bug366, discussion (missed optimization)

Time bar (total: 4.8s)

analyze37.0ms (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)

sample905.0ms (18.8%)

Results
593.0ms8256×0valid
33.0ms658×0invalid
Precisions
Click to see histograms. Total time spent on operations: 409.0ms
ival-sqrt: 203.0ms (49.7% of total)
ival-mult: 143.0ms (35% of total)
ival-sub: 52.0ms (12.7% of total)
const: 7.0ms (1.7% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess175.0ms (3.6%)

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)

explain59.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1290-0-(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
140-0-(-.f64 (*.f64 a a) (*.f64 b b))
00-0-(*.f64 b b)
00-0-b
00-0-a
00-0-(*.f64 a a)
Results
35.0ms512×0valid
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 (49.7% of total)
ival-sqrt: 4.0ms (24.8% of total)
ival-sub: 3.0ms (18.6% 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)

localize25.0ms (0.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓95.6%
(-.f64 (*.f64 a a) (*.f64 b b))
✓53.3%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
Results
18.0ms256×0valid
Compiler

Compiled 26 to 7 computations (73.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (57.1% of total)
ival-sqrt: 2.0ms (22.9% of total)
ival-sub: 1.0ms (11.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))>
#<alt (-.f64 (*.f64 a a) (*.f64 b b))>
Outputs
#<alt (*.f64 b (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt a>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))>
#<alt (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))))))>
#<alt a>
#<alt (+.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))>
#<alt (+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))>
#<alt (+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))>
#<alt (*.f64 b (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))>
#<alt (pow.f64 a #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))>
Calls

12 calls:

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

rewrite255.0ms (5.3%)

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

simplify331.0ms (6.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
074718157
1170217248
2473114957
Stop Event
1×node limit
Counts
362 → 457
Calls
Call 1
Inputs
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))))
(*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) a)
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))))))
a
(+.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)))
(+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))
(+.f64 a (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(pow.f64 a #s(literal 2 binary64))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(pow.f64 a #s(literal 2 binary64))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))))
(pow.f64 a #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))) (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 a b) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a) a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (pow.f64 b #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (+.f64 a b) (-.f64 a b) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 a b) (-.f64 a b) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 a b) (+.f64 a b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (-.f64 a b) (+.f64 a b) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 a b) (+.f64 a b) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64)))) b) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) #s(literal 2 binary64))) (cbrt.f64 a) (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 a (sqrt.f64 (neg.f64 (pow.f64 b #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) b (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
Outputs
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
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(fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) b (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 a #s(literal 2 binary64)))
(-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))

eval222.0ms (4.6%)

Compiler

Compiled 10503 to 7398 computations (29.6% saved)

prune74.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4543457
Fresh000
Picked011
Done000
Total4544458
Accuracy
100.0%
Counts
458 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓52.9%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
▶53.3%
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
▶99.1%
a
Compiler

Compiled 34 to 21 computations (38.2% saved)

localize116.0ms (2.4%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (-.f64 a b))
✓100.0%
(sqrt.f64 (+.f64 b a))
✓99.3%
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓53.3%
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
Results
101.0ms256×0valid
Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-sqrt: 77.0ms (88.8% of total)
ival-mult: 5.0ms (5.8% of total)
ival-add: 3.0ms (3.5% of total)
ival-sub: 2.0ms (2.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series102.0ms (2.1%)

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

24 calls:

TimeVariablePointExpression
79.0ms
a
@inf
(sqrt (+ b a))
2.0ms
a
@-inf
(sqrt (+ b a))
1.0ms
a
@0
(sqrt (* (- a b) (+ a b)))
1.0ms
a
@inf
(sqrt (* (- a b) (+ a b)))
1.0ms
a
@-inf
(sqrt (* (- a b) (+ a b)))

rewrite113.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1023×log1p-expm1-u
1023×expm1-log1p-u
516×fma-define
168×fma-neg
152×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016104
123892
2300492
Stop Event
1×node limit
Counts
4 → 145
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (+.f64 b a))
(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 (-.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 (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 (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 (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))
(pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 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 a) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(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 (-.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 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 a) (sqrt.f64 (-.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 (-.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 a) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(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 (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 (-.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))
(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))))
(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 a) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(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 (-.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 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 a) (sqrt.f64 (-.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 (-.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 a) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(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 (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 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (hypot.f64 b (sqrt.f64 (*.f64 a (-.f64 a b)))))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (hypot.f64 a (sqrt.f64 (*.f64 b (-.f64 b a)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sqrt.f64 (-.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)))

simplify464.0ms (9.6%)

Algorithm
1×egg-herbie
Rules
543×fma-define
439×associate-*r*
415×*-commutative
376×associate-*l*
344×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062113721
1180111597
2726910629
Stop Event
1×node limit
Counts
241 → 311
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)))))
a
(+.f64 a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a))) a)))
(+.f64 a (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))) a)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) a)))))
(+.f64 a (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) a)) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) a)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))))) (+.f64 a (*.f64 #s(literal -1 binary64) a)))) (pow.f64 a #s(literal 3 binary64)))))))))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))))) b)))))
(*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) b)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))))) b)))))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 b (*.f64 #s(literal -1 binary64) b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (*.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
a
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) a))))
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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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(*.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 (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 (-.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 (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 (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 (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))
(pow.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) #s(literal 1/2 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 a) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(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 (-.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 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 a) (sqrt.f64 (-.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 (-.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 a) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(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 (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 (-.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))
(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))))
(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 a) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(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 (-.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 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 a) (sqrt.f64 (-.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 (-.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 a) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)))
(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 (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 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (hypot.f64 b (sqrt.f64 (*.f64 a (-.f64 a b)))))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (hypot.f64 a (sqrt.f64 (*.f64 b (-.f64 b a)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sqrt.f64 (-.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 (/.f64 a b) (/.f64 (*.f64 #s(literal 0 binary64) b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.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 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b)) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) b) #s(literal 0 binary64))))
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a
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a
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(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(hypot.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) a)
(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))))))
(expm1.f64 (log1p.f64 (hypot.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) a)))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.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))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.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 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (sqrt.f64 (*.f64 a (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 b (-.f64 a b))) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.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 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.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 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.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 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 a)) (sqrt.f64 (*.f64 b (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.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 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.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 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (*.f64 a (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (-.f64 a b))) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.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 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (sqrt.f64 (*.f64 a (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 b)) (*.f64 (sqrt.f64 a) (sqrt.f64 (-.f64 a b))))
(hypot.f64 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.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 (sqrt.f64 (*.f64 a (-.f64 a b))) (sqrt.f64 (*.f64 b (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 b (-.f64 a b)) (*.f64 a (-.f64 a b))))
(sqrt.f64 (+.f64 (*.f64 a (-.f64 a b)) (*.f64 b (-.f64 a b))))
(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 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) a)
(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 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) a)
(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))))
(hypot.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) a)
(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 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) a)
(-.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 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) a) (sqrt.f64 (-.f64 a b)))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (hypot.f64 b (sqrt.f64 (*.f64 a (-.f64 a b)))))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (hypot.f64 a (sqrt.f64 (*.f64 b (-.f64 b a)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (sqrt.f64 (-.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 (hypot.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) a) (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))

eval86.0ms (1.8%)

Compiler

Compiled 7769 to 5061 computations (34.9% saved)

prune192.0ms (4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3101311
Fresh000
Picked033
Done011
Total3105315
Accuracy
100.0%
Counts
315 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(*.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))))
✓99.3%
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓52.9%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
✓53.3%
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
✓99.1%
a
Compiler

Compiled 52 to 32 computations (38.5% saved)

localize104.0ms (2.2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(pow.f64 (+.f64 a b) #s(literal 1/4 binary64))
100.0%
(sqrt.f64 (-.f64 a b))
✓99.6%
(*.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))))
✓99.5%
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 a b)))
Results
90.0ms256×0valid
Compiler

Compiled 47 to 18 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 44.0ms (58.3% of total)
ival-pow: 25.0ms (33.1% of total)
ival-add: 2.0ms (2.7% of total)
ival-sqrt: 2.0ms (2.7% of total)
ival-sub: 1.0ms (1.3% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series29.0ms (0.6%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 a b)))>
#<alt (*.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))))>
#<alt (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))>
Outputs
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -3/64 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 9 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 9 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 7/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 9 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 9 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/4 binary64)) b)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/4 binary64)) b)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/4 binary64)) b)) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64))))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/4 binary64)) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64)) (pow.f64 b #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/4 binary64)) b)) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 13 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 b #s(literal 3 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 a) (*.f64 b (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 2 binary64)))))))) a)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 a) (*.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 3 binary64))))))))) a)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 a) (*.f64 b (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 2 binary64))))))))) a)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/4 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/4 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 3/64 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal 7/128 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64))))))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64)))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (*.f64 a (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (*.f64 a (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (/.f64 a (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 9 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 2 binary64))))))))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 9 binary64))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (*.f64 a (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (/.f64 a (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 9 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 2 binary64)))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 13 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 3 binary64)))))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 b) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (sqrt.f64 #s(literal -1 binary64)))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 b))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 2 binary64)))))))) b)) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 a (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))) b)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (sqrt.f64 #s(literal -1 binary64)))))))>
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#<alt a>
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#<alt a>
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#<alt (*.f64 b (sqrt.f64 #s(literal -1 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))>
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#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a))))))) a)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 2 binary64))))) a)) (*.f64 #s(literal -1/4 binary64) (*.f64 b (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a))))))))) a)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 3 binary64)))))) a)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 2 binary64)))))) a)) (*.f64 #s(literal -1/4 binary64) (*.f64 b (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a))))))))) a)))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64)) b)) (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) #s(literal 1/4 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal 7/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 11 binary64))) #s(literal 1/4 binary64)) b)))))) (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64)))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) a)) (pow.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) a)) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) a)) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 11 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 3 binary64)))))) (pow.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 a (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b))))))) b)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 2 binary64))))) b)) (*.f64 #s(literal -1/4 binary64) (*.f64 a (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b))))))))) b)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 3 binary64)))))) b)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 2 binary64)))))) b)) (*.f64 #s(literal -1/4 binary64) (*.f64 a (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b))))))))) b)))>
Calls

18 calls:

TimeVariablePointExpression
6.0ms
b
@-inf
(* (pow (+ a b) 1/4) (sqrt (- a b)))
3.0ms
a
@0
(* (pow (+ a b) 1/4) (sqrt (- a b)))
3.0ms
a
@-inf
(* (pow (+ a b) 1/4) (sqrt (- a b)))
2.0ms
b
@inf
(* (pow (+ a b) 1/4) (sqrt (- a b)))
2.0ms
a
@inf
(* (pow (+ a b) 1/4) (sqrt (- a b)))

rewrite99.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
869×log1p-expm1-u
869×expm1-log1p-u
534×prod-diff
460×log-prod
270×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015125
118987
2249087
Stop Event
1×node limit
Counts
3 → 56
Calls
Call 1
Inputs
(*.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))))
(pow.f64 (+.f64 a b) #s(literal 1/4 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #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 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 2 binary64))
(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 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #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)))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/8 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1/4 binary64)))
(sqrt.f64 (sqrt.f64 (+.f64 a b)))
(log.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 a b))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 a b))) #s(literal 1 binary64)))

simplify130.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
863×associate-*r*
771×associate-*l*
757×fma-define
437×distribute-lft-in
432×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071411742
122049980
Stop Event
1×node limit
Counts
128 → 249
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))
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(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64))))
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a
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(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 b (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a))))))) a)))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 2 binary64))))) a)) (*.f64 #s(literal -1/4 binary64) (*.f64 b (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a))))))))) a)))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 3 binary64)))))) a)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 b #s(literal 2 binary64)))))) a)) (*.f64 #s(literal -1/4 binary64) (*.f64 b (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a))))))))) a)))
(pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64)) b)) (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64)))
(+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) #s(literal 1/4 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64)))
(+.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal 7/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 11 binary64))) #s(literal 1/4 binary64)) b)))))) (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) a)) (pow.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) a)) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) a)) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 11 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 3 binary64)))))) (pow.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 a (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b))))))) b)))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 2 binary64))))) b)) (*.f64 #s(literal -1/4 binary64) (*.f64 a (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b))))))))) b)))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 3 binary64)))))) b)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 2 binary64)))))) b)) (*.f64 #s(literal -1/4 binary64) (*.f64 a (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) b))))))))) b)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #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 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 2 binary64))
(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 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #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)))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/8 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1/4 binary64)))
(sqrt.f64 (sqrt.f64 (+.f64 a b)))
(log.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 a b))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 a b))) #s(literal 1 binary64)))
Outputs
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (pow.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64))))
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(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 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))))
(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 (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))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 b a)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 b a)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) #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))))))
(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 (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 #s(literal 0 binary64) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(pow.f64 (+.f64 b a) #s(literal 1/4 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 b a) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(pow.f64 (+.f64 b a) #s(literal 1/4 binary64))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 a b))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a b))) (cbrt.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/8 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/8 binary64)))
(pow.f64 (+.f64 b a) #s(literal 1/4 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(pow.f64 (+.f64 b a) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (+.f64 a b)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (+.f64 b a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1/2 binary64))
(sqrt.f64 (sqrt.f64 (+.f64 b a)))
(sqrt.f64 (sqrt.f64 (+.f64 a b)))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1/2 binary64))
(sqrt.f64 (sqrt.f64 (+.f64 b a)))
(log.f64 (exp.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))
(pow.f64 (+.f64 b a) #s(literal 1/4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))))
(pow.f64 (+.f64 b a) #s(literal 1/4 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(pow.f64 (+.f64 b a) #s(literal 1/4 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))))
(pow.f64 (+.f64 b a) #s(literal 1/4 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 a b))))
(pow.f64 (+.f64 b a) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 a b))) #s(literal 1 binary64)))
(pow.f64 (+.f64 b a) #s(literal 1/4 binary64))

eval196.0ms (4.1%)

Compiler

Compiled 16843 to 12105 computations (28.1% saved)

prune74.0ms (1.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4271428
Fresh000
Picked011
Done044
Total4276433
Accuracy
100.0%
Counts
433 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.9%
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))))
✓99.2%
(*.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))))
✓99.3%
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓52.9%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
✓53.3%
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
✓99.1%
a
Compiler

Compiled 73 to 46 computations (37% saved)

localize98.0ms (2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.6%
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))))
✓99.5%
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64)))
✓99.2%
(cbrt.f64 (sqrt.f64 (-.f64 a b)))
✓98.9%
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))
Results
76.0ms256×0valid
Compiler

Compiled 66 to 26 computations (60.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-pow: 43.0ms (75.4% of total)
ival-mult: 5.0ms (8.8% of total)
ival-add: 2.0ms (3.5% of total)
ival-sqrt: 2.0ms (3.5% of total)
const: 2.0ms (3.5% of total)
ival-cbrt: 2.0ms (3.5% of total)
ival-sub: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series25.0ms (0.5%)

Counts
4 → 96
Calls
Call 1
Inputs
#<alt (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (sqrt.f64 (-.f64 a b)))>
#<alt (*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))))>
Outputs
#<alt (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 a)>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b))))>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 b #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 a)>
#<alt (+.f64 (sqrt.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) b)))>
#<alt (+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)))))>
#<alt (+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) b)))))))>
#<alt (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (pow.f64 (*.f64 #s(literal -1 binary64) b) #s(literal 1/6 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/6 binary64)) a)) (pow.f64 (*.f64 #s(literal -1 binary64) b) #s(literal 1/6 binary64)))>
#<alt (+.f64 (*.f64 a (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/6 binary64))) (*.f64 #s(literal -5/72 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 11 binary64))) #s(literal 1/6 binary64)) a)))) (pow.f64 (*.f64 #s(literal -1 binary64) b) #s(literal 1/6 binary64)))>
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#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))>
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#<alt (*.f64 b (sqrt.f64 #s(literal -1 binary64)))>
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#<alt a>
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#<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)))))>
Calls

24 calls:

TimeVariablePointExpression
3.0ms
b
@inf
(cbrt (sqrt (- a b)))
3.0ms
a
@-inf
(cbrt (sqrt (- a b)))
1.0ms
a
@inf
(cbrt (sqrt (- a b)))
1.0ms
a
@-inf
(* (pow (+ a b) 1/4) (pow (cbrt (sqrt (- a b))) 3))
1.0ms
a
@0
(cbrt (sqrt (- a b)))

rewrite108.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
943×log1p-expm1-u
943×expm1-log1p-u
534×prod-diff
288×fma-define
164×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018144
1231104
22797104
Stop Event
1×node limit
Counts
4 → 83
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))))
Outputs
(-.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 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 a b)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a b)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a b))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))) (cbrt.f64 (-.f64 a b))))
(*.f64 (cbrt.f64 (-.f64 a b)) (pow.f64 (-.f64 a b) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 a b))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(*.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 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 a b))) #s(literal 3 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 2 binary64))) (pow.f64 (-.f64 a b) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 a b)) #s(literal 1 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 a b)) (cbrt.f64 (cbrt.f64 (-.f64 a b)))) (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 a b)) (pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1/6 binary64)))
(/.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 (hypot.f64 b (sqrt.f64 (*.f64 a b)))))
(sqrt.f64 (-.f64 a b))
(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)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 a b) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 a b))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a b))) (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (-.f64 a b) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (-.f64 a b)))
(log.f64 (exp.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)))
(cbrt.f64 (*.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 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 a b) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(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 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #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)))

simplify135.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
988×fma-define
536×distribute-lft-in
530×distribute-rgt-in
399×*-commutative
283×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091814471
1285512515
Stop Event
1×node limit
Counts
179 → 332
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
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a
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a
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(sqrt.f64 (-.f64 a b))
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(*.f64 (pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (-.f64 a b) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (-.f64 a b)))
(log.f64 (exp.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 a b) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)))
(cbrt.f64 (*.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 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 a b) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64)))))) #s(literal 1 binary64))
(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 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #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)))
Outputs
(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (fma.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 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 a (fma.f64 a (fma.f64 #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) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 a)
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))))))
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.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 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 b #s(literal 3 binary64))))))))
(*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (fma.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 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))))))
(*.f64 a (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))) (pow.f64 b #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 a))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 b))) (neg.f64 a))
(*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 a) (fma.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)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 b)))) (neg.f64 a))
(*.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))))))))
(*.f64 (neg.f64 a) (fma.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)))) (fma.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)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (neg.f64 (pow.f64 b #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (neg.f64 (pow.f64 b #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 b))))) (neg.f64 a))
(sqrt.f64 a)
(+.f64 (sqrt.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) b)))
(+.f64 (sqrt.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (sqrt.f64 a))
(+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b)))))
(+.f64 (sqrt.f64 a) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/8 binary64) (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))))))
(fma.f64 b (fma.f64 #s(literal -1/8 binary64) (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/2 binary64))) (sqrt.f64 a))
(+.f64 (sqrt.f64 a) (*.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) b)))))))
(+.f64 (sqrt.f64 a) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 b (fma.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 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))))
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a
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a
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(sqrt.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 b a)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 b a)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) #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))))))
(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 (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))))

eval177.0ms (3.7%)

Compiler

Compiled 13417 to 9827 computations (26.8% saved)

prune53.0ms (1.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3320332
Fresh000
Picked011
Done055
Total3326338
Accuracy
100.0%
Counts
338 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.9%
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))))
✓99.2%
(*.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))))
✓99.3%
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓52.9%
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
✓53.3%
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
✓99.1%
a
Compiler

Compiled 136 to 75 computations (44.9% saved)

regimes18.0ms (0.4%)

Counts
6 → 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 b a)) (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 a b) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 a b))) #s(literal 3 binary64))))
Outputs
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
Calls

6 calls:

4.0ms
a
3.0ms
b
3.0ms
(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
3.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
3.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
99.3%1a
99.3%1b
99.3%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.3%1(-.f64 (*.f64 a a) (*.f64 b b))
99.3%1(*.f64 a a)
99.3%1(*.f64 b b)
Compiler

Compiled 35 to 21 computations (40% saved)

regimes12.0ms (0.2%)

Accuracy

Total -29.8b remaining (-5076.5%)

Threshold costs -29.8b (-5076.5%)

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:

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
99.1%1a
99.1%1b
99.1%1(sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))
99.1%1(-.f64 (*.f64 a a) (*.f64 b b))
99.1%1(*.f64 a a)
99.1%1(*.f64 b b)
Compiler

Compiled 35 to 21 computations (40% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
11743
22243
32443
42543
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
a
Outputs
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
a

soundness355.0ms (7.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
074718157
1170217248
2473114957
01254
114754
2191052
Stop Event
1×done
1×node limit
1×node limit
Compiler

Compiled 92 to 43 computations (53.3% saved)

preprocess33.0ms (0.7%)

Remove

(abs b)

Compiler

Compiled 206 to 128 computations (37.9% saved)

end0.0ms (0%)

Profiling

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