Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, C

Time bar (total: 2.9s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample738.0ms (25.6%)

Results
506.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 211.0ms
ival-mult: 155.0ms (73.3% of total)
ival-sub: 45.0ms (21.3% of total)
ival-true: 7.0ms (3.3% of total)
ival-assert: 4.0ms (1.9% of total)
Bogosity

preprocess69.0ms (2.4%)

Algorithm
egg-herbie
Rules
141×fmm-def
112×fma-define
36×cancel-sign-sub-inv
36×sub-neg
26×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029254
173254
2135230
3318230
4586230
5719230
6740230
7742230
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 (neg.f64 x) (*.f64 y z))
(-.f64 x (*.f64 (neg.f64 y) z))
(-.f64 x (*.f64 y (neg.f64 z)))
(neg.f64 (-.f64 (neg.f64 x) (*.f64 y z)))
(neg.f64 (-.f64 x (*.f64 (neg.f64 y) z)))
(neg.f64 (-.f64 x (*.f64 y (neg.f64 z))))
(-.f64 y (*.f64 x z))
(-.f64 z (*.f64 y x))
(-.f64 x (*.f64 z y))
Outputs
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 (neg.f64 x) (*.f64 y z))
(neg.f64 (fma.f64 y z x))
(-.f64 x (*.f64 (neg.f64 y) z))
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
(-.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
(neg.f64 (-.f64 (neg.f64 x) (*.f64 y z)))
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
(neg.f64 (-.f64 x (*.f64 (neg.f64 y) z)))
(-.f64 (neg.f64 x) (*.f64 y z))
(neg.f64 (fma.f64 y z x))
(neg.f64 (-.f64 x (*.f64 y (neg.f64 z))))
(-.f64 (neg.f64 x) (*.f64 y z))
(neg.f64 (fma.f64 y z x))
(-.f64 y (*.f64 x z))
(-.f64 z (*.f64 y x))
(-.f64 z (*.f64 x y))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
Symmetry

(sort y z)

explain62.0ms (2.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(-.f64 x (*.f64 y z))
00-0-(*.f64 y z)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
28.0ms512×0valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (49.9% of total)
ival-sub: 3.0ms (37.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 y z))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify19.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff-6336
(-.f64 x (*.f64 y z))
cost-diff0
(*.f64 y z)
Rules
100×fma-define
56×fmm-def
21×cancel-sign-sub-inv
18×sub-neg
15×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
11847
23047
34847
46747
510147
615647
720947
827047
934347
1038947
1139547
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
Outputs
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
x
(*.f64 y z)
y
z

localize128.0ms (4.4%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(-.f64 x (*.f64 y z))
Results
122.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (54.6% of total)
ival-sub: 1.0ms (27.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Counts
2 → 33
Calls
Call 1
Inputs
#<alt (*.f64 y z)>
#<alt (-.f64 x (*.f64 y z))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 x y) z))>
#<alt (*.f64 y (-.f64 (/.f64 x y) z))>
#<alt (*.f64 y (-.f64 (/.f64 x y) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 x z) y))>
#<alt (*.f64 z (-.f64 (/.f64 x z) y))>
#<alt (*.f64 z (-.f64 (/.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) y))))>
Calls

15 calls:

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

rewrite525.0ms (18.2%)

Algorithm
batch-egg-rewrite
Rules
624×prod-diff
589×log1p-expm1-u
589×expm1-log1p-u
541×unpow-prod-down
305×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
112035
2161135
Stop Event
node limit
Counts
2 → 179
Calls
Call 1
Inputs
(*.f64 y z)
(-.f64 x (*.f64 y z))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 y z)))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) (*.f64 y z)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y (neg.f64 z) x))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 (neg.f64 z) y x)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (neg.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (neg.f64 z))) x)
(fma.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) (sqrt.f64 (*.f64 y (neg.f64 z))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y z) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) x)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) z x)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)

simplify161.0ms (5.6%)

Algorithm
egg-herbie
Rules
484×times-frac
362×distribute-lft-in
333×distribute-rgt-in
271×*-commutative
236×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04456155
110516011
224815982
378715951
Stop Event
node limit
Counts
212 → 217
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 y z))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) z))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) y))))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 y z)))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) (*.f64 y z)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y (neg.f64 z) x))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
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(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) x)
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) z x)
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (-.f64 (/.f64 x y) z))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 (/.f64 x z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 (/.f64 x z) y))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(*.f64 y z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(*.f64 y z)
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 y z)
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y z)
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 y z)
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(log.f64 (pow.f64 (exp.f64 z) y))
(*.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(*.f64 y z)
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(*.f64 y z)
(expm1.f64 (log1p.f64 (*.f64 y z)))
(*.f64 y z)
(log1p.f64 (expm1.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (log.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 y z)
(+.f64 x (*.f64 y (neg.f64 z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 y (neg.f64 z)) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 #s(literal 0 binary64) (fma.f64 y (neg.f64 z) x))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y)))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y)))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) z)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) z) (sqrt.f64 y))))
(fma.f64 (neg.f64 y) z x)
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(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 z) x)) (sqrt.f64 (fma.f64 y (neg.f64 z) x)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 z) x)) (sqrt.f64 (fma.f64 y (neg.f64 z) x)) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 z) x)) (sqrt.f64 (fma.f64 y (neg.f64 z) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z x))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (neg.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (neg.f64 z))) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) (sqrt.f64 (*.f64 y (neg.f64 z))) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 #s(literal -1 binary64) (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) z x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))

eval25.0ms (0.9%)

Compiler

Compiled 3770 to 572 computations (84.8% saved)

prune31.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2143217
Fresh000
Picked011
Done000
Total2144218
Accuracy
100.0%
Counts
218 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 y z))
51.1%
(*.f64 (neg.f64 y) z)
89.8%
(*.f64 z (-.f64 (/.f64 x z) y))
49.8%
x
Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify270.0ms (9.4%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) z)
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 (/.f64 x z) y)
cost-diff128
(*.f64 z (-.f64 (/.f64 x z) y))
Rules
1554×associate-/l/
880×fma-define
848×fmm-def
585×associate-*r/
498×associate-*l/
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
015115
124115
241115
375115
4107112
5163106
6309106
7558106
82028106
93295106
103716106
114065106
124167106
134193106
145475106
156075106
166879106
177183106
187297106
197335106
207335106
217335106
Stop Event
node limit
Calls
Call 1
Inputs
x
(*.f64 z (-.f64 (/.f64 x z) y))
z
(-.f64 (/.f64 x z) y)
(/.f64 x z)
x
y
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
Outputs
x
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z y))
(-.f64 x (*.f64 z y))
z
(-.f64 (/.f64 x z) y)
(/.f64 x z)
x
y
(*.f64 (neg.f64 y) z)
(neg.f64 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(neg.f64 y)
y
z

localize31.0ms (1.1%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (neg.f64 y) z)
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(-.f64 (/.f64 x z) y)
accuracy89.8%
(*.f64 z (-.f64 (/.f64 x z) y))
Results
22.0ms256×0valid
Compiler

Compiled 29 to 10 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (34.8% of total)
ival-div: 2.0ms (23.2% of total)
ival-sub: 1.0ms (11.6% of total)
ival-neg: 1.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.4%)

Counts
5 → 99
Calls
Call 1
Inputs
#<alt (*.f64 z (-.f64 (/.f64 x z) y))>
#<alt (-.f64 (/.f64 x z) y)>
#<alt (/.f64 x z)>
#<alt (*.f64 (neg.f64 y) z)>
#<alt (neg.f64 y)>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 x z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z))) z)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
Calls

33 calls:

TimeVariablePointExpression
1.0ms
z
@0
(* (neg y) z)
1.0ms
z
@-inf
(* z (- (/ x z) y))
1.0ms
z
@0
(* z (- (/ x z) y))
1.0ms
y
@0
(* z (- (/ x z) y))
1.0ms
x
@inf
(* z (- (/ x z) y))

rewrite146.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
837×log1p-expm1-u
837×expm1-log1p-u
642×prod-diff
454×log-prod
173×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01591
118783
2266183
Stop Event
node limit
Counts
5 → 293
Calls
Call 1
Inputs
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 (/.f64 x z) y)
(/.f64 x z)
(*.f64 (neg.f64 y) z)
(neg.f64 y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z (+.f64 (/.f64 x z) y)))
(+.f64 (*.f64 z (/.f64 x z)) (*.f64 z y))
(+.f64 (*.f64 (/.f64 x z) z) (*.f64 z y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 (/.f64 x z) y))) (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 (/.f64 x z) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 (/.f64 x z) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 (/.f64 x z) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 (/.f64 x z) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 (/.f64 x z) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 z (pow.f64 (+.f64 (/.f64 x z) y) #s(literal 2 binary64))) (+.f64 (/.f64 x z) y))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x z) y) #s(literal 2 binary64)) z) (+.f64 (/.f64 x z) y))
(pow.f64 (*.f64 z (+.f64 (/.f64 x z) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 (/.f64 x z) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 (/.f64 x z) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 (/.f64 x z) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 (/.f64 x z) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 (/.f64 x z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 (/.f64 x z) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 (/.f64 x z) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 x z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 (/.f64 x z) y))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 (/.f64 x z) y))))
(exp.f64 (log.f64 (*.f64 z (+.f64 (/.f64 x z) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 (/.f64 x z) y))) #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) (*.f64 z y))
(fma.f64 (/.f64 x z) z (*.f64 z y))
(+.f64 (/.f64 x z) y)
(+.f64 y (/.f64 x z))
(+.f64 (+.f64 (/.f64 x z) y) (+.f64 y y))
(+.f64 (+.f64 (/.f64 x z) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (+.f64 (/.f64 x z) y) (fma.f64 #s(literal -1 binary64) y y))
(+.f64 (+.f64 (/.f64 x z) y) (fma.f64 #s(literal 1 binary64) y y))
(+.f64 (+.f64 (/.f64 x z) y) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y))
(+.f64 (+.f64 (/.f64 x z) y) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (sqrt.f64 y) y))
(+.f64 (+.f64 (/.f64 x z) y) (fma.f64 y #s(literal -1 binary64) y))
(+.f64 (+.f64 (/.f64 x z) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)) y))
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 x z) y))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)))))
(+.f64 (fma.f64 (/.f64 x z) #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (/.f64 x z) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (/.f64 x z) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (/.f64 x z) #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x z) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x z) (neg.f64 (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x z) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x z) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (neg.f64 (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (neg.f64 (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (neg.f64 (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1 binary64) (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (neg.f64 (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 y) (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))))
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(*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 x z) y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) y)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x z) y) (pow.f64 (+.f64 (/.f64 x z) y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 z x)))))
(/.f64 (pow.f64 (+.f64 (/.f64 x z) y) #s(literal 2 binary64)) (+.f64 (/.f64 x z) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 x z) y) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 x z) y)))
(pow.f64 (+.f64 (/.f64 x z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x z) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x z) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 x z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 x z) y))))
(log.f64 (*.f64 (exp.f64 (/.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 y) (exp.f64 (/.f64 x z))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (/.f64 x z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z)))))
(log.f64 (/.f64 (exp.f64 (/.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (exp.f64 y)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x z) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x z) y)))
(hypot.f64 (/.f64 x z) y)
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x z) y)))
(exp.f64 (log.f64 (+.f64 (/.f64 x z) y)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x z) y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) y)
(fma.f64 (/.f64 x z) #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) (/.f64 x z))
(fma.f64 y #s(literal -1 binary64) (/.f64 x z))
(fma.f64 (+.f64 (/.f64 x z) y) #s(literal 1 binary64) (+.f64 y y))
(fma.f64 (+.f64 (/.f64 x z) y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) y) (+.f64 y y))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) y)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 x z) y)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x z) y)) #s(literal 2 binary64)) (+.f64 y y))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 x z) y)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x z) y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x z) y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 x z) y)) (+.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x z) y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 x z) y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) (/.f64 x z))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) y)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x z) y)) (sqrt.f64 (+.f64 (/.f64 x z) y)) (+.f64 y y))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x z) y)) (sqrt.f64 (+.f64 (/.f64 x z) y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 x z))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (/.f64 x z))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) y)
(fma.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (+.f64 y y))
(fma.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x y)
(fma.f64 #s(literal -1 binary64) y (/.f64 x z))
(fma.f64 (pow.f64 (+.f64 (/.f64 x z) y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) y)) (+.f64 y y))
(fma.f64 (pow.f64 (+.f64 (/.f64 x z) y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) y)
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) y)
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) y)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 y)) (+.f64 y y))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x z))
(+.f64 #s(literal 0 binary64) (/.f64 x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x z))) (cbrt.f64 (exp.f64 (/.f64 x z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) (cbrt.f64 (pow.f64 (exp.f64 z) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(neg.f64 (*.f64 z y))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))

simplify163.0ms (5.7%)

Algorithm
egg-herbie
Rules
507×fmm-def
350×distribute-lft-neg-in
344×distribute-rgt-neg-in
295×distribute-lft-neg-out
227×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061410590
114199690
241499301
Stop Event
node limit
Counts
392 → 374
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
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(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
Outputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (neg.f64 y)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (neg.f64 y)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (neg.f64 y)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (neg.f64 y)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (neg.f64 y)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (neg.f64 y)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 z (neg.f64 y)))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) z (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) z (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) z (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) z (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) z (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) z (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(/.f64 x z)
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(/.f64 x z)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z))) z)
(/.f64 (+.f64 x (*.f64 z (neg.f64 y))) z)
(/.f64 (-.f64 x (*.f64 y z)) z)
(/.f64 (fma.f64 (neg.f64 z) y x) z)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z))) z)
(/.f64 (+.f64 x (*.f64 z (neg.f64 y))) z)
(/.f64 (-.f64 x (*.f64 y z)) z)
(/.f64 (fma.f64 (neg.f64 z) y x) z)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z))) z)
(/.f64 (+.f64 x (*.f64 z (neg.f64 y))) z)
(/.f64 (-.f64 x (*.f64 y z)) z)
(/.f64 (fma.f64 (neg.f64 z) y x) z)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(/.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) y (/.f64 x z))
(-.f64 (/.f64 x z) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) y (/.f64 x z))
(-.f64 (/.f64 x z) y)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) y (/.f64 x z))
(-.f64 (/.f64 x z) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 x (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 x (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 x (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 y (+.f64 (/.f64 x (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 y (+.f64 (/.f64 x (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 y (+.f64 (/.f64 x (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(+.f64 #s(literal 0 binary64) (*.f64 z (+.f64 (/.f64 x z) y)))
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(+.f64 (*.f64 z (/.f64 x z)) (*.f64 z y))
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 y z x)
(+.f64 (*.f64 (/.f64 x z) z) (*.f64 z y))
(*.f64 z (+.f64 y (/.f64 x z)))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 #s(literal 0 binary64) y)
(neg.f64 y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 y))
(*.f64 y #s(literal 1 binary64))
y
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
(*.f64 #s(literal 1 binary64) y)
y
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(neg.f64 y)
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
y
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(neg.f64 y)
(pow.f64 y #s(literal 1 binary64))
y
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
y
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
y
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
y
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
y
(log.f64 (exp.f64 y))
y
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
y
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(neg.f64 y)
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
y

eval47.0ms (1.6%)

Compiler

Compiled 6522 to 1055 computations (83.8% saved)

prune57.0ms (2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3740374
Fresh000
Picked033
Done011
Total3744378
Accuracy
100.0%
Counts
378 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 y z))
51.1%
(*.f64 (neg.f64 y) z)
89.8%
(*.f64 z (-.f64 (/.f64 x z) y))
49.8%
x
Compiler

Compiled 49 to 29 computations (40.8% saved)

regimes13.0ms (0.4%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 (neg.f64 y) z)
(-.f64 x (*.f64 y z))
(*.f64 z (-.f64 (/.f64 x z) y))
Outputs
(-.f64 x (*.f64 y z))
Calls

5 calls:

4.0ms
(-.f64 x (*.f64 y z))
2.0ms
y
2.0ms
(*.f64 y z)
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 y z))
100.0%1(*.f64 y z)
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.2%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 (neg.f64 y) z)
Outputs
(*.f64 (neg.f64 y) z)
x
(*.f64 (neg.f64 y) z)
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
69.8%3x
74.1%3y
75.0%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

2.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
49.8%1x
49.8%1y
49.8%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch16.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
4.2378430074653824e-44
5.056527435410298e-44
12.0ms
-4.140887016932833e-15
-1.5808556135765542e-27
Results
9.0ms192×0valid
Compiler

Compiled 167 to 131 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (56.2% of total)
ival-sub: 1.0ms (28.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02378
13778
24678
35178
45478
55578
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -8294382693697875/5316911983139663491615228241121378304 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal 4619946877244597/100433627766186892221372630771322662657637687111424552206336 binary64)) x (*.f64 (neg.f64 y) z)))
x
Outputs
(-.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -8294382693697875/5316911983139663491615228241121378304 binary64)) (*.f64 (neg.f64 y) z) (if (<=.f64 z #s(literal 4619946877244597/100433627766186892221372630771322662657637687111424552206336 binary64)) x (*.f64 (neg.f64 y) z)))
(if (or (<=.f64 z #s(literal -8294382693697875/5316911983139663491615228241121378304 binary64)) (not (<=.f64 z #s(literal 4619946877244597/100433627766186892221372630771322662657637687111424552206336 binary64)))) (*.f64 z (neg.f64 y)) x)
x

soundness284.0ms (9.9%)

Rules
484×times-frac
362×distribute-lft-in
333×distribute-rgt-in
271×*-commutative
236×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04456155
110516011
224815982
378715951
Stop Event
done
node limit
Compiler

Compiled 40 to 24 computations (40% saved)

preprocess64.0ms (2.2%)

Remove

(sort y z)

Compiler

Compiled 150 to 84 computations (44% saved)

end0.0ms (0%)

Profiling

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