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

Time bar (total: 6.6s)

analyze76.0ms (1.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
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: 42.0ms
ival-div: 27.0ms (64.3% of total)
ival-mult: 7.0ms (16.7% of total)
ival-sqrt: 4.0ms (9.5% of total)
ival-add: 3.0ms (7.1% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

sample1.4s (21%)

Results
685.0ms8256×0valid
298.0ms2077×0invalid
Precisions
Click to see histograms. Total time spent on operations: 601.0ms
ival-sqrt: 172.0ms (28.6% of total)
ival-mult: 163.0ms (27.1% of total)
ival-add: 141.0ms (23.5% of total)
ival-div: 103.0ms (17.1% of total)
const: 18.0ms (3% of total)
backward-pass: 4.0ms (0.7% of total)
Bogosity

preprocess190.0ms (2.9%)

Algorithm
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
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 y (*.f64 x (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 z (*.f64 y (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 z (sqrt.f64 y))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x)))
(*.f64 (fma.f64 (sqrt.f64 z) (neg.f64 y) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (sqrt.f64 z) (neg.f64 y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) (neg.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (neg.f64 z)) x))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (sqrt.f64 z) (neg.f64 y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) (neg.f64 y) x))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x)))
(*.f64 (fma.f64 (sqrt.f64 z) (neg.f64 y) x) #s(literal -1/2 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z))))))
(*.f64 #s(literal -1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 (neg.f64 z)) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 y (*.f64 x (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 x (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 z) y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 z (*.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 x) z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 z (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 z (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 z (sqrt.f64 y) x))

explain344.0ms (5.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 y (sqrt.f64 z))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
00-0-(+.f64 x (*.f64 y (sqrt.f64 z)))
00-0-(sqrt.f64 z)
00-0-z
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Results
309.0ms512×0valid
Compiler

Compiled 81 to 42 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 11.0ms (41.4% of total)
ival-div: 7.0ms (26.3% of total)
ival-sqrt: 4.0ms (15% of total)
ival-add: 3.0ms (11.3% of total)
const: 2.0ms (7.5% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 18 to 11 computations (38.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize47.0ms (0.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.8%
(fma.f64 y (sqrt.f64 z) x)
99.6%
(*.f64 y (sqrt.f64 z))
Results
34.0ms256×0valid
Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (44.2% of total)
ival-fma: 3.0ms (22.1% of total)
ival-add: 2.0ms (14.7% of total)
ival-sqrt: 2.0ms (14.7% of total)
const: 1.0ms (7.4% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
2 → 40
Calls
Call 1
Inputs
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (fma.f64 y (sqrt.f64 z) x)>
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 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))))>
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))

rewrite213.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
481×log1p-expm1-u
481×expm1-log1p-u
463×add-exp-log
462×unpow-prod-down
422×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01439
112639
2135239
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 z))
(fma.f64 y (sqrt.f64 z) x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y (sqrt.f64 z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 z))))) (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 z)))))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (sqrt.f64 z) x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))) (sqrt.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x))))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)))

simplify146.0ms (2.2%)

Algorithm
egg-herbie
Rules
573×fma-neg
500×associate-*r*
438×fma-define
434×associate-*l*
360×prod-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01923224
14012861
211912711
351562653
Stop Event
node limit
Counts
98 → 83
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)))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 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))))))
(*.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 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y (sqrt.f64 z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 z))))) (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 z)))))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (sqrt.f64 z) x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))) (sqrt.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x))))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) 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)))))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.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)))
(fma.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
(*.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)))
(fma.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
(*.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)))
(fma.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.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)))
(fma.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
(*.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)))
(fma.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
(*.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)))
(fma.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
(*.f64 y (sqrt.f64 z))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(+.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))))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(fma.f64 y (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))))
(fma.f64 y (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))))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(pow.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 z)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(pow.f64 (E.f64) (log.f64 (*.f64 y (sqrt.f64 z))))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 z))))) (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 z)))))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 z)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 3 binary64)))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 2 binary64)))
(neg.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1 binary64) y))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (fma.f64 y (sqrt.f64 z) x) (log.f64 (E.f64)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 (sqrt.f64 z) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (E.f64) (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))) (sqrt.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x))))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1/3 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)))
(fma.f64 y (sqrt.f64 z) x)

eval14.0ms (0.2%)

Compiler

Compiled 1163 to 550 computations (52.7% saved)

prune18.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New75883
Fresh000
Picked112
Done000
Total76985
Accuracy
100.0%
Counts
85 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
99.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
59.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
68.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
83.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
91.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
89.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
52.2%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 223 to 168 computations (24.7% saved)

localize212.0ms (3.2%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 y (sqrt.f64 z))
99.7%
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
96.0%
(sqrt.f64 (*.f64 y (sqrt.f64 z)))
94.6%
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
82.1%
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
98.2%
(*.f64 (/.f64 y x) (sqrt.f64 z))
95.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
99.8%
(*.f64 y (sqrt.f64 z))
99.5%
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
95.7%
(cbrt.f64 (*.f64 y (sqrt.f64 z)))
Results
80.0ms129×0invalid
66.0ms127×0valid
Compiler

Compiled 178 to 72 computations (59.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-pow: 44.0ms (42.2% of total)
ival-mult: 30.0ms (28.8% of total)
ival-add: 11.0ms (10.6% of total)
ival-sqrt: 9.0ms (8.6% of total)
const: 4.0ms (3.8% of total)
ival-cbrt: 4.0ms (3.8% of total)
ival-div: 2.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series149.0ms (2.3%)

Counts
8 → 177
Calls
Call 1
Inputs
#<alt (cbrt.f64 (*.f64 y (sqrt.f64 z)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 z (pow.f64 y #s(literal 2 binary64)))>
#<alt (sqrt.f64 (*.f64 y (sqrt.f64 z)))>
#<alt (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 y))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.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

54 calls:

TimeVariablePointExpression
70.0ms
z
@0
(cbrt (* y (sqrt z)))
37.0ms
y
@0
(cbrt (* y (sqrt z)))
7.0ms
z
@inf
(cbrt (* y (sqrt z)))
2.0ms
z
@inf
(pow (cbrt (* y (sqrt z))) 3)
2.0ms
y
@-inf
(cbrt (* y (sqrt z)))

rewrite160.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
919×prod-diff
807×log1p-expm1-u
474×expm1-log1p-u
138×associate-*r*
131×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026179
1356175
24108175
Stop Event
node limit
Counts
8 → 262
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 y (sqrt.f64 z)))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
(sqrt.f64 (*.f64 y (sqrt.f64 z)))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) (pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.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 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 z)))))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 z)))
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(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.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 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 z)))))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.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 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 y (sqrt.f64 z)))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 y)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
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(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))

simplify163.0ms (2.5%)

Algorithm
egg-herbie
Rules
508×associate-*r/
417×associate-*l/
358×cancel-sign-sub-inv
289×distribute-lft-neg-in
287×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04234294979764
18484294978927
228184294978797
Stop Event
node limit
Counts
439 → 240
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
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(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
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x
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
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(*.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
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(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)))
(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 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (*.f64 y (sqrt.f64 z)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (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))))
(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 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 6 binary64))
(pow.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3/4 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3/2 binary64))
(pow.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 z)))
(*.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.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 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 z)))))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.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 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 y (sqrt.f64 z)))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 y)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/6 binary64)))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 z)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (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))))
(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 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
Outputs
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(neg.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (neg.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(neg.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (neg.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(neg.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (neg.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(neg.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (neg.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y)) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))
(*.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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eval138.0ms (2.1%)

Compiler

Compiled 5396 to 2980 computations (44.8% saved)

prune201.0ms (3.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New3435348
Fresh123
Picked325
Done011
Total34710357
Accuracy
100.0%
Counts
357 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 y)) #s(literal 3 binary64))))
51.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 z)))))))
99.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
59.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
67.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
83.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
91.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
89.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
52.2%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 284 to 201 computations (29.2% saved)

localize507.0ms (7.7%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.6%
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
95.5%
(*.f64 y (/.f64 (sqrt.f64 z) x))
93.0%
(*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
71.8%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
99.6%
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
98.7%
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
84.1%
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
99.7%
(/.f64 (sqrt.f64 z) x)
95.5%
(*.f64 y (/.f64 (sqrt.f64 z) x))
91.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))
100.0%
(+.f64 (sqrt.f64 z) (/.f64 x y))
91.7%
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x 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
350.0ms256×0valid
Compiler

Compiled 289 to 124 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 287.0ms
ival-mult: 119.0ms (41.4% of total)
ival-pow: 70.0ms (24.4% of total)
ival-div: 62.0ms (21.6% of total)
ival-add: 12.0ms (4.2% of total)
ival-sqrt: 11.0ms (3.8% of total)
ival-sub: 8.0ms (2.8% of total)
const: 5.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series176.0ms (2.7%)

Counts
15 → 396
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 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))>
#<alt (*.f64 y (/.f64 (sqrt.f64 z) x))>
#<alt (/.f64 (sqrt.f64 z) x)>
#<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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))>
#<alt (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))>
#<alt (*.f64 y (/.f64 (sqrt.f64 z) x))>
#<alt (pow.f64 (/.f64 y x) #s(literal 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 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 (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 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 (sqrt.f64 z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (sqrt.f64 z)>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 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 #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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (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 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
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#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
Calls

114 calls:

TimeVariablePointExpression
78.0ms
z
@-inf
(* (pow z 1/4) y)
38.0ms
y
@0
(* (pow z 1/4) y)
7.0ms
z
@0
(* (pow z 1/4) y)
3.0ms
x
@0
(* (- 1 (* z (pow (/ y x) 2))) (/ x (- 1 (* y (/ (sqrt z) x)))))
2.0ms
z
@inf
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))

rewrite158.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
299×log1p-expm1-u
299×expm1-log1p-u
292×add-exp-log
292×add-cube-cbrt
292×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037471
1661432
Stop Event
node limit
Counts
15 → 342
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 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(+.f64 (sqrt.f64 z) (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(/.f64 (sqrt.f64 z) x)
(*.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))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 z) y))) #s(literal 1 binary64))
(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 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 z) y))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (/.f64 x y) y))
(+.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (-.f64 (*.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y))) (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (/.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) y) #s(literal 3 binary64))) (+.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y)) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (/.f64 x y) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y)))) (-.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (/.f64 x y))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) y))) (-.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (/.f64 x y) y)))
(pow.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 z) (*.f64 y (/.f64 x y)))
(fma.f64 (sqrt.f64 z) y (*.f64 (/.f64 x y) y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 1 binary64))
(-.f64 (/.f64 z (-.f64 (sqrt.f64 z) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) (sqrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (/.f64 x y))))))
(*.f64 (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 z) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (/.f64 x y)))) (+.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 z) (/.f64 x y)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 z (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (/.f64 x y)))))
(/.f64 (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 z) (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 z (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sqrt.f64 z) (/.f64 x y))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 z (*.f64 (/.f64 x y) (sqrt.f64 z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (/.f64 x y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (sqrt.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)) (sqrt.f64 z))
(fma.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)) (/.f64 x y))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)) (/.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (sqrt.f64 z))
(+.f64 x (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))))
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(pow.f64 z #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 z #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) x) (+.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) (+.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) (+.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))) (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 y (/.f64 x (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (*.f64 y (sqrt.f64 z)) x)
(/.f64 (neg.f64 (*.f64 y (sqrt.f64 z))) (neg.f64 x))
(pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 z) x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(exp.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (/.f64 y x) (/.f64 y x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 y (*.f64 (/.f64 x y) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 y x) (/.f64 x y))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 y) (*.f64 (/.f64 x y) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 y (neg.f64 y)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y x))) #s(literal 1 binary64)))

simplify422.0ms (6.4%)

Algorithm
egg-herbie
Rules
599×associate-*r*
570×associate-*l*
342×fma-define
324×times-frac
218×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090728351
1241826431
Stop Event
node limit
Counts
738 → 505
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)
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(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (/.f64 y x) (/.f64 y x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 y (*.f64 (/.f64 x y) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 y x) (/.f64 x y))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 y) (*.f64 (/.f64 x y) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 y (neg.f64 y)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y x))) #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 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(*.f64 (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)))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.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 (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 (neg.f64 z) (fma.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 (fma.f64 y (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x (neg.f64 z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 (neg.f64 z) (fma.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 (fma.f64 y (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x (neg.f64 z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 (neg.f64 z) (fma.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 (fma.f64 y (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x (neg.f64 z))) (neg.f64 z))
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 x (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 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.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 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (neg.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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (neg.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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z) #s(literal -1 binary64)) (neg.f64 x))
(sqrt.f64 z)
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 z (neg.f64 (-.f64 (/.f64 (/.f64 x (neg.f64 y)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 z (neg.f64 (-.f64 (/.f64 (/.f64 x (neg.f64 y)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(*.f64 z (neg.f64 (-.f64 (/.f64 (/.f64 x (neg.f64 y)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
(sqrt.f64 z)
(/.f64 x y)
(*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))
(fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))
(*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))
(fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))
(*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))
(fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal -1 binary64) y))))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)
(/.f64 (+.f64 (*.f64 y (sqrt.f64 z)) x) y)
(/.f64 (fma.f64 y (sqrt.f64 z) x) y)
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(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(/.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 y (sqrt.f64 z))) (neg.f64 x))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 3 binary64))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 z) x)) y))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(+.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(exp.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1 binary64)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 (/.f64 y x) (/.f64 y x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y (*.f64 (/.f64 x y) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 y x) (/.f64 x y))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 (neg.f64 y) (*.f64 (/.f64 x y) (neg.f64 x)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 x y)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 (*.f64 y (neg.f64 y)) (*.f64 x (neg.f64 x)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x y)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y x))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y x))) #s(literal 1 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))

eval137.0ms (2.1%)

Compiler

Compiled 12112 to 6331 computations (47.7% saved)

prune121.0ms (1.8%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New5598567
Fresh112
Picked235
Done123
Total56314577
Accuracy
100.0%
Counts
577 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y)))) (-.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (/.f64 x y)))))
51.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 z)))))))
99.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
40.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
83.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
46.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
75.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 x (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))))
44.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x y)))
91.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
50.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
90.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 z))))))
89.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
52.2%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 373 to 237 computations (36.5% saved)

localize153.0ms (2.3%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)))
95.3%
(-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y))))
81.0%
(*.f64 y (/.f64 x y))
49.3%
(/.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y)))) (-.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (/.f64 x y))))
99.7%
(/.f64 y (sqrt.f64 z))
98.7%
(+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))
84.1%
(*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
99.6%
(*.f64 y (sqrt.f64 z))
81.0%
(*.f64 y (/.f64 x y))
99.7%
(/.f64 x (sqrt.f64 z))
95.1%
(/.f64 y (/.f64 x (sqrt.f64 z)))
91.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 z)))))
Results
99.0ms256×0valid
Compiler

Compiled 262 to 43 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 24.0ms (43.8% of total)
ival-div: 14.0ms (25.5% of total)
ival-sub: 5.0ms (9.1% of total)
ival-add: 5.0ms (9.1% of total)
ival-sqrt: 5.0ms (9.1% of total)
const: 2.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

series33.0ms (0.5%)

Counts
11 → 336
Calls
Call 1
Inputs
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 z)))))>
#<alt (/.f64 y (/.f64 x (sqrt.f64 z)))>
#<alt (/.f64 x (sqrt.f64 z))>
#<alt (*.f64 y (/.f64 x y))>
#<alt (*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))>
#<alt (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))>
#<alt (/.f64 y (sqrt.f64 z))>
#<alt (/.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y)))) (-.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (/.f64 x y))))>
#<alt (*.f64 y (/.f64 x y))>
#<alt (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y))))>
#<alt (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)))>
Outputs
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (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 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
Calls

84 calls:

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

rewrite170.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
278×associate-*r*
249×log1p-expm1-u
249×expm1-log1p-u
246×add-exp-log
246×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028396
1534313
Stop Event
node limit
Counts
11 → 375
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 z)))))
(/.f64 y (/.f64 x (sqrt.f64 z)))
(/.f64 x (sqrt.f64 z))
(*.f64 y (/.f64 x y))
(*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(/.f64 y (sqrt.f64 z))
(/.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y)))) (-.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (/.f64 x y))))
(*.f64 y (/.f64 x y))
(-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y))))
(*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)))
Outputs
(+.f64 x (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))))
(+.f64 x (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x))
(+.f64 x (*.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x) #s(literal 1 binary64)))
(+.f64 x (*.f64 (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))) x)
(+.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x)) (*.f64 x (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))) (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x)))) (*.f64 x (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x))) (-.f64 x (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))) (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))))) (-.f64 x (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(pow.f64 (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x))
(-.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) (sqrt.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (sqrt.f64 z)))))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (/.f64 y (cbrt.f64 (/.f64 x (sqrt.f64 z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (sqrt.f64 z)))) (/.f64 y (sqrt.f64 (/.f64 x (sqrt.f64 z)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) x) (/.f64 (cbrt.f64 y) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (/.f64 x (sqrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (cbrt.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (sqrt.f64 z)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sqrt.f64 z)))))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 z))))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sqrt.f64 z)))))
(*.f64 (*.f64 (/.f64 y x) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (*.f64 (/.f64 y x) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (/.f64 y x) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 x (sqrt.f64 z)) y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (/.f64 x (neg.f64 (sqrt.f64 z)))))
(neg.f64 (/.f64 (neg.f64 y) (/.f64 x (sqrt.f64 z))))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(exp.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 z)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (cbrt.f64 (/.f64 x (sqrt.f64 z))))
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (sqrt.f64 (/.f64 x (sqrt.f64 z))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 x (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 x (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 z)) (cbrt.f64 (/.f64 x (sqrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 z #s(literal 1/4 binary64))))
(pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 z))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 z))))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y x)))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 y))
(pow.f64 (*.f64 y (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y (/.f64 x y)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x y))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (/.f64 z (/.f64 z x)))
(+.f64 (/.f64 z (/.f64 z x)) (*.f64 z (/.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) (*.f64 (/.f64 x z) z))
(+.f64 (*.f64 (/.f64 x z) z) (*.f64 (/.f64 y (sqrt.f64 z)) z))
(+.f64 (*.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (*.f64 (/.f64 z (/.f64 z x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) z) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 x z) z) #s(literal 1 binary64)))
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(*.f64 (*.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) y) (-.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 (*.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (-.f64 (sqrt.f64 z) (/.f64 x y)))))
(*.f64 (*.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) (sqrt.f64 (*.f64 y (-.f64 (sqrt.f64 z) (/.f64 x y))))) (sqrt.f64 (*.f64 y (-.f64 (sqrt.f64 z) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (/.f64 x y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 6 binary64)) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 6 binary64)) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (/.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 6 binary64)) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (/.f64 x y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 4 binary64)))) (neg.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64)))) (*.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))) (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 y (*.f64 y z) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) z (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) (*.f64 y (-.f64 (sqrt.f64 z) (/.f64 x y))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify359.0ms (5.5%)

Algorithm
egg-herbie
Rules
518×fma-define
287×associate-/l*
286×associate-/r*
266×times-frac
261×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101431194
1276225243
Stop Event
node limit
Counts
711 → 581
Calls
Call 1
Inputs
(*.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))))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 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))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (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))))))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
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 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 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
x
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(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 y (*.f64 y z) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) z (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) (*.f64 y (-.f64 (sqrt.f64 z) (/.f64 x y))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 x (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 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.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 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (neg.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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (neg.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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z) #s(literal -1 binary64)) (neg.f64 x))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.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 (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 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.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 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.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 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.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)))
(fma.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
(*.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)))
(fma.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
(*.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)))
(fma.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
(*.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 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(+.f64 x (neg.f64 (*.f64 z (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))))
(*.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 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(+.f64 x (neg.f64 (*.f64 z (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))))
(*.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 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(+.f64 x (neg.f64 (*.f64 z (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
x
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x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
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(-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(+.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) (*.f64 y (-.f64 (sqrt.f64 z) (/.f64 x y))) (+.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) (*.f64 y (-.f64 (sqrt.f64 z) (/.f64 x y))) (+.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (*.f64 y (*.f64 y (sqrt.f64 z))) (sqrt.f64 z) (neg.f64 (pow.f64 (*.f64 y (/.f64 x y)) #s(literal 2 binary64))))
(fma.f64 (*.f64 y (*.f64 y (sqrt.f64 z))) (sqrt.f64 z) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) z))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))

eval172.0ms (2.6%)

Compiler

Compiled 20641 to 7449 computations (63.9% saved)

prune171.0ms (2.6%)

Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New7457752
Fresh134
Picked145
Done145
Total74818766
Accuracy
100.0%
Counts
766 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) (*.f64 y (-.f64 (sqrt.f64 z) (/.f64 x y)))) (-.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (/.f64 x y)))))
38.7%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) y))
45.1%
(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 y x)))
38.7%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y x))))
51.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 z)))))))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
40.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
83.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
46.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))
44.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x y)))
91.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
50.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
89.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (pow.f64 z #s(literal -1/2 binary64))))))
90.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 z))))))
90.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))))))
89.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
28.9%
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
52.2%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 628 to 359 computations (42.8% saved)

regimes63.0ms (1%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y x))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 #s(literal 1/2 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 (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 z))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (pow.f64 z #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 x (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) (*.f64 y (-.f64 (sqrt.f64 z) (/.f64 x y)))) (-.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (/.f64 x y)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 y (/.f64 x y)) (*.f64 y (/.f64 x y)))) (-.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (/.f64 x y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 y)) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 z)))))))
Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
Calls

7 calls:

10.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
9.0ms
y
9.0ms
x
9.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
8.0ms
(*.f64 y (sqrt.f64 z))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(sqrt.f64 z)
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes54.0ms (0.8%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y x))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 #s(literal 1/2 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 (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (sqrt.f64 z))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (pow.f64 z #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 x (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Calls

7 calls:

14.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
8.0ms
z
7.0ms
x
7.0ms
(*.f64 y (sqrt.f64 z))
6.0ms
(sqrt.f64 z)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(sqrt.f64 z)
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes42.0ms (0.6%)

Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y x))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
Calls

5 calls:

9.0ms
z
9.0ms
(sqrt.f64 z)
8.0ms
x
8.0ms
(*.f64 y (sqrt.f64 z))
8.0ms
y
Results
AccuracySegmentsBranch
77.8%5x
77.5%3y
65.7%4z
80.5%3(*.f64 y (sqrt.f64 z))
65.7%4(sqrt.f64 z)
Compiler

Compiled 24 to 18 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -24.7b remaining (-80.8%)

Threshold costs -24.7b (-80.8%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y x) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y x))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
52.2%1z
52.2%1x
52.2%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.08450037921323916
44.54642495948044
0.0ms
-6.253246283504573e-17
-2.7909445517079895e-23
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
if-if-or-not
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029160
140160
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))))
(if (or (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -2028240960365167/40564819207303340847894502572032 binary64)) (not (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3602879701896397/36028797018963968 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)

soundness313.0ms (4.8%)

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
fuel
saturated
Compiler

Compiled 102 to 54 computations (47.1% saved)

preprocess36.0ms (0.5%)

Compiler

Compiled 116 to 68 computations (41.4% saved)

end0.0ms (0%)

Profiling

Loading profile data...