 a b)))
(+.f64 b a)
(exp.f64 (log.f64 (+.f64 a b)))
(+.f64 b a)
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 b a)
(fma.f64 a #s(literal 1 binary64) b)
(+.f64 b a)
(fma.f64 b #s(literal 1 binary64) a)
(+.f64 b a)
(fma.f64 #s(literal 1 binary64) a b)
(+.f64 b a)
(fma.f64 #s(literal 1 binary64) b a)
(+.f64 b a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) b)
(+.f64 b a)
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) b)
(+.f64 b a)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) a)
(+.f64 b a)
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) a)
(+.f64 b a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) b)
(+.f64 b a)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) a)
(+.f64 b a)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (sqrt.f64 (*.f64 a (-.f64 a b))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (*.f64 a (-.f64 a b))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (sqrt.f64 (*.f64 a (-.f64 a b))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a b)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 b a))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a b)))
(sqrt.f64 (+.f64 b a))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (cbrt.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 (cbrt.f64 (+.f64 b a)) (cbrt.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(sqrt.f64 (+.f64 b a))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a b)))
(sqrt.f64 (+.f64 b a))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 b a))) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 a b))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 b a))) (sqrt.f64 (cbrt.f64 (+.f64 b a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (-.f64 a b)))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (hypot.f64 a (sqrt.f64 (*.f64 b (-.f64 b a)))))
(pow.f64 (+.f64 a b) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 b a))
(pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 b a))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) #s(literal 3 binary64))
(sqrt.f64 (+.f64 b a))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 b a))
(fabs.f64 (sqrt.f64 (+.f64 a b)))
(sqrt.f64 (+.f64 b a))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))
(sqrt.f64 (+.f64 b a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 a b)))))
(sqrt.f64 (+.f64 b a))
(cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (+.f64 b a) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 b a))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 b))
(sqrt.f64 (+.f64 b a))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt.f64 (+.f64 b a))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a b))))
(sqrt.f64 (+.f64 b a))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a b))))
(sqrt.f64 (+.f64 b a))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 b a))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a b))) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 b a))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 a b)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 a b))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (-.f64 a b))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) (cbrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(sqrt.f64 (-.f64 a b))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (-.f64 a b))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 a b))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 a b))) (sqrt.f64 (cbrt.f64 (-.f64 a b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (+.f64 b a)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (hypot.f64 a (sqrt.f64 (*.f64 b (+.f64 a b)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (hypot.f64 a (sqrt.f64 (*.f64 b (+.f64 b a)))))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 a b))
(pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 a b))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))
(sqrt.f64 (-.f64 a b))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (-.f64 a b))
(fabs.f64 (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (-.f64 a b))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 a b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 a b)))))
(sqrt.f64 (-.f64 a b))
(cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 b)))
(sqrt.f64 (-.f64 a b))
(hypot.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 a))
(sqrt.f64 (-.f64 a b))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 a b))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 a b))

eval129.0ms (2.8%)

Compiler

Compiled 21946 to 3371 computations (84.6% saved)

prune128.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New101911020
Fresh000
Picked033
Done000
Total101941023
Accuracy
100.0%
Counts
1023 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(*.f64 (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 (-.f64 a b)))
✓99.2%
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
✓53.4%
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
✓98.9%
a
Compiler

Compiled 36 to 23 computations (36.1% saved)

simplify163.0ms (3.6%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 a)
✓cost-diff0
(sqrt.f64 b)
✓cost-diff12736
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
✓cost-diff12736
(*.f64 (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 (-.f64 a b)))
Rules
1861×fma-define
921×associate--l-
694×unsub-neg
539×fma-neg
362×distribute-neg-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014118
121110
231110
353110
480110
5134110
6305110
7875110
81885110
93052110
103821110
114401110
124526110
134572110
145929110
157337110
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 (-.f64 a b)))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt.f64 b)
b
(sqrt.f64 a)
a
(sqrt.f64 (-.f64 a b))
(-.f64 a b)
Outputs
(*.f64 (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt.f64 (+.f64 b a))
(sqrt.f64 b)
b
(sqrt.f64 a)
a
(sqrt.f64 (-.f64 a b))
(-.f64 a b)

localize35.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 b)
✓accuracy100.0%
(sqrt.f64 a)
✓accuracy100.0%
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
✓accuracy99.2%
(*.f64 (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 (-.f64 a b)))
Results
26.0ms256×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sqrt: 6.0ms (45.4% of total)
ival-hypot: 4.0ms (30.3% of total)
ival-mult: 2.0ms (15.1% of total)
ival-sub: 1.0ms (7.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
4 → 56
Calls
Call 1
Inputs
#<alt (*.f64 (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 (-.f64 a b)))>
#<alt (hypot.f64 (sqrt.f64 b) (sqrt.f64 a))>
#<alt (sqrt.f64 b)>
#<alt (sqrt.f64 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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (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 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 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 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #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 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 b (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #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 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #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 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (sqrt.f64 a)>
#<alt (+.f64 (sqrt.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) b)))>
#<alt (+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))>
#<alt (+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) b)))))))>
#<alt (sqrt.f64 b)>
#<alt (*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 b) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (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 #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 (sqrt.f64 b) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (sqrt.f64 b) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

18 calls:

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

rewrite96.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
735×log1p-expm1-u
735×expm1-log1p-u
655×prod-diff
386×log-prod
238×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01472
117762
2214262
Stop Event
1×node limit
Counts
4 → 106
Calls
Call 1
Inputs
(*.f64 (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 (-.f64 a b)))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 a))
(sqrt.f64 b)
(sqrt.f64 a)
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 3 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 (sqrt.f64 (+.f64 b a)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 b a)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(-.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 (sqrt.f64 (+.f64 b a)) (log.f64 (exp.f64 #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 (sqrt.f64 (sqrt.f64 (+.f64 b a))) (sqrt.f64 (sqrt.f64 (+.f64 b a))))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (+.f64 b a) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 b a))) #s(literal 2 binary64))
(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 (sqrt.f64 (+.f64 b a)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 b a))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 b a))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 b a))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 (+.f64 b a)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (+.f64 b a)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 b))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 b))) (cbrt.f64 (exp.f64 (sqrt.f64 b))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 b)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 b)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 b))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 b) #s(literal 1 binary64))
(*.f64 (sqrt.f64 b) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 b))
(*.f64 (cbrt.f64 (sqrt.f64 b)) (cbrt.f64 b))
(*.f64 (cbrt.f64 b) (cbrt.f64 (sqrt.f64 b)))
(*.f64 (pow.f64 b #s(literal 1/4 binary64)) (pow.f64 b #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 b)))
(pow.f64 b #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 b) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 b #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 b))
(log.f64 (exp.f64 (sqrt.f64 b)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 b))))
(cbrt.f64 (pow.f64 b #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 b)))
(log1p.f64 (expm1.f64 (sqrt.f64 b)))
(exp.f64 (log.f64 (sqrt.f64 b)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 b)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 b))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 b)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 b)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) (cbrt.f64 (exp.f64 (sqrt.f64 a))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 a))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 a) #s(literal 1 binary64))
(*.f64 (sqrt.f64 a) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 a))
(*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 a))
(*.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 a)))
(pow.f64 a #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 a))
(log.f64 (exp.f64 (sqrt.f64 a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 a))))
(cbrt.f64 (pow.f64 a #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 a)))
(log1p.f64 (expm1.f64 (sqrt.f64 a)))
(exp.f64 (log.f64 (sqrt.f64 a)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 a))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 a)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 a)) #s(literal 2 binary64)))

simplify169.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
765×distribute-lft-in
398×fma-define
316×*-commutative
274×associate-*r*
267×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05446226
114485218
258994687
Stop Event
1×node limit
Counts
162 → 236
Calls
Call 1
Inputs
a
(+.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) a)))
(+.f64 a (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) a)))))
(+.f64 a (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) a)) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) a)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) (+.f64 a (*.f64 #s(literal -1 binary64) a)))) (pow.f64 a #s(literal 3 binary64)))))))))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 a (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) b)))))
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(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
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a
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(sqrt.f64 a)
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(sqrt.f64 b)
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(sqrt.f64 b)
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(sqrt.f64 a)
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(pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 3 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 (sqrt.f64 (+.f64 b a)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 b a)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(-.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 (sqrt.f64 (+.f64 b a)) (log.f64 (exp.f64 #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 (sqrt.f64 (sqrt.f64 (+.f64 b a))) (sqrt.f64 (sqrt.f64 (+.f64 b a))))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (+.f64 b a) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 b a))) #s(literal 2 binary64))
(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 (sqrt.f64 (+.f64 b a)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 b a))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 b a))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 b a))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 (+.f64 b a)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (+.f64 b a)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 b))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 b))) (cbrt.f64 (exp.f64 (sqrt.f64 b))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 b)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 b)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 b))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 b) #s(literal 1 binary64))
(*.f64 (sqrt.f64 b) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 b))
(*.f64 (cbrt.f64 (sqrt.f64 b)) (cbrt.f64 b))
(*.f64 (cbrt.f64 b) (cbrt.f64 (sqrt.f64 b)))
(*.f64 (pow.f64 b #s(literal 1/4 binary64)) (pow.f64 b #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 b)))
(pow.f64 b #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 b) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 b #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 b))
(log.f64 (exp.f64 (sqrt.f64 b)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 b))))
(cbrt.f64 (pow.f64 b #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 b)))
(log1p.f64 (expm1.f64 (sqrt.f64 b)))
(exp.f64 (log.f64 (sqrt.f64 b)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 b)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 b))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 b)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 b)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) (cbrt.f64 (exp.f64 (sqrt.f64 a))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 a))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 a) #s(literal 1 binary64))
(*.f64 (sqrt.f64 a) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 a))
(*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 a))
(*.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 a)))
(pow.f64 a #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 a))
(log.f64 (exp.f64 (sqrt.f64 a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 a))))
(cbrt.f64 (pow.f64 a #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 a)))
(log1p.f64 (expm1.f64 (sqrt.f64 a)))
(exp.f64 (log.f64 (sqrt.f64 a)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 a))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 a)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 a)) #s(literal 2 binary64)))
Outputs
a
(+.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) a)))
a
(+.f64 a (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) a)))))
(+.f64 a (*.f64 b (fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) a)) a))))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 2 binary64)))) a) (/.f64 #s(literal 0 binary64) a)) a)
(+.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))
(+.f64 a (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) a)) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) a)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) (+.f64 a (*.f64 #s(literal -1 binary64) a)))) (pow.f64 a #s(literal 3 binary64)))))))))
(+.f64 a (*.f64 b (fma.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) a)) a))))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 2 binary64)))) a) (/.f64 #s(literal 0 binary64) a)) a)
(+.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(*.f64 b (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) a) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(*.f64 b (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b))
(*.f64 b (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 a (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 (neg.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b))
(*.f64 b (neg.f64 (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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) b)))))
(*.f64 (neg.f64 b) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (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 (-.f64 (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))))) 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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) b)))))
(*.f64 (neg.f64 b) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 a (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) b) (/.f64 (+.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #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 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) b))))
(*.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)) (neg.f64 b))
(*.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b)) b)) (neg.f64 b))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))
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a
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a
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a
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a
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(sqrt.f64 a)
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(sqrt.f64 b)
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(sqrt.f64 b)
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(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 3 binary64)) (pow.f64 (-.f64 a b) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 3 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 (sqrt.f64 (+.f64 a b)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 3 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 (sqrt.f64 (+.f64 a b)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 a (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 b a)))
(sqrt.f64 (+.f64 a b))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a b))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 b a))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (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 (sqrt.f64 (+.f64 b a)) (log.f64 (exp.f64 #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 (sqrt.f64 (+.f64 a b))) (cbrt.f64 (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 b a)) (cbrt.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (cbrt.f64 (+.f64 a b)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 b a))) (sqrt.f64 (sqrt.f64 (+.f64 b a))))
(sqrt.f64 (+.f64 a b))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64))
(sqrt.f64 (+.f64 a b))
(pow.f64 (+.f64 b a) #s(literal 1/2 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 (sqrt.f64 (+.f64 b a)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (+.f64 a b))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 b a))) #s(literal 2 binary64))
(sqrt.f64 (+.f64 a b))
(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 (sqrt.f64 (+.f64 b a)) #s(literal 3 binary64)))
(sqrt.f64 (+.f64 a b))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 b a))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a b))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 b a))))
(sqrt.f64 (+.f64 a b))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 b a))))
(sqrt.f64 (+.f64 a b))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 b a))) #s(literal 1 binary64)))
(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 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 b a)))) #s(literal 3 binary64)))
(sqrt.f64 (+.f64 a b))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sqrt.f64 (+.f64 b a)))) #s(literal 1/3 binary64)))
(sqrt.f64 (+.f64 a b))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (+.f64 b a)))) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 a b))
(+.f64 #s(literal 0 binary64) (sqrt.f64 b))
(sqrt.f64 b)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 b))) (cbrt.f64 (exp.f64 (sqrt.f64 b))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 b)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 b)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 b)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 b))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 b)))
(*.f64 (sqrt.f64 b) #s(literal 1 binary64))
(sqrt.f64 b)
(*.f64 (sqrt.f64 b) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sqrt.f64 b)
(*.f64 #s(literal 1 binary64) (sqrt.f64 b))
(sqrt.f64 b)
(*.f64 (cbrt.f64 (sqrt.f64 b)) (cbrt.f64 b))
(*.f64 (cbrt.f64 b) (cbrt.f64 (sqrt.f64 b)))
(*.f64 (cbrt.f64 (sqrt.f64 b)) (cbrt.f64 b))
(*.f64 (pow.f64 b #s(literal 1/4 binary64)) (pow.f64 b #s(literal 1/4 binary64)))
(sqrt.f64 b)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 b) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 b)))
(*.f64 (fabs.f64 (cbrt.f64 b)) (sqrt.f64 (cbrt.f64 b)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 b)))
(*.f64 (fabs.f64 (cbrt.f64 b)) (sqrt.f64 (cbrt.f64 b)))
(pow.f64 b #s(literal 1/2 binary64))
(sqrt.f64 b)
(pow.f64 (sqrt.f64 b) #s(literal 1 binary64))
(sqrt.f64 b)
(pow.f64 (cbrt.f64 (sqrt.f64 b)) #s(literal 3 binary64))
(sqrt.f64 b)
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 b)
(pow.f64 (pow.f64 b #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 b)
(fabs.f64 (sqrt.f64 b))
(sqrt.f64 b)
(log.f64 (exp.f64 (sqrt.f64 b)))
(sqrt.f64 b)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 b))))
(sqrt.f64 b)
(cbrt.f64 (pow.f64 b #s(literal 3/2 binary64)))
(sqrt.f64 b)
(expm1.f64 (log1p.f64 (sqrt.f64 b)))
(log1p.f64 (expm1.f64 (sqrt.f64 b)))
(sqrt.f64 b)
(exp.f64 (log.f64 (sqrt.f64 b)))
(sqrt.f64 b)
(exp.f64 (*.f64 (log.f64 b) #s(literal 1/2 binary64)))
(sqrt.f64 b)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 b)) #s(literal 1 binary64)))
(sqrt.f64 b)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 b))) #s(literal 3 binary64)))
(sqrt.f64 b)
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 b)) #s(literal 1/3 binary64)))
(sqrt.f64 b)
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 b)) #s(literal 2 binary64)))
(sqrt.f64 b)
(+.f64 #s(literal 0 binary64) (sqrt.f64 a))
(sqrt.f64 a)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) (cbrt.f64 (exp.f64 (sqrt.f64 a))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 a)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 a))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) #s(literal 1 binary64))
(sqrt.f64 a)
(*.f64 (sqrt.f64 a) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sqrt.f64 a)
(*.f64 #s(literal 1 binary64) (sqrt.f64 a))
(sqrt.f64 a)
(*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 a))
(*.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 a))
(*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)))
(sqrt.f64 a)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 a)))
(*.f64 (fabs.f64 (cbrt.f64 a)) (sqrt.f64 (cbrt.f64 a)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 a)))
(*.f64 (fabs.f64 (cbrt.f64 a)) (sqrt.f64 (cbrt.f64 a)))
(pow.f64 a #s(literal 1/2 binary64))
(sqrt.f64 a)
(pow.f64 (sqrt.f64 a) #s(literal 1 binary64))
(sqrt.f64 a)
(pow.f64 (cbrt.f64 (sqrt.f64 a)) #s(literal 3 binary64))
(sqrt.f64 a)
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 a)
(pow.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 a)
(fabs.f64 (sqrt.f64 a))
(sqrt.f64 a)
(log.f64 (exp.f64 (sqrt.f64 a)))
(sqrt.f64 a)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 a))))
(sqrt.f64 a)
(cbrt.f64 (pow.f64 a #s(literal 3/2 binary64)))
(sqrt.f64 a)
(expm1.f64 (log1p.f64 (sqrt.f64 a)))
(log1p.f64 (expm1.f64 (sqrt.f64 a)))
(sqrt.f64 a)
(exp.f64 (log.f64 (sqrt.f64 a)))
(sqrt.f64 a)
(exp.f64 (*.f64 (log.f64 a) #s(literal 1/2 binary64)))
(sqrt.f64 a)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 a)) #s(literal 1 binary64)))
(sqrt.f64 a)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 a))) #s(literal 3 binary64)))
(sqrt.f64 a)
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 a)) #s(literal 1/3 binary64)))
(sqrt.f64 a)
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 a)) #s(literal 2 binary64)))
(sqrt.f64 a)

eval31.0ms (0.7%)

Compiler

Compiled 5318 to 1105 computations (79.2% saved)

prune37.0ms (0.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2360236
Fresh000
Picked011
Done033
Total2364240
Accuracy
100.0%
Counts
240 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(*.f64 (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 (-.f64 a b)))
✓99.2%
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
✓53.4%
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
✓98.9%
a
Compiler

Compiled 74 to 40 computations (45.9% saved)

regimes14.0ms (0.3%)

Counts
5 → 1
Calls
Call 1
Inputs
a
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 (-.f64 a b)))
Outputs
(*.f64 (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 (-.f64 a b)))
Calls

6 calls:

2.0ms
a
2.0ms
b
2.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
2.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.2%1(-.f64 (*.f64 a a) (*.f64 b b))
99.2%1(*.f64 a a)
99.2%1(*.f64 b b)
Compiler

Compiled 35 to 21 computations (40% saved)

regimes14.0ms (0.3%)

Counts
4 → 1
Calls
Call 1
Inputs
a
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
Outputs
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
Calls

6 calls:

4.0ms
(*.f64 b b)
2.0ms
a
2.0ms
b
2.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
2.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.2%1(-.f64 (*.f64 a a) (*.f64 b b))
99.2%1(*.f64 a a)
99.2%1(*.f64 b b)
Compiler

Compiled 35 to 21 computations (40% saved)

regimes13.0ms (0.3%)

Accuracy

Total -29.8b remaining (-4319.5%)

Threshold costs -29.8b (-4319.5%)

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

6 calls:

4.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
2.0ms
a
2.0ms
b
2.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
98.9%1a
98.9%1b
98.9%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
98.9%1(-.f64 (*.f64 a a) (*.f64 b b))
98.9%1(*.f64 a a)
98.9%1(*.f64 b b)
Compiler

Compiled 35 to 21 computations (40% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative
3×+-commutative
2×sub-neg
1×neg-sub0
1×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01786
12286
22786
32986
43086
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
a
Outputs
(*.f64 (hypot.f64 (sqrt.f64 b) (sqrt.f64 a)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
a

soundness470.0ms (10.3%)

Rules
911×log1p-expm1-u
911×expm1-log1p-u
779×prod-diff
701×times-frac
645×log1p-expm1-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082312884918617
1183412884918088
2517612884917171
01274
114774
2190972
015161
1207143
22638143
Stop Event
1×done
1×node limit
1×node limit
1×node limit
Compiler

Compiled 153 to 60 computations (60.8% saved)

preprocess59.0ms (1.3%)

Compiler

Compiled 238 to 148 computations (37.8% saved)

end0.0ms (0%)

Profiling

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