Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

Time bar (total: 7.6s)

analyze54.0ms (0.7%)

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
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
66.7%49.9%25%0.1%0%25%0%7
66.7%49.9%25%0.1%0%25%0%8
66.7%49.9%25%0.1%0%25%0%9
80%49.9%12.5%0.1%0%37.4%0%10
80%49.9%12.5%0.1%0%37.4%0%11
80%49.9%12.5%0.1%0%37.4%0%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 7.0ms (30.7% of total)
ival-mult: 7.0ms (30.7% of total)
ival-sqrt: 4.0ms (17.5% of total)
ival-add: 3.0ms (13.2% of total)
const: 1.0ms (4.4% of total)

sample1.2s (15.8%)

Results
664.0ms8256×0valid
145.0ms2031×0invalid
Precisions
Click to see histograms. Total time spent on operations: 491.0ms
ival-mult: 181.0ms (36.9% of total)
ival-add: 102.0ms (20.8% of total)
ival-div: 97.0ms (19.8% of total)
ival-sqrt: 87.0ms (17.7% of total)
const: 19.0ms (3.9% of total)
backward-pass: 4.0ms (0.8% of total)
Bogosity

preprocess187.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
969×fma-neg
453×fma-define
244×unsub-neg
182×distribute-lft-neg-in
156×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044376
1128332
2369332
3781332
41343332
52233332
62744332
73237332
83551332
93704332
103785332
113835332
123835332
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 y (*.f64 x (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 z (*.f64 y (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 z (sqrt.f64 y))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x)))
(*.f64 (fma.f64 (sqrt.f64 z) (neg.f64 y) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (sqrt.f64 z) (neg.f64 y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) (neg.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (neg.f64 z)) x))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (sqrt.f64 z) (neg.f64 y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) (neg.f64 y) x))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x)))
(*.f64 (fma.f64 (sqrt.f64 z) (neg.f64 y) x) #s(literal -1/2 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z))))))
(*.f64 #s(literal -1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 (neg.f64 z)) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 y (*.f64 x (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 x (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 z) y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 z (*.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 x) z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 z (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 z (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 z (sqrt.f64 y) x))

explain97.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 y (sqrt.f64 z))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
00-0-(+.f64 x (*.f64 y (sqrt.f64 z)))
00-0-(sqrt.f64 z)
00-0-z
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Results
59.0ms512×256valid
Compiler

Compiled 81 to 42 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 8.0ms (33% of total)
ival-mult: 8.0ms (33% of total)
ival-sqrt: 4.0ms (16.5% of total)
ival-add: 3.0ms (12.4% of total)
const: 2.0ms (8.3% of total)

eval0.0ms (0%)

Compiler

Compiled 18 to 11 computations (38.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

localize34.0ms (0.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x (*.f64 y (sqrt.f64 z)))
✓99.6%
(*.f64 y (sqrt.f64 z))
Results
25.0ms256×256valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (68% of total)
ival-sqrt: 2.0ms (15.1% of total)
ival-add: 1.0ms (7.6% of total)
const: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
2 → 30
Calls
Call 1
Inputs
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
Calls

15 calls:

TimeVariablePointExpression
4.0ms
y
@0
(* y (sqrt z))
1.0ms
z
@-inf
(* y (sqrt z))
1.0ms
y
@inf
(* y (sqrt z))
0.0ms
z
@inf
(* y (sqrt z))
0.0ms
z
@0
(* y (sqrt z))

rewrite285.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
791×prod-diff
626×log1p-expm1-u
626×expm1-log1p-u
589×unpow-prod-down
319×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01343
113639
2171939
Stop Event
1×node limit
Counts
2 → 96
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (sqrt.f64 z) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (sqrt.f64 z)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) x)
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 z) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (*.f64 y (cbrt.f64 z)) (pow.f64 z #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x)

simplify165.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
718×fma-neg
674×fma-define
391×times-frac
265×*-commutative
221×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02755098
16024532
216894011
360523978
Stop Event
1×node limit
Counts
126 → 119
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
x
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (sqrt.f64 z) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (sqrt.f64 z)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) x)
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 z) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (*.f64 y (cbrt.f64 z)) (pow.f64 z #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
x
(*.f64 y (sqrt.f64 z))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 z)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 3 binary64)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (fma.f64 y (sqrt.f64 z) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
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(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) x)
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (*.f64 y (cbrt.f64 z)) (pow.f64 z #s(literal 1/6 binary64)) x)
(fma.f64 (cbrt.f64 z) (*.f64 y (pow.f64 z #s(literal 1/6 binary64))) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)) x)
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)

eval76.0ms (1%)

Compiler

Compiled 1837 to 867 computations (52.8% saved)

prune28.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New10811119
Fresh000
Picked011
Done000
Total10812120
Accuracy
100.0%
Counts
120 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
54.5%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x))
48.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
▶99.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))))
✓99.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
▶60.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
67.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
97.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))))
80.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
88.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
▶85.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
▶49.1%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 347 to 250 computations (28% saved)

localize466.0ms (6.2%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64)))
99.6%
(*.f64 y (sqrt.f64 z))
✓99.1%
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
✓87.4%
(cbrt.f64 (*.f64 y (sqrt.f64 z)))
✓100.0%
(+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
✓88.8%
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
✓65.1%
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
✓100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
✓95.1%
(*.f64 (/.f64 y x) (sqrt.f64 z))
✓88.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
✓99.7%
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
✓99.7%
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
Results
293.0ms256×256valid
Compiler

Compiled 170 to 80 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-pow: 92.0ms (48.4% of total)
ival-mult: 32.0ms (16.8% of total)
ival-sqrt: 32.0ms (16.8% of total)
ival-add: 14.0ms (7.4% of total)
<compiled-spec>: 11.0ms (5.8% of total)
const: 4.0ms (2.1% of total)
ival-div: 2.0ms (1.1% of total)
ival-cbrt: 2.0ms (1.1% of total)

series206.0ms (2.7%)

Counts
11 → 284
Calls
Call 1
Inputs
#<alt (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)>
#<alt (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 z (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 y (sqrt.f64 z)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))>
#<alt (+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64)))>
Outputs
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 y (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) z)))))))>
#<alt (*.f64 y (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) z)))))))>
#<alt (*.f64 y (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) z)))))))>
#<alt (*.f64 y (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) z)))))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
Calls

84 calls:

TimeVariablePointExpression
65.0ms
z
@-inf
(* (pow z 1/4) y)
29.0ms
z
@0
(* (pow z 1/4) y)
26.0ms
y
@0
(cbrt (* y (sqrt z)))
24.0ms
y
@0
(* (pow z 1/4) y)
9.0ms
z
@0
(cbrt (* y (sqrt z)))

rewrite204.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
1059×log1p-expm1-u
313×expm1-log1p-u
186×add-cube-cbrt
183×add-exp-log
183×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031321
1448250
26143250
Stop Event
1×node limit
Counts
11 → 344
Calls
Call 1
Inputs
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
(+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 y (sqrt.f64 z)))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64)))
Outputs
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (sqrt.f64 z)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
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(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) x)
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)

simplify397.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
499×fma-neg
421×distribute-lft-neg-in
418×distribute-rgt-neg-in
361×associate-*r*
338×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056121317
1123119953
2407419827
Stop Event
1×node limit
Counts
628 → 327
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
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x
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(+.f64 x (*.f64 y (sqrt.f64 z)))
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x
x
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#s(literal 1 binary64)
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
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(*.f64 (/.f64 y x) (sqrt.f64 z))
(/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)
(/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)
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#s(literal 1 binary64)
#s(literal 1 binary64)
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(*.f64 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 y (sqrt.f64 z))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) y)
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (*.f64 (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 1/8 binary64)))) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 1/8 binary64)))))
(*.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 1/8 binary64))))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 z)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)) (log.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (sqrt.f64 z)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) x)
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)
Outputs
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 y (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) z)))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(*.f64 y (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/4 binary64))))
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(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 y (sqrt.f64 z))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) #s(literal 4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 1/8 binary64)))) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 1/8 binary64))))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(*.f64 y (sqrt.f64 z))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(*.f64 y (sqrt.f64 z))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 z))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 y (sqrt.f64 z))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 y (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(*.f64 y (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)) (log.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
(*.f64 y (sqrt.f64 z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (*.f64 (sqrt.f64 z) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (*.f64 (sqrt.f64 z) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (*.f64 (sqrt.f64 z) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (*.f64 (sqrt.f64 z) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (*.f64 (sqrt.f64 z) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (*.f64 (sqrt.f64 z) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (sqrt.f64 z)) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (*.f64 (sqrt.f64 z) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (*.f64 (sqrt.f64 z) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(fma.f64 y (sqrt.f64 z) x)
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(fma.f64 y (sqrt.f64 z) x)
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) x)
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 y (sqrt.f64 z) x)

eval90.0ms (1.2%)

Compiler

Compiled 5715 to 3133 computations (45.2% saved)

prune68.0ms (0.9%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New3429351
Fresh426
Picked235
Done011
Total34815363
Accuracy
100.0%
Counts
363 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
▶85.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))) x))
✓99.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))))
▶99.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
✓99.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓60.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
80.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
▶88.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
▶51.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
78.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (neg.f64 z) (*.f64 y (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))) #s(literal 1 binary64))))
85.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))))
37.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 y x) (sqrt.f64 z))))
82.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))))
▶85.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))))
✓49.1%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 412 to 300 computations (27.2% saved)

localize407.0ms (5.4%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))
✓99.5%
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
✓97.5%
(*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
✓88.3%
(*.f64 x (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))))
✓100.0%
(+.f64 (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))) x)
✓99.7%
(/.f64 (sqrt.f64 z) x)
✓95.8%
(*.f64 y (/.f64 (sqrt.f64 z) x))
✓81.1%
(*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x)))
✓100.0%
(+.f64 (sqrt.f64 z) (/.f64 x y))
✓88.4%
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
✓100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
99.6%
(*.f64 y (sqrt.f64 z))
✓100.0%
(+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
99.7%
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
✓99.4%
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
Results
348.0ms256×256valid
Compiler

Compiled 215 to 91 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 298.0ms
ival-mult: 101.0ms (33.9% of total)
ival-pow: 95.0ms (31.9% of total)
ival-div: 87.0ms (29.2% of total)
ival-add: 10.0ms (3.4% of total)
const: 4.0ms (1.3% of total)
ival-sqrt: 2.0ms (0.7% of total)

series38.0ms (0.5%)

Counts
13 → 333
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))>
#<alt (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x)))>
#<alt (*.f64 y (/.f64 (sqrt.f64 z) x))>
#<alt (/.f64 (sqrt.f64 z) x)>
#<alt (+.f64 (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))) x)>
#<alt (*.f64 x (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
Outputs
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
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#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (/.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) x)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
Calls

105 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(* y (+ (sqrt z) (/ x y)))
2.0ms
y
@-inf
(* x (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
1.0ms
z
@0
(* x (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
1.0ms
z
@-inf
(/ (sqrt z) x)
1.0ms
z
@0
(* y (+ (sqrt z) (/ x y)))

rewrite232.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
279×associate-*r*
243×log1p-expm1-u
243×expm1-log1p-u
240×add-cube-cbrt
237×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033417
1559339
Stop Event
1×node limit
Counts
13 → 442
Calls
Call 1
Inputs
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(+.f64 (sqrt.f64 z) (/.f64 x y))
(*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(/.f64 (sqrt.f64 z) x)
(+.f64 (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))) x)
(*.f64 x (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) y)
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) y))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) y))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (*.f64 y (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (*.f64 y (sqrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)))) (sqrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(*.f64 (*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (+.f64 z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
(/.f64 (*.f64 y (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 (sqrt.f64 z) (/.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))) y) (+.f64 z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
(/.f64 (*.f64 (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 z) (/.f64 x y)))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
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(pow.f64 (pow.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 (sqrt.f64 z) (/.f64 y x))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (sqrt.f64 z) (/.f64 y x))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 z) (/.f64 y x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (/.f64 y x))) (sqrt.f64 (*.f64 (sqrt.f64 z) (/.f64 y x))) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 z) x))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 z) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sqrt.f64 z))))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 z) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))
(sqrt.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 z) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 z) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64))) (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64))) (pow.f64 y #s(literal -2 binary64))) (/.f64 (sqrt.f64 z) (*.f64 y x)))))
(*.f64 (-.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64))) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 y (sqrt.f64 z) x) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64))) (pow.f64 y #s(literal -2 binary64))) (/.f64 (sqrt.f64 z) (*.f64 y x))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) (-.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64))) (-.f64 (+.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64))) (pow.f64 y #s(literal -2 binary64))) (/.f64 (sqrt.f64 z) (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 z) (*.f64 y x)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64))) (pow.f64 y #s(literal -2 binary64))) (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 z) (neg.f64 y)) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (+.f64 y (*.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64))) (*.f64 (/.f64 x (sqrt.f64 z)) y))
(/.f64 (+.f64 (neg.f64 y) (*.f64 (/.f64 x (sqrt.f64 z)) #s(literal -1 binary64))) (*.f64 (/.f64 x (sqrt.f64 z)) (neg.f64 y)))
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 z)) y) (*.f64 y (/.f64 x (sqrt.f64 z))))
(/.f64 (+.f64 (neg.f64 x) (*.f64 y (neg.f64 (sqrt.f64 z)))) (*.f64 y (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 z))) (*.f64 (neg.f64 y) x))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 z))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 x (sqrt.f64 z))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)))) (neg.f64 (-.f64 (+.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64))) (pow.f64 y #s(literal -2 binary64))) (/.f64 (sqrt.f64 z) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64))) (pow.f64 y #s(literal -2 binary64)))) (neg.f64 (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 z (pow.f64 x #s(literal -2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))
(pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (sqrt.f64 z) x))
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 z) x)) (sqrt.f64 (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y))

simplify355.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
840×fma-neg
461×associate-*r*
459×exp-prod
445×associate-*l*
293×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081128423
1185527523
2695427523
Stop Event
1×node limit
Counts
775 → 500
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
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(fma.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (sqrt.f64 z) x))
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 z) x)) (sqrt.f64 (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y) (/.f64 (neg.f64 x) z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y) (/.f64 (neg.f64 x) z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y) (/.f64 (neg.f64 x) z)) (neg.f64 z))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (*.f64 y (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (*.f64 y (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (*.f64 y (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (*.f64 y (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y) (/.f64 (neg.f64 x) z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y) (/.f64 (neg.f64 x) z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y) (/.f64 (neg.f64 x) z)) (neg.f64 z))
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(sqrt.f64 z)
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (neg.f64 (*.f64 y z)))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (neg.f64 (*.f64 y z)))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (neg.f64 (*.f64 y z)))) (neg.f64 z))
(sqrt.f64 z)
(/.f64 x y)
(*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))
(fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))
(*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))
(fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))
(*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
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(/.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))
(fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))
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(/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)
(/.f64 (fma.f64 y (sqrt.f64 z) x) y)
(/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)
(/.f64 (fma.f64 y (sqrt.f64 z) x) y)
(/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)
(/.f64 (fma.f64 y (sqrt.f64 z) x) y)
(sqrt.f64 z)
(sqrt.f64 z)
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
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(*.f64 y (sqrt.f64 z))
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(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (sqrt.f64 z) x))
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 z) x)) (cbrt.f64 (*.f64 z (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 z) x)) (sqrt.f64 (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x))

eval124.0ms (1.6%)

Compiler

Compiled 9506 to 4651 computations (51.1% saved)

prune113.0ms (1.5%)

Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New53511546
Fresh156
Picked235
Done224
Total54021561
Accuracy
100.0%
Counts
561 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 y x) (sqrt.f64 z)) x) x))
▶85.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 y x) (/.f64 x (sqrt.f64 z))) x))
▶94.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x)) x))
✓85.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))) x))
▶85.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) x))
✓99.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
79.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 y x)))
80.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
74.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
▶37.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x y)))
✓88.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
75.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))))
✓51.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
78.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (neg.f64 z) (*.f64 y (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))) #s(literal 1 binary64))))
85.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))))
37.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 y x) (sqrt.f64 z))))
82.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))))
49.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) y))))
▶71.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))))))
16.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
✓49.1%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 578 to 407 computations (29.6% saved)

localize285.0ms (3.8%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓97.8%
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
✓97.5%
(*.f64 y (*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))))
✓88.3%
(*.f64 x (*.f64 y (*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))))
✓84.0%
(*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
✓100.0%
(+.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) x)
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
✓95.8%
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
✓81.1%
(*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))))
✓100.0%
(+.f64 (/.f64 (*.f64 y x) (/.f64 x (sqrt.f64 z))) x)
✓99.7%
(/.f64 x (sqrt.f64 z))
✓78.9%
(/.f64 (*.f64 y x) (/.f64 x (sqrt.f64 z)))
✓74.2%
(*.f64 y (/.f64 x y))
✓100.0%
(+.f64 (*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x)) x)
99.7%
(/.f64 (sqrt.f64 z) x)
✓99.6%
(*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x))
✓87.2%
(*.f64 (/.f64 (sqrt.f64 z) x) x)
Results
213.0ms256×256valid
Compiler

Compiled 277 to 121 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-div: 72.0ms (46.6% of total)
ival-mult: 49.0ms (31.7% of total)
ival-sqrt: 17.0ms (11% of total)
ival-add: 12.0ms (7.8% of total)
const: 4.0ms (2.6% of total)

series40.0ms (0.5%)

Counts
14 → 468
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (sqrt.f64 z) x) x)>
#<alt (*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x))>
#<alt (+.f64 (*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x)) x)>
#<alt (*.f64 y (/.f64 x y))>
#<alt (/.f64 (*.f64 y x) (/.f64 x (sqrt.f64 z)))>
#<alt (/.f64 x (sqrt.f64 z))>
#<alt (+.f64 (/.f64 (*.f64 y x) (/.f64 x (sqrt.f64 z))) x)>
#<alt (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))))>
#<alt (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) x)>
#<alt (*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))>
#<alt (*.f64 x (*.f64 y (*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))))>
#<alt (*.f64 y (*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))))>
#<alt (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))>
Outputs
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
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#<alt (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y z))>
#<alt (/.f64 (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) y)>
#<alt (/.f64 (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) y)>
#<alt (/.f64 (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))) x)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
Calls

117 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(* y (* z (+ (/ (/ 1 y) z) (/ (sqrt (/ 1 z)) x))))
1.0ms
z
@0
(* z (+ (/ (/ 1 y) z) (/ (sqrt (/ 1 z)) x)))
1.0ms
z
@-inf
(* x (* y (* z (+ (/ (/ 1 y) z) (/ (sqrt (/ 1 z)) x)))))
1.0ms
z
@-inf
(* z (+ (/ (/ 1 y) z) (/ (sqrt (/ 1 z)) x)))
1.0ms
x
@0
(/ x (sqrt z))

rewrite158.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
318×associate-*r*
253×log1p-expm1-u
253×expm1-log1p-u
251×add-cube-cbrt
250×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036558
1692542
Stop Event
1×node limit
Counts
14 → 445
Calls
Call 1
Inputs
(*.f64 (/.f64 (sqrt.f64 z) x) x)
(*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x))
(+.f64 (*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x)) x)
(*.f64 y (/.f64 x y))
(/.f64 (*.f64 y x) (/.f64 x (sqrt.f64 z)))
(/.f64 x (sqrt.f64 z))
(+.f64 (/.f64 (*.f64 y x) (/.f64 x (sqrt.f64 z))) x)
(*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(+.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) x)
(*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))
(*.f64 x (*.f64 y (*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)))))
(*.f64 y (*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x))) #s(literal 1 binary64))
(/.f64 x (/.f64 x (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sqrt.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 z) x)))
(/.f64 (neg.f64 x) (/.f64 x (neg.f64 (sqrt.f64 z))))
(/.f64 (*.f64 (sqrt.f64 z) x) x)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) x)) (neg.f64 x))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x)))
(exp.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 x (sqrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)))) #s(literal 1 binary64))
(/.f64 (*.f64 x y) (/.f64 x (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sqrt.f64 z)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x (sqrt.f64 z)) (*.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (sqrt.f64 z)) (*.f64 x y))))
(/.f64 (*.f64 y (neg.f64 x)) (/.f64 x (neg.f64 (sqrt.f64 z))))
(/.f64 (neg.f64 (*.f64 y (neg.f64 x))) (/.f64 x (sqrt.f64 z)))
(pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 x (sqrt.f64 z)) (*.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) (/.f64 x (neg.f64 (sqrt.f64 z)))))
(neg.f64 (/.f64 (*.f64 y (neg.f64 x)) (/.f64 x (sqrt.f64 z))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 (/.f64 y x) (sqrt.f64 z)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (/.f64 y x) (sqrt.f64 z)) x))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 (/.f64 y x) (sqrt.f64 z)) x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x (*.f64 (/.f64 y x) (sqrt.f64 z)) x)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 (/.f64 y x) (sqrt.f64 z)) x)) (sqrt.f64 (fma.f64 x (*.f64 (/.f64 y x) (sqrt.f64 z)) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1 binary64)))))
(*.f64 (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z))))) (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 z))))
(pow.f64 (fma.f64 x (*.f64 (/.f64 y x) (sqrt.f64 z)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 (/.f64 y x) (sqrt.f64 z)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 (/.f64 y x) (sqrt.f64 z)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))) #s(literal 1 binary64)))
(+.f64 (*.f64 y (/.f64 z (*.f64 z y))) (*.f64 y (*.f64 z (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(+.f64 (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) z)) (*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) z)))
(+.f64 (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 (*.f64 y z) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))
(+.f64 (*.f64 (*.f64 y z) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(+.f64 (*.f64 (/.f64 z (*.f64 z y)) y) (*.f64 (*.f64 z (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) y))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) z) y) (*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) z) y))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 y z)) (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) (*.f64 y z)))
(+.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) (*.f64 y z)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 y z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))))
(exp.f64 (log.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) x (/.f64 z (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 z x)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 z y) x))))))
(*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) (fma.f64 (/.f64 #s(literal 1 binary64) y) x (/.f64 z (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 z y) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (-.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) x (/.f64 z (sqrt.f64 z))) (*.f64 z x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 z y) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))
(/.f64 (+.f64 (/.f64 x (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (*.f64 z y) #s(literal 1 binary64))) (*.f64 (*.f64 z y) (/.f64 x (pow.f64 z #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 z y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) (*.f64 (*.f64 z y) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (*.f64 z y) (pow.f64 z #s(literal -1/2 binary64)))) (*.f64 (*.f64 z y) x))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 z #s(literal -1/2 binary64)))) z) (*.f64 z (/.f64 x (pow.f64 z #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) (*.f64 z (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (pow.f64 z #s(literal -1/2 binary64)))) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 x (pow.f64 z #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 (neg.f64 z) (pow.f64 z #s(literal -1/2 binary64)))) (*.f64 (neg.f64 z) x))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) (*.f64 (neg.f64 z) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 z y) (*.f64 (/.f64 x (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 x (pow.f64 z #s(literal -1/2 binary64))) (*.f64 z y)))
(/.f64 (+.f64 z (*.f64 (/.f64 x (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 x (pow.f64 z #s(literal -1/2 binary64))) z))
(/.f64 (+.f64 (neg.f64 z) (*.f64 (/.f64 x (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) y))) (*.f64 (/.f64 x (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 z)))
(/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y)) x) (*.f64 x (*.f64 z y)))
(/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) (/.f64 x y)) (*.f64 x z))
(/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 z)) (*.f64 x (/.f64 #s(literal -1 binary64) y))) (*.f64 x (neg.f64 z)))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 z y)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 z y)))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))) (*.f64 (neg.f64 x) z))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 z)) (/.f64 x y)) (*.f64 (neg.f64 x) (neg.f64 z)))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) x (/.f64 z (sqrt.f64 z)))) (neg.f64 (*.f64 z x)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 z y) x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64))) (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64)))) (-.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z y))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z y))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))

simplify480.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
742×fma-neg
535×associate-*r*
498×associate-*l*
332×*-commutative
286×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085730555
1220726079
2786126079
Stop Event
1×node limit
Counts
913 → 522
Calls
Call 1
Inputs
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
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(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64))) (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64)))) (-.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z y))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z y))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
Outputs
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
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(*.f64 y (sqrt.f64 z))
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(*.f64 (sqrt.f64 z) y)
x
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(fma.f64 (sqrt.f64 z) y x)
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(+.f64 (*.f64 (sqrt.f64 z) y) x)
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(+.f64 x (*.f64 y (sqrt.f64 z)))
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(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 (sqrt.f64 z) y) x)
(fma.f64 (sqrt.f64 z) y x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
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(+.f64 x (*.f64 y (sqrt.f64 z)))
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(fma.f64 (sqrt.f64 z) y x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
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(fma.f64 (sqrt.f64 z) y x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
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(+.f64 (*.f64 (sqrt.f64 z) y) x)
(fma.f64 (sqrt.f64 z) y x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(+.f64 (*.f64 (sqrt.f64 z) y) x)
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(+.f64 (*.f64 (sqrt.f64 z) y) x)
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(+.f64 (*.f64 (sqrt.f64 z) y) x)
(fma.f64 (sqrt.f64 z) y x)
x
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(*.f64 y (sqrt.f64 z))
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(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) z)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z y))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z y))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) x))

eval173.0ms (2.3%)

Compiler

Compiled 11200 to 5762 computations (48.6% saved)

prune219.0ms (2.9%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New5719580
Fresh5611
Picked325
Done145
Total58021601
Accuracy
100.0%
Counts
601 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.6%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) y))
38.4%
(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 y x)))
39.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x y))))
84.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 y x) (sqrt.f64 z)) x) x))
✓85.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 y x) (/.f64 x (sqrt.f64 z))) x))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) x))
93.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x) y) x))
83.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.f64 y x) (/.f64 x (pow.f64 z #s(literal -1/2 binary64)))) x))
✓99.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
80.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
✓37.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x y)))
✓88.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
✓51.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
85.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))))
37.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 y x) (sqrt.f64 z))))
82.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))))
37.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))))
49.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) y))))
36.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
26.9%
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
✓49.1%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 777 to 472 computations (39.3% saved)

regimes84.0ms (1.1%)

Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x)) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) x) x) y) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 y x) (/.f64 x (sqrt.f64 z))) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 y x) (sqrt.f64 z)) x) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.f64 y x) (/.f64 x (pow.f64 z #s(literal -1/2 binary64)))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (neg.f64 z) (*.f64 y (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) x))
Calls

7 calls:

12.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
12.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
12.0ms
x
12.0ms
(sqrt.f64 z)
12.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(sqrt.f64 z)
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes23.0ms (0.3%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Calls

6 calls:

5.0ms
y
4.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
3.0ms
(sqrt.f64 z)
3.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.7%1(*.f64 y (sqrt.f64 z))
99.7%1(sqrt.f64 z)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes45.0ms (0.6%)

Counts
9 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
Calls

5 calls:

12.0ms
y
8.0ms
x
8.0ms
(sqrt.f64 z)
8.0ms
z
7.0ms
(*.f64 y (sqrt.f64 z))
Results
AccuracySegmentsBranch
74.6%3x
77.4%3y
68.8%4z
80.9%3(*.f64 y (sqrt.f64 z))
68.8%4(sqrt.f64 z)
Compiler

Compiled 24 to 18 computations (25% saved)

regimes10.0ms (0.1%)

Accuracy

Total -23.9b remaining (-73.4%)

Threshold costs -23.9b (-73.4%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
Calls

3 calls:

3.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
49.1%1z
49.1%1x
49.1%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
97.46351913228722
1194739064.3362887
0.0ms
-21560729310781.016
-14798311943774.385
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
5×*-commutative
2×+-commutative
2×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031166
143166
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -20000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 100 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -20000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 100 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
(if (or (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -20000000000000 binary64)) (not (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 100 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)

soundness1.1s (15.2%)

Rules
1059×log1p-expm1-u
969×fma-neg
791×prod-diff
742×fma-neg
626×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044376
1128332
2369332
3781332
41343332
52233332
62744332
73237332
83551332
93704332
103785332
113835332
123835332
036558
1692542
033417
1559339
085730555
1220726079
2786126079
01343
113639
2171939
031321
1448250
26143250
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 607 to 340 computations (44% saved)

preprocess59.0ms (0.8%)

Compiler

Compiled 120 to 74 computations (38.3% saved)

end0.0ms (0%)

Profiling

Loading profile data...