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

Time bar (total: 8.2s)

analyze58.0ms (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: 24.0ms
ival-div: 9.0ms (37.5% of total)
ival-mult: 7.0ms (29.1% of total)
ival-sqrt: 4.0ms (16.7% of total)
ival-add: 3.0ms (12.5% of total)
const: 1.0ms (4.2% of total)

sample1.7s (20.8%)

Results
1.1s7725×0valid
145.0ms2125×0invalid
50.0ms531×0infinite
Precisions
Click to see histograms. Total time spent on operations: 601.0ms
ival-div: 252.0ms (42% of total)
ival-mult: 165.0ms (27.5% of total)
ival-sqrt: 95.0ms (15.8% of total)
ival-add: 64.0ms (10.7% of total)
const: 19.0ms (3.2% of total)
backward-pass: 5.0ms (0.8% of total)
Bogosity

preprocess191.0ms (2.3%)

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) (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) (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) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))
(*.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 y (sqrt.f64 z))))
(*.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) (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 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)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 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) (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) (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) (fma.f64 z (sqrt.f64 y) x))

explain216.0ms (2.6%)

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
120.0ms484×256valid
3.0ms28×256infinite
Compiler

Compiled 81 to 42 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 10.0ms (38.3% of total)
ival-div: 7.0ms (26.8% of total)
ival-sqrt: 4.0ms (15.3% of total)
ival-add: 3.0ms (11.5% of total)
const: 2.0ms (7.7% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 13 to 10 computations (23.1% saved)

localize57.0ms (0.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x (*.f64 y (sqrt.f64 z)))
✓99.7%
(*.f64 y (sqrt.f64 z))
Results
34.0ms242×256valid
2.0ms14×256infinite
Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (42.5% of total)
ival-div: 4.0ms (28.3% of total)
ival-add: 2.0ms (14.2% of total)
ival-sqrt: 2.0ms (14.2% of total)
const: 1.0ms (7.1% of total)

series9.0ms (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
1.0ms
z
@-inf
(* y (sqrt z))
1.0ms
y
@0
(* y (sqrt z))
1.0ms
y
@inf
(* y (sqrt z))
0.0ms
z
@inf
(* y (sqrt z))
0.0ms
z
@0
(* y (sqrt z))

rewrite253.0ms (3.1%)

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 → 142
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))) (cbrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) (cbrt.f64 (*.f64 z (*.f64 y y))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) y))
(*.f64 (cbrt.f64 z) (pow.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) y) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 y (cbrt.f64 z)) (pow.f64 z #s(literal 1/6 binary64)))
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 y (cbrt.f64 z)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 y y))) #s(literal 1 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 z (*.f64 y y)) y) #s(literal 1/3 binary64)) (pow.f64 z #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 z (*.f64 y y)) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 (*.f64 z (*.f64 y y)) (cbrt.f64 (*.f64 z (*.f64 y y)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 z (*.f64 y y)) (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (*.f64 y y)))
(log.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 z)) (*.f64 #s(literal 3 binary64) (log.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 z)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) #s(literal 2 binary64)))
(+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) (cbrt.f64 (exp.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))) (/.f64 (*.f64 z (*.f64 y y)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))))
(*.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))
(*.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) (pow.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))))
(*.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(*.f64 (pow.f64 (*.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) (+.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))))
(/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))))
(/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 z (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))
(pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) (+.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))))
(log.f64 (*.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(exp.f64 (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 2 binary64)))
(fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) (cbrt.f64 (*.f64 z (*.f64 y y))) x)
(fma.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) x)
(fma.f64 (cbrt.f64 z) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 1/2 binary64))) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y (pow.f64 z #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)
(fma.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(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 (pow.f64 z #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) x)

simplify116.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
907×fma-define
463×times-frac
376×*-commutative
306×exp-prod
266×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03767077
18276144
222135973
374105879
Stop Event
1×node limit
Counts
172 → 181
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))))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))))
(log.f64 (*.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(exp.f64 (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 2 binary64)))
(fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) (cbrt.f64 (*.f64 z (*.f64 y y))) x)
(fma.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) x)
(fma.f64 (cbrt.f64 z) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 1/2 binary64))) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y (pow.f64 z #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)
(fma.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(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 (pow.f64 z #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) 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)))
(*.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))
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)))
x
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x 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 y (+.f64 (/.f64 x 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 (/.f64 x 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 (/.f64 x 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 (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)))
(+.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(*.f64 y (sqrt.f64 z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))) (cbrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))) (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 z))
(*.f64 y (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 z))
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(*.f64 y (sqrt.f64 z))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) (cbrt.f64 (*.f64 z (*.f64 y y))))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y (*.f64 y z)))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y (*.f64 y z)))))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y (*.f64 y z)))))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 y (*.f64 y z))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 z) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) y))
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 z) (pow.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) y) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(*.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(*.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 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64))))
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 y (sqrt.f64 z))
(*.f64 (*.f64 y (cbrt.f64 z)) (pow.f64 z #s(literal 1/6 binary64)))
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 y (sqrt.f64 z))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))) #s(literal 3 binary64)))
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y (*.f64 y z)))))
(*.f64 (pow.f64 (*.f64 y (cbrt.f64 z)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1/6 binary64)))
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 y y))) #s(literal 1 binary64)) (cbrt.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))) #s(literal 3 binary64)))
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y (*.f64 y z)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))) (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 (pow.f64 (*.f64 (*.f64 z (*.f64 y y)) y) #s(literal 1/3 binary64)) (pow.f64 z #s(literal 1/6 binary64)))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (*.f64 z (*.f64 y y)) (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 (*.f64 y y) (pow.f64 z #s(literal 3/2 binary64)))))
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(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))))))
(fma.f64 y (sqrt.f64 z) x)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 3 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(fma.f64 y (sqrt.f64 z) x)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 3 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 1/3 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))) #s(literal 2 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) (cbrt.f64 (*.f64 z (*.f64 y y))) x)
(fma.f64 (pow.f64 z #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y (*.f64 y z)))) x)
(fma.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) x)
(fma.f64 (pow.f64 z #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y (*.f64 y z)))) x)
(fma.f64 (cbrt.f64 z) (*.f64 (pow.f64 z #s(literal 1/6 binary64)) y) x)
(fma.f64 y (pow.f64 (pow.f64 z #s(literal 1/6 binary64)) #s(literal 3 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 1/2 binary64))) x)
(fma.f64 (sqrt.f64 z) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(fma.f64 y (sqrt.f64 z) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(fma.f64 y (sqrt.f64 z) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 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 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64))) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y (pow.f64 z #s(literal 1/2 binary64))))
(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 y (pow.f64 (pow.f64 z #s(literal 1/6 binary64)) #s(literal 3 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 y (sqrt.f64 z) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 z) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 y (sqrt.f64 z) x)

eval139.0ms (1.7%)

Compiler

Compiled 6788 to 4473 computations (34.1% saved)

prune59.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3458353
Fresh000
Picked011
Done000
Total3459354
Accuracy
100.0%
Counts
354 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
▶99.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
✓99.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
▶67.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (*.f64 y (*.f64 y z)))))
▶97.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))))
▶78.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
52.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))
83.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
▶48.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)
Compiler

Compiled 287 to 216 computations (24.7% saved)

localize552.0ms (6.7%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
✓99.7%
(*.f64 y (pow.f64 z #s(literal 1/2 binary64)))
✓99.6%
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
✓99.2%
(pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64))
✓93.9%
(cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))
✓99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓99.7%
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
✓98.9%
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
✓78.8%
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
✓100.0%
(+.f64 x (sqrt.f64 (*.f64 y (*.f64 y z))))
✓99.8%
(*.f64 y (*.f64 y z))
✓68.5%
(sqrt.f64 (*.f64 y (*.f64 y z)))
✓100.0%
(+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
✓99.6%
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
✓99.5%
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
Results
406.0ms242×256valid
18.0ms14×256infinite
Compiler

Compiled 255 to 154 computations (39.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-pow: 161.0ms (44.9% of total)
ival-div: 78.0ms (21.7% of total)
ival-mult: 64.0ms (17.8% of total)
ival-add: 18.0ms (5% of total)
ival-sqrt: 18.0ms (5% of total)
ival-cbrt: 12.0ms (3.3% of total)
const: 7.0ms (2% of total)

series202.0ms (2.5%)

Counts
14 → 368
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 (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 (sqrt.f64 (*.f64 y (*.f64 y z)))>
#<alt (*.f64 y (*.f64 y z))>
#<alt (+.f64 x (sqrt.f64 (*.f64 y (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))>
#<alt (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))>
#<alt (*.f64 y (pow.f64 z #s(literal 1/2 binary64)))>
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)))>
#<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 (*.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 (*.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 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 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 y (sqrt.f64 z))>
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#<alt (+.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 x (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/9 binary64)) (pow.f64 (pow.f64 z #s(literal 5 binary64)) #s(literal 1/18 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 #s(literal 8/27 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 y #s(literal 5 binary64))))) (*.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/9 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/18 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 z #s(literal 8 binary64)))) #s(literal 1/9 binary64)))))))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 z #s(literal 8 binary64)))) #s(literal 1/9 binary64)))))))))))>
#<alt (*.f64 x (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))))>
#<alt (*.f64 x (+.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 x (+.f64 (cbrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 9 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (cbrt.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))) (pow.f64 x #s(literal 3 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 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 (*.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)))>
Calls

102 calls:

TimeVariablePointExpression
32.0ms
y
@0
(* (pow z 1/4) y)
32.0ms
z
@0
(* (pow z 1/4) y)
20.0ms
z
@-inf
(* (pow z 1/4) y)
18.0ms
y
@0
(cbrt (+ (* y (pow z 1/2)) x))
8.0ms
y
@-inf
(cbrt (+ (* y (pow z 1/2)) x))

rewrite231.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
779×log1p-expm1-u
231×associate-*r*
213×expm1-log1p-u
207×add-exp-log
207×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034336
1541315
27095315
Stop Event
1×node limit
Counts
14 → 570
Calls
Call 1
Inputs
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.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)))
(sqrt.f64 (*.f64 y (*.f64 y z)))
(*.f64 y (*.f64 y z))
(+.f64 x (sqrt.f64 (*.f64 y (*.f64 y z))))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(*.f64 y (pow.f64 z #s(literal 1/2 binary64)))
Outputs
(-.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 (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 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (*.f64 y y))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y y))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64))) (pow.f64 z #s(literal 1/4 binary64))))
(*.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 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z (*.f64 y y)) (*.f64 z (*.f64 y y)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))
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(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (*.f64 y y)) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(-.f64 (/.f64 (*.f64 z (*.f64 y y)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))))
(*.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (*.f64 y (*.f64 (sqrt.f64 z) x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)) (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/6 binary64))) (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (*.f64 y (*.f64 (sqrt.f64 z) x))) (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (+.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (*.f64 y (*.f64 (sqrt.f64 z) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (neg.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (*.f64 y (*.f64 (sqrt.f64 z) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (*.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(log.f64 (exp.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))
(exp.f64 (log.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal 3 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 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (pow.f64 z #s(literal 1/4 binary64)) 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 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(-.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 (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 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (*.f64 y y))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y y))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64))) (pow.f64 z #s(literal 1/4 binary64))))
(*.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 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z (*.f64 y y)) (*.f64 z (*.f64 y y)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 y y) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 z (*.f64 y y)) (*.f64 z (*.f64 y y))))) (sqrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y y)))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64)))) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64))))
(*.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (pow.f64 z #s(literal 1/8 binary64))) (pow.f64 z #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/2 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 z (*.f64 y y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (*.f64 y y)))
(fabs.f64 (*.f64 y (sqrt.f64 z)))
(log.f64 (exp.f64 (*.f64 y (sqrt.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y y)) #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 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 z (*.f64 y y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 z (*.f64 y y)))) #s(literal 1 binary64)))

simplify255.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
804×fma-define
551×*-commutative
455×distribute-rgt-in
451×distribute-lft-in
295×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0147151539650974
1386751539647950
Stop Event
1×node limit
Counts
938 → 632
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 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.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 (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 (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 (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 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.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)))
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(*.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (*.f64 y (*.f64 (sqrt.f64 z) x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)) (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/6 binary64))) (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (*.f64 y (*.f64 (sqrt.f64 z) x))) (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (+.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (*.f64 y (*.f64 (sqrt.f64 z) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (neg.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (*.f64 y (*.f64 (sqrt.f64 z) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (*.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(log.f64 (exp.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))
(exp.f64 (log.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal 3 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 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (pow.f64 z #s(literal 1/4 binary64)) 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 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(-.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 (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 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (*.f64 y y))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y y))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64))) (pow.f64 z #s(literal 1/4 binary64))))
(*.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 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z (*.f64 y y)) (*.f64 z (*.f64 y y)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 y y) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 z (*.f64 y y)) (*.f64 z (*.f64 y y))))) (sqrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y y)))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64)))) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64))))
(*.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (pow.f64 z #s(literal 1/8 binary64))) (pow.f64 z #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/2 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 z (*.f64 y y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (*.f64 y y)))
(fabs.f64 (*.f64 y (sqrt.f64 z)))
(log.f64 (exp.f64 (*.f64 y (sqrt.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y y)) #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 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 z (*.f64 y y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 z (*.f64 y y)))) #s(literal 1 binary64)))
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 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(*.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 (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)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(*.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)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(*.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)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(*.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)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(*.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 (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 (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 (+.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 (+.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)))
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 (fma.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z) #s(literal -1 binary64)) (neg.f64 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 (fma.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z) #s(literal -1 binary64)) (neg.f64 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 (fma.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z) #s(literal -1 binary64)) (neg.f64 x))
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(sqrt.f64 (/.f64 (*.f64 (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(fabs.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(log.f64 (exp.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))))
(fma.f64 y (sqrt.f64 z) x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (log.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (+.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal 3 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 (pow.f64 z #s(literal 1/2 binary64)) y x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (pow.f64 z #s(literal 1/4 binary64)) x)
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y 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 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 (*.f64 y (*.f64 y z))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z)) x)
(fma.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) x)
(+.f64 (sqrt.f64 (*.f64 y (*.f64 y z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (pow.f64 z #s(literal 1/2 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 (pow.f64 z #s(literal 1/2 binary64)) y)
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 z))
(*.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 (cbrt.f64 (sqrt.f64 z)) (*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64)))))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 y (*.f64 y z))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (*.f64 y y))))
(*.f64 (cbrt.f64 (*.f64 y (*.f64 y z))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y y))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y y))) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))))))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)) (sqrt.f64 z))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))
(*.f64 (cbrt.f64 z) (*.f64 y (cbrt.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 y (*.f64 y z)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64))) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) y)
(*.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 z #s(literal 1/2 binary64)) y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z (*.f64 y y)) (*.f64 z (*.f64 y y)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z)))) (sqrt.f64 (cbrt.f64 (*.f64 y (*.f64 y z)))))
(*.f64 (pow.f64 (*.f64 y y) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (fabs.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 z (*.f64 y y)) (*.f64 z (*.f64 y y))))) (sqrt.f64 (cbrt.f64 (*.f64 z (*.f64 y y)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z)))) (sqrt.f64 (cbrt.f64 (*.f64 y (*.f64 y z)))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y y)))) (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) (*.f64 y y))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64)))) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/8 binary64))))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 y (*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (pow.f64 z #s(literal 1/8 binary64))) (pow.f64 z #s(literal 1/8 binary64)))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 y (*.f64 y z)))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 z))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(*.f64 y (sqrt.f64 z))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 y z)) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y (*.f64 y z)))
(sqrt.f64 (*.f64 z (*.f64 y y)))
(sqrt.f64 (*.f64 y (*.f64 y z)))
(fabs.f64 (*.f64 y (sqrt.f64 z)))
(log.f64 (exp.f64 (*.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 z (*.f64 y y)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 y z)) #s(literal 3/2 binary64)))
(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 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 z (*.f64 y y)))))
(sqrt.f64 (*.f64 y (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y y))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 y (*.f64 y z)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 z (*.f64 y y)))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 y (*.f64 y z)))

eval1.2s (14.3%)

Compiler

Compiled 50436 to 29791 computations (40.9% saved)

prune212.0ms (2.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New178951794
Fresh213
Picked235
Done011
Total1793101803
Accuracy
100.0%
Counts
1803 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
✓99.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
▶99.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) y)))))
✓99.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓67.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (*.f64 y (*.f64 y z)))))
▶78.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) z))
▶36.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z (/.f64 x z)))
▶43.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
▶52.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))
✓48.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)
Compiler

Compiled 254 to 190 computations (25.2% saved)

localize345.0ms (4.2%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓99.7%
(/.f64 y (sqrt.f64 z))
✓98.9%
(+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))
✓78.8%
(*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) z)
99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
99.7%
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
✓84.9%
(*.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
99.7%
(*.f64 y (sqrt.f64 z))
✓75.3%
(*.f64 z (/.f64 x z))
✓100.0%
(+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) y))))
✓99.6%
(*.f64 (pow.f64 z #s(literal 1/8 binary64)) y)
✓99.5%
(*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) y))
✓99.5%
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) y)))
Results
253.0ms242×256valid
18.0ms14×256infinite
Compiler

Compiled 215 to 119 computations (44.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 206.0ms
ival-pow: 114.0ms (55.3% of total)
ival-mult: 46.0ms (22.3% of total)
ival-div: 28.0ms (13.6% of total)
ival-sqrt: 9.0ms (4.4% of total)
const: 6.0ms (2.9% of total)
ival-add: 4.0ms (1.9% of total)

series73.0ms (0.9%)

Counts
9 → 252
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 1/8 binary64)) y)>
#<alt (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) y))))>
#<alt (*.f64 z (/.f64 x z))>
#<alt (*.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) z)>
#<alt (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))>
#<alt (/.f64 y (sqrt.f64 z))>
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)))>
#<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 (*.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 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)>
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#<alt (*.f64 y (sqrt.f64 z))>
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#<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 z)>
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#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
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#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
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#<alt (/.f64 x z)>
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#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
Calls

63 calls:

TimeVariablePointExpression
55.0ms
x
@inf
(* (+ (/ y (sqrt z)) (/ x z)) z)
1.0ms
z
@-inf
(* (+ (/ y (sqrt z)) (/ x z)) z)
1.0ms
z
@-inf
(* (pow z 1/8) y)
1.0ms
z
@0
(* (pow z 1/8) y)
1.0ms
z
@inf
(* (pow z 1/8) y)

rewrite261.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
1163×log1p-expm1-u
223×associate-*r*
190×expm1-log1p-u
186×add-cube-cbrt
184×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029259
1452221
26126221
Stop Event
1×node limit
Counts
9 → 377
Calls
Call 1
Inputs
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) y)))
(*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) y))
(*.f64 (pow.f64 z #s(literal 1/8 binary64)) y)
(+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) y))))
(*.f64 z (/.f64 x z))
(*.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) z)
(+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(/.f64 y (sqrt.f64 z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.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 z #s(literal 1/8 binary64)) (*.f64 (cbrt.f64 (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 z #s(literal 3/8 binary64)))) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 z #s(literal 3/8 binary64)))) (pow.f64 z #s(literal 3/8 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
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(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 2 binary64)))
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(pow.f64 (cbrt.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 x z))) (cbrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 y y) z)) (cbrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(fma.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) (sqrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)
(*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y (sqrt.f64 z))) (cbrt.f64 (/.f64 (*.f64 y y) z)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 y y) z)) (cbrt.f64 (/.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 y (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) y))
(*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (/.f64 y (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) (sqrt.f64 (/.f64 y (sqrt.f64 z))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 z)) (cbrt.f64 (/.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 y) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (cbrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 y (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 z) y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(/.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (/.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(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 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 z)))
(sqrt.f64 (/.f64 (*.f64 y y) z))
(log.f64 (exp.f64 (/.f64 y (sqrt.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (sqrt.f64 z)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))))
(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)))

simplify178.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
581×associate-*r*
568×associate-*l*
387×fma-neg
374×*-commutative
299×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
084521068
1190619866
2609519605
Stop Event
1×node limit
Counts
629 → 484
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 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.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 (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 (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 (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 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(*.f64 y (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))
(*.f64 y (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))
(*.f64 y (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))
(*.f64 y (exp.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
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(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)) y)
(*.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)))))
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(*.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 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))
(*.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))
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)))
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(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
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(*.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 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)))
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(expm1.f64 (log1p.f64 (*.f64 z (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(exp.f64 (log.f64 (*.f64 z (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) #s(literal 1 binary64)))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (/.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(*.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))) (sqrt.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(*.f64 (+.f64 (*.f64 x (sqrt.f64 z)) (*.f64 z y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)))
(*.f64 (+.f64 (*.f64 (/.f64 x z) (*.f64 (/.f64 x z) (/.f64 x z))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(*.f64 (-.f64 (/.f64 (*.f64 y y) z) (*.f64 (/.f64 x z) (/.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (+.f64 (*.f64 x (sqrt.f64 z)) (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 y y) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (+.f64 (*.f64 (/.f64 x z) (*.f64 (/.f64 x z) (/.f64 x z))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) (-.f64 (/.f64 (*.f64 y y) z) (*.f64 (/.f64 x z) (/.f64 x z)))))
(/.f64 (+.f64 (*.f64 x (sqrt.f64 z)) (*.f64 z y)) (pow.f64 z #s(literal 3/2 binary64)))
(/.f64 (+.f64 (*.f64 (/.f64 x z) (*.f64 (/.f64 x z) (/.f64 x z))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (*.f64 y y) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (+.f64 (*.f64 (/.f64 x z) (*.f64 (/.f64 x z) (/.f64 x z))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (-.f64 (/.f64 (*.f64 y y) z) (/.f64 (*.f64 y x) (pow.f64 z #s(literal 3/2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 y y) z) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (+.f64 (*.f64 x (/.f64 (sqrt.f64 z) y)) z) (*.f64 z (/.f64 (sqrt.f64 z) y)))
(/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 z (-.f64 #s(literal 0 binary64) y))) (*.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(/.f64 (+.f64 (sqrt.f64 z) (*.f64 (/.f64 z x) y)) (*.f64 (/.f64 z x) (sqrt.f64 z)))
(/.f64 (+.f64 (/.f64 (sqrt.f64 z) y) (*.f64 (/.f64 z x) #s(literal 1 binary64))) (*.f64 (/.f64 z x) (/.f64 (sqrt.f64 z) y)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 z)) (*.f64 (neg.f64 z) y)) (*.f64 (neg.f64 z) (sqrt.f64 z)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (sqrt.f64 z) y)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 (sqrt.f64 z) y)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))) (*.f64 (neg.f64 z) (-.f64 #s(literal 0 binary64) y))) (*.f64 (neg.f64 z) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(/.f64 (+.f64 (*.f64 y (/.f64 z x)) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (/.f64 z x)))
(/.f64 (+.f64 (*.f64 y (neg.f64 z)) (*.f64 (sqrt.f64 z) (-.f64 #s(literal 0 binary64) x))) (*.f64 (sqrt.f64 z) (neg.f64 z)))
(/.f64 (+.f64 z (*.f64 (/.f64 (sqrt.f64 z) y) x)) (*.f64 (/.f64 (sqrt.f64 z) y) z))
(/.f64 (+.f64 (/.f64 z x) (*.f64 (/.f64 (sqrt.f64 z) y) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 z x)))
(/.f64 (+.f64 (neg.f64 z) (*.f64 (/.f64 (sqrt.f64 z) y) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 (sqrt.f64 z) y) (neg.f64 z)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) z) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) x)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) z))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z x)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 z x)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 z)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z)) (neg.f64 z)))
(/.f64 (neg.f64 (+.f64 (*.f64 x (sqrt.f64 z)) (*.f64 z y))) (neg.f64 (pow.f64 z #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 x z) (*.f64 (/.f64 x z) (/.f64 x z))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (*.f64 y y) z) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) (*.f64 (/.f64 x z) (/.f64 x z)))) (neg.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (*.f64 y y) z)) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(/.f64 (/.f64 (+.f64 (*.f64 x (sqrt.f64 z)) (*.f64 z y)) (sqrt.f64 z)) z)
(pow.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 x z))) (cbrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 y y) z)) (cbrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(fma.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) (sqrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)
(*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y (sqrt.f64 z))) (cbrt.f64 (/.f64 (*.f64 y y) z)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 y y) z)) (cbrt.f64 (/.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 y (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) y))
(*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (/.f64 y (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) (sqrt.f64 (/.f64 y (sqrt.f64 z))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 z)) (cbrt.f64 (/.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 y) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (cbrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 y (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 z) y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(/.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (/.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(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 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 z)))
(sqrt.f64 (/.f64 (*.f64 y y) z))
(log.f64 (exp.f64 (/.f64 y (sqrt.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (sqrt.f64 z)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))))
(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)))
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 (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 (*.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))))
(*.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 (*.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))))
(*.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 (*.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))))
(*.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 (*.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))))
(*.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)))
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(/.f64 (/.f64 y (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 z))
(*.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (cbrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (*.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 y (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) y))
(/.f64 y (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 z) y) #s(literal 1 binary64)))
(/.f64 y (sqrt.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 z) y)))
(/.f64 y (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(/.f64 y (sqrt.f64 z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(/.f64 y (sqrt.f64 z))
(/.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 y (sqrt.f64 z))
(/.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 y (sqrt.f64 z))
(/.f64 (/.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 y (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 z))
(pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(/.f64 y (sqrt.f64 z))
(pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(/.f64 y (sqrt.f64 z))
(pow.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64))))
(pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(/.f64 y (sqrt.f64 z))
(pow.f64 (/.f64 (sqrt.f64 z) y) #s(literal -1 binary64))
(/.f64 y (sqrt.f64 z))
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(/.f64 y (sqrt.f64 z))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 z)))
(/.f64 y (sqrt.f64 z))
(sqrt.f64 (/.f64 (*.f64 y y) z))
(log.f64 (exp.f64 (/.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 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64))))
(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))

eval598.0ms (7.3%)

Compiler

Compiled 22708 to 12137 computations (46.6% saved)

prune153.0ms (1.9%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New1251101261
Fresh101
Picked235
Done224
Total1256151271
Accuracy
100.0%
Counts
1271 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 z y) (sqrt.f64 z)))
35.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 z x) z))
43.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 z (/.f64 (sqrt.f64 z) y)))
▶36.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 z (/.f64 z x)))
▶35.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x))))
✓99.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
46.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y)))
✓78.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) z))
35.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z)))
✓36.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z (/.f64 x z)))
43.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))
▶52.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 y (/.f64 z (sqrt.f64 z))))
✓52.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))
▶48.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) z)))
✓48.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)
Compiler

Compiled 327 to 253 computations (22.6% saved)

localize268.0ms (3.3%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓86.5%
(/.f64 (*.f64 z y) (sqrt.f64 z))
✓99.7%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x)))
✓74.2%
(/.f64 z (*.f64 z x))
✓99.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) z)
✓75.8%
(/.f64 z (/.f64 z x))
✓99.7%
(*.f64 y (/.f64 z (sqrt.f64 z)))
✓99.3%
(/.f64 z (sqrt.f64 z))
Results
147.0ms242×256valid
6.0ms14×256infinite
Compiler

Compiled 151 to 75 computations (50.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-div: 35.0ms (50.3% of total)
ival-mult: 25.0ms (35.9% of total)
ival-sqrt: 5.0ms (7.2% of total)
const: 4.0ms (5.7% of total)

series15.0ms (0.2%)

Counts
7 → 144
Calls
Call 1
Inputs
#<alt (/.f64 z (sqrt.f64 z))>
#<alt (*.f64 y (/.f64 z (sqrt.f64 z)))>
#<alt (/.f64 z (/.f64 z x))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) z)>
#<alt (/.f64 z (*.f64 z x))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x)))>
#<alt (/.f64 (*.f64 z y) (sqrt.f64 z))>
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 (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 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 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 #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) 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 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))>
Calls

36 calls:

TimeVariablePointExpression
2.0ms
z
@0
(/ z (/ z x))
1.0ms
z
@-inf
(/ z (sqrt z))
1.0ms
z
@-inf
(* y (/ z (sqrt z)))
0.0ms
z
@0
(/ z (* z x))
0.0ms
x
@-inf
(/ z (* z x))

rewrite168.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
855×log1p-expm1-u
855×expm1-log1p-u
205×expm1-undefine
205×log1p-undefine
126×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02388
136461
2431761
Stop Event
1×node limit
Counts
7 → 430
Calls
Call 1
Inputs
(/.f64 z (sqrt.f64 z))
(*.f64 y (/.f64 z (sqrt.f64 z)))
(/.f64 z (/.f64 z x))
(*.f64 (/.f64 #s(literal 1 binary64) z) z)
(/.f64 z (*.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x)))
(/.f64 (*.f64 z y) (sqrt.f64 z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 z (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 z (cbrt.f64 (sqrt.f64 z))))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (cbrt.f64 z) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z z)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z z))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 z (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 z)) (/.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 z #s(literal 1/4 binary64))))
(/.f64 z (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(/.f64 (/.f64 z (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 z (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (sqrt.f64 z)))
(sqrt.f64 z)
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(cbrt.f64 (/.f64 (*.f64 z (*.f64 z z)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y))) #s(literal 1 binary64))
(*.f64 z (/.f64 y (sqrt.f64 z)))
(*.f64 z (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 y (sqrt.f64 z))))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 (*.f64 z y) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 (*.f64 z y) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) (cbrt.f64 (*.f64 z (*.f64 y y))))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (/.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y))
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(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(cbrt.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 z x)))))
(cbrt.f64 (/.f64 (*.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x))) (*.f64 z (*.f64 z z))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 z x)) (log.f64 z)))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 z (/.f64 x z))
(*.f64 (sqrt.f64 z) (/.f64 x (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (/.f64 z x)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x z)))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (*.f64 z x)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 z x) (*.f64 z x))) (/.f64 (cbrt.f64 (*.f64 z x)) z))
(*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (cbrt.f64 z) (/.f64 z x)))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (/.f64 x z)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 z x) #s(literal 1/2 binary64)) z))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 z x) (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z x)))
(*.f64 (/.f64 x z) z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 z (cbrt.f64 (*.f64 z z))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 z z))) (/.f64 (*.f64 z x) (cbrt.f64 z)))
(*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 z z))) (/.f64 z (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 z x) (*.f64 z x))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 z x) (*.f64 z x))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z x)) z))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 z x) (*.f64 z x))) (cbrt.f64 (*.f64 z z))) (/.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 1/2 binary64)) (sqrt.f64 z)) (/.f64 (pow.f64 (*.f64 z x) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 z x) #s(literal 1/2 binary64)) z))
(*.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 z z))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 1/2 binary64)) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (/.f64 z x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) z) (/.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (/.f64 z x)))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 (/.f64 z x) (/.f64 z x)))) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 z x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (/.f64 z x) (/.f64 z x)))) (/.f64 z (cbrt.f64 (/.f64 z x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 1/2 binary64))) (/.f64 z (pow.f64 (/.f64 z x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 (*.f64 (/.f64 z x) (/.f64 z x)))) (cbrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (/.f64 z x) #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 (/.f64 z x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (*.f64 z x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (*.f64 (*.f64 z x) (*.f64 z x)))) (cbrt.f64 (*.f64 z x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 z x) #s(literal 1/2 binary64))) (pow.f64 (*.f64 z x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x))
(/.f64 z (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z x)))
(/.f64 (*.f64 z x) z)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 #s(literal 0 binary64) z) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 z x))
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 z (pow.f64 (/.f64 z x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 z x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (*.f64 z x) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
(/.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z x) (/.f64 z x)))) (cbrt.f64 (/.f64 z x)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) x))
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (*.f64 x (*.f64 x x)))
(cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z) (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 z x)))))
(cbrt.f64 (/.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 z (*.f64 z z))))
(cbrt.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (*.f64 z x)) (log.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y))) #s(literal 1 binary64))
(*.f64 z (/.f64 y (sqrt.f64 z)))
(*.f64 z (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 y (sqrt.f64 z))))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 (*.f64 z y) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 (*.f64 z y) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) (cbrt.f64 (*.f64 z (*.f64 y y))))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (/.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y))
(*.f64 (/.f64 y (sqrt.f64 z)) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 z y) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (/.f64 z (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 z (cbrt.f64 z)) (/.f64 y (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 z (pow.f64 z #s(literal 1/4 binary64))) (/.f64 y (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 z (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (cbrt.f64 z)) (cbrt.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (cbrt.f64 z)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 y (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1 binary64)))
(/.f64 (*.f64 z y) (sqrt.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(/.f64 (/.f64 (*.f64 z y) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 z y) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 z y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (sqrt.f64 z)))
(sqrt.f64 (*.f64 z (*.f64 y y)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 z) y))))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 z (*.f64 y y))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))))
(cbrt.f64 (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 z (*.f64 y y)))) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 z) y)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 z) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 1 binary64)))

simplify154.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
592×times-frac
427×exp-prod
385×fma-define
329×associate-*r*
312×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055511473
1125110984
2519010361
Stop Event
1×node limit
Counts
574 → 314
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)
(sqrt.f64 z)
(sqrt.f64 z)
(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))
(*.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))
x
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#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
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(*.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 (/.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (cbrt.f64 z)) (cbrt.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (cbrt.f64 z)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 y (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1 binary64)))
(/.f64 (*.f64 z y) (sqrt.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(/.f64 (/.f64 (*.f64 z y) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 z y) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 z y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (sqrt.f64 z)))
(sqrt.f64 (*.f64 z (*.f64 y y)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 z) y))))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 z (*.f64 y y))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))))
(cbrt.f64 (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 z (*.f64 y y)))) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 z) y)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 z) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 1 binary64)))
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)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
x
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#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
x
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(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(*.f64 z (pow.f64 z #s(literal -1/2 binary64)))
(sqrt.f64 z)
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(sqrt.f64 z)
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (pow.f64 z #s(literal -1/2 binary64))))
(sqrt.f64 z)
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 z)))
(sqrt.f64 z)
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 z)
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 z (cbrt.f64 (sqrt.f64 z))))
(/.f64 z (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (cbrt.f64 z) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z z))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(sqrt.f64 z)
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(sqrt.f64 z)
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) z)
(sqrt.f64 z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(sqrt.f64 z)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z z)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z z))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z z))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 z (pow.f64 z #s(literal 1/4 binary64))))
(sqrt.f64 z)
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 z)) (/.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 z))))
(/.f64 z (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (sqrt.f64 z)))
(sqrt.f64 z)
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (cbrt.f64 z) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (cbrt.f64 z) (sqrt.f64 z)))
(/.f64 z (sqrt.f64 z))
(sqrt.f64 z)
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(sqrt.f64 z)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(sqrt.f64 z)
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(sqrt.f64 z)
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(sqrt.f64 z)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(sqrt.f64 z)
(/.f64 (/.f64 z (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 z (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))
(/.f64 (/.f64 z (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(sqrt.f64 z)
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(sqrt.f64 z)
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(sqrt.f64 z)
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 z)
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64))
(sqrt.f64 z)
(neg.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(sqrt.f64 z)
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (sqrt.f64 z)))
(sqrt.f64 z)
(sqrt.f64 z)
(fabs.f64 (sqrt.f64 z))
(sqrt.f64 z)
(log.f64 (exp.f64 (sqrt.f64 z)))
(sqrt.f64 z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(sqrt.f64 z)
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(cbrt.f64 (/.f64 (*.f64 z (*.f64 z z)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(sqrt.f64 z)
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(sqrt.f64 z)
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(sqrt.f64 z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 z (/.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) y)
(*.f64 z (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (sqrt.f64 z) y)
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 y (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (*.f64 z y) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 z) y)
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 (*.f64 z y) (cbrt.f64 (sqrt.f64 z))))
(*.f64 z (/.f64 y (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) (cbrt.f64 (*.f64 z (*.f64 y y))))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) (cbrt.f64 (*.f64 z (*.f64 y y))))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z y))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))
(*.f64 y (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (/.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 z) (*.f64 (/.f64 y (sqrt.f64 z)) (cbrt.f64 (*.f64 z z))))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 z) y)
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z y)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) y)
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 z) y)
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) y)
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 y (sqrt.f64 z)) z)
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 z y) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (/.f64 z (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 z (cbrt.f64 z)) (/.f64 y (cbrt.f64 (sqrt.f64 z))))
(*.f64 z (/.f64 y (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))))
(*.f64 (/.f64 z (pow.f64 z #s(literal 1/4 binary64))) (/.f64 y (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
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(/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 #s(literal 0 binary64) z) x))
x
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (-.f64 #s(literal 0 binary64) z))
x
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 z x))
x
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 z)) (sqrt.f64 z))
x
(/.f64 (/.f64 z (pow.f64 (/.f64 z x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 z x) #s(literal 1/2 binary64)))
x
(/.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) z)
x
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (*.f64 z x) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
(*.f64 x (/.f64 z (*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z z)))))
(/.f64 (/.f64 z (cbrt.f64 (*.f64 (/.f64 z x) (/.f64 z x)))) (cbrt.f64 (/.f64 z x)))
(/.f64 z (*.f64 (cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x))))
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
x
(neg.f64 (-.f64 #s(literal 0 binary64) x))
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
x
(cbrt.f64 (*.f64 x (*.f64 x x)))
x
(cbrt.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z) (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 z x)))))
x
(cbrt.f64 (/.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 z x))) (*.f64 z (*.f64 z z))))
x
(cbrt.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (/.f64 z x) (*.f64 (/.f64 z x) (/.f64 z x)))))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64)))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(exp.f64 (-.f64 (log.f64 (*.f64 z x)) (log.f64 z)))
x
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 z (/.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) y)
(*.f64 z (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (sqrt.f64 z) y)
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 y (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (*.f64 z y) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 z) y)
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 (*.f64 z y) (cbrt.f64 (sqrt.f64 z))))
(*.f64 z (/.f64 y (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) (cbrt.f64 (*.f64 z (*.f64 y y))))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) (cbrt.f64 (*.f64 z (*.f64 y y))))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z y))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))
(*.f64 y (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (/.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 z) (*.f64 (/.f64 y (sqrt.f64 z)) (cbrt.f64 (*.f64 z z))))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 z) y)
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z y)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) y)
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 z) y)
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) y)
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 y (sqrt.f64 z)) z)
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 z y) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (/.f64 z (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 z (cbrt.f64 z)) (/.f64 y (cbrt.f64 (sqrt.f64 z))))
(*.f64 z (/.f64 y (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))))
(*.f64 (/.f64 z (pow.f64 z #s(literal 1/4 binary64))) (/.f64 y (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 y (cbrt.f64 z)) (/.f64 z (cbrt.f64 (sqrt.f64 z))))
(*.f64 z (/.f64 y (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (cbrt.f64 z)) (cbrt.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 z (*.f64 z (*.f64 y y)))) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) y)
(*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (cbrt.f64 z)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 z))))
(*.f64 z (/.f64 y (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 y (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 z) y)
(/.f64 y (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 z) y)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (sqrt.f64 z) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) y)
(/.f64 (*.f64 z y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))
(*.f64 (sqrt.f64 z) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (-.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) y)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) y)
(/.f64 (/.f64 (*.f64 z y) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 z) y)
(/.f64 (/.f64 (*.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(/.f64 (/.f64 (*.f64 z y) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 z (/.f64 y (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))))
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) y)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 z) y)
(pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 z (*.f64 y y))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(pow.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 z) y)
(pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal -1 binary64))
(*.f64 (sqrt.f64 z) y)
(neg.f64 (/.f64 (*.f64 z y) (-.f64 #s(literal 0 binary64) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) y)
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 (*.f64 z (*.f64 y y)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (sqrt.f64 z) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 z) y))))
(*.f64 (sqrt.f64 z) y)
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 z (*.f64 y y))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 y (*.f64 y y))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 z (*.f64 y y)))) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (sqrt.f64 z) y)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (sqrt.f64 z) y)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) y)

eval230.0ms (2.8%)

Compiler

Compiled 11690 to 6699 computations (42.7% saved)

prune84.0ms (1%)

Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New87810888
Fresh415
Picked055
Done055
Total88221903
Accuracy
100.0%
Counts
903 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z x))))
✓46.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 z y) (sqrt.f64 z)))
35.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 z x) z))
✓36.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 z (/.f64 z x)))
52.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))
52.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))
36.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) z)))
36.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))
✓35.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x))))
48.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
36.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) z))))
35.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)))
✓99.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
35.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z x)))
35.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) x))))
✓78.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) z))
✓36.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z (/.f64 x z)))
✓52.0%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 y (/.f64 z (sqrt.f64 z))))
✓52.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))
✓48.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) z)))
✓48.8%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)
Compiler

Compiled 708 to 506 computations (28.5% saved)

regimes71.0ms (0.9%)

Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z (/.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 z (/.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 z x) z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 y (/.f64 z (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 z (/.f64 (sqrt.f64 z) y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (*.f64 y (*.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y z))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 y (*.f64 y z)) (*.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) y)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Calls

7 calls:

10.0ms
x
10.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
10.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
10.0ms
(sqrt.f64 z)
10.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.9%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.9%1(*.f64 y (sqrt.f64 z))
99.9%1(sqrt.f64 z)
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes97.0ms (1.2%)

Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z (/.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 z (/.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 z x) z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 y (/.f64 z (sqrt.f64 z))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)
Calls

5 calls:

28.0ms
x
19.0ms
z
19.0ms
(sqrt.f64 z)
16.0ms
(*.f64 y (sqrt.f64 z))
14.0ms
y
Results
AccuracySegmentsBranch
77.9%3x
74.9%3y
68.6%6z
78.2%5(*.f64 y (sqrt.f64 z))
68.6%6(sqrt.f64 z)
Compiler

Compiled 24 to 18 computations (25% saved)

regimes16.0ms (0.2%)

Accuracy

Total -17.0b remaining (-51.9%)

Threshold costs -17b (-51.9%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 z (/.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 z (/.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 z x) z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) x))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)
Calls

3 calls:

5.0ms
x
4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
48.8%1z
48.8%1y
48.8%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch33.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
3.0337716900934247e-72
6.7452910831420846e-68
12.0ms
-6.83662590206806e-15
-6.723195791472456e-16
Results
19.0ms213×0valid
1.0ms11×0infinite
Compiler

Compiled 313 to 267 computations (14.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (34.8% of total)
ival-div: 2.0ms (23.2% of total)
ival-sqrt: 2.0ms (23.2% of total)
ival-add: 1.0ms (11.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
4×*-commutative
3×1-exp
2×if-if-or-not
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029106
144106
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))))
(if (<=.f64 x #s(literal -4943837340890095/1267650600228229401496703205376 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x) (if (<=.f64 x #s(literal 2003377295107783/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)
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))))
(if (<=.f64 x #s(literal -4943837340890095/1267650600228229401496703205376 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x) (if (<=.f64 x #s(literal 2003377295107783/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)))
(if (or (<=.f64 x #s(literal -4943837340890095/1267650600228229401496703205376 binary64)) (not (<=.f64 x #s(literal 2003377295107783/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)))) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) x)
(*.f64 #s(literal 1/2 binary64) x)

soundness1.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 32 to 21 computations (34.4% saved)

preprocess38.0ms (0.5%)

Compiler

Compiled 90 to 62 computations (31.1% saved)

end0.0ms (0%)

Profiling

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