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

Time bar (total: 3.5s)

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 9 to 6 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample866.0ms (24.4%)

Results
478.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-mult: 99.0ms (63.8% of total)
ival-sub: 46.0ms (29.6% of total)
const: 7.0ms (4.5% of total)
backward-pass: 2.0ms (1.3% of total)
Bogosity

preprocess204.0ms (5.8%)

Algorithm
egg-herbie
Rules
141×fma-neg
112×fma-define
36×cancel-sign-sub-inv
36×sub-neg
28×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)

explain117.0ms (3.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 y z)
00-0-z
00-0-(-.f64 x (*.f64 y z))
00-0-y
Results
29.0ms512×0valid
Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (56.1% of total)
ival-sub: 4.0ms (37.4% of total)
const: 0.0ms (0% of total)
backward-pass: 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)

localize74.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-6336
(-.f64 x (*.f64 y z))
cost-diff0
(*.f64 y z)
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(-.f64 x (*.f64 y z))
Rules
100×fma-define
56×fma-neg
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
Results
14.0ms256×0valid
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (50% of total)
ival-sub: 1.0ms (25% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.2%)

Counts
2 → 33
Calls
Call 1
Inputs
#<alt (-.f64 x (*.f64 y z))>
#<alt (*.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
(- x (* y z))
0.0ms
y
@inf
(- x (* y z))
0.0ms
y
@-inf
(- x (* y z))
0.0ms
x
@0
(- x (* y z))
0.0ms
x
@inf
(- x (* y z))

rewrite414.0ms (11.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
112035
2161135
Stop Event
node limit
Counts
2 → 176
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
(*.f64 y z)
Outputs
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(+.f64 (-.f64 x (*.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)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 y z)))
(+.f64 (-.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)) (*.f64 y z)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 #s(literal 0 binary64) (-.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)))))
(+.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 (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 (*.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 (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 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 (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 (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 (*.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 (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 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 (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 (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 (*.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 (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 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 (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 (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 (*.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 (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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(+.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 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))

simplify384.0ms (10.8%)

Algorithm
egg-herbie
Rules
484×times-frac
353×distribute-lft-in
328×distribute-rgt-in
312×exp-prod
261×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04386007
110175863
224395834
377405803
Stop Event
node limit
Counts
209 → 205
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 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(+.f64 (-.f64 x (*.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)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 #s(literal -1 binary64) (*.f64 y z) (*.f64 y z)))
(+.f64 (-.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)) (*.f64 y z)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(+.f64 #s(literal 0 binary64) (-.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)))))
(+.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 (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 (*.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 (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 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 (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 (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 (*.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 (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 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 (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 (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 (*.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 (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 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 (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 (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 (*.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 (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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 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 (sqrt.f64 x) (sqrt.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 (sqrt.f64 x) (sqrt.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 (sqrt.f64 x) (sqrt.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 (sqrt.f64 x) (sqrt.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 (sqrt.f64 x) (sqrt.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))))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 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 (sqrt.f64 x) (sqrt.f64 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 (sqrt.f64 x) (sqrt.f64 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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (*.f64 y z)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (*.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (*.f64 y z))))))
(*.f64 (-.f64 x (*.f64 y z)) #s(literal 1 binary64))
(*.f64 (-.f64 x (*.f64 y z)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.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))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.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))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 x (*.f64 y z)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 y z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 y z)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 y z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 y z)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 y z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x (*.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 y z)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 x (*.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x (*.f64 y z)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #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))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y z x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y (neg.f64 z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (neg.f64 z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (neg.f64 z)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (neg.f64 z))))
(pow.f64 (-.f64 x (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y z x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (*.f64 y z)))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 y (neg.f64 z)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) y)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 y (neg.f64 z))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (*.f64 y (neg.f64 z))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 z) y)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (-.f64 x (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 y z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (*.f64 y z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 x (*.f64 y z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (neg.f64 z)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 y (neg.f64 z) x)
(fma.f64 z (neg.f64 y) x)
(fma.f64 (-.f64 x (*.f64 y z)) #s(literal 1 binary64) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 (-.f64 x (*.f64 y z)) #s(literal 1 binary64) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (-.f64 x (*.f64 y z)) #s(literal 1 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 #s(literal 1 binary64) x (*.f64 y (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.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 #s(literal 1 binary64) (*.f64 y (neg.f64 z)) x)
(fma.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #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 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (*.f64 y z))) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (*.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 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y z))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 z)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.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 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 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 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)
(+.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 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 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 y (neg.f64 z)) 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 y (neg.f64 z)) 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 y (neg.f64 z)) 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 y (neg.f64 z)) 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 y (neg.f64 z)) 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 y (neg.f64 z)) 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)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
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(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (-.f64 x (*.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 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z)) x)
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64)) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #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 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (*.f64 y z))) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (*.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 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y z))) x)
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 z)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))) (fma.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.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 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))) x)
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 y (neg.f64 z) 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 y (neg.f64 z) 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 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) x)
(fma.f64 y (neg.f64 z) 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 y (neg.f64 z) 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 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 #s(literal -1 binary64) (*.f64 y z) x)
(fma.f64 y (neg.f64 z) 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 y (neg.f64 z) 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 y (neg.f64 z) 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 y (neg.f64 z) 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 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) z x)
(fma.f64 y (neg.f64 z) 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 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(+.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 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #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)

eval76.0ms (2.1%)

Compiler

Compiled 3547 to 516 computations (85.5% saved)

prune73.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2023205
Fresh000
Picked011
Done000
Total2024206
Accuracy
100.0%
Counts
206 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 y z))
92.6%
(*.f64 z (-.f64 (/.f64 x z) y))
51.0%
(*.f64 z (neg.f64 y))
50.8%
x
Compiler

Compiled 29 to 19 computations (34.5% saved)

localize309.0ms (8.7%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 (/.f64 x z) y)
cost-diff128
(*.f64 z (-.f64 (/.f64 x z) y))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 z (neg.f64 y))
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(-.f64 (/.f64 x z) y)
accuracy92.6%
(*.f64 z (-.f64 (/.f64 x z) y))
accuracy100.0%
(*.f64 z (neg.f64 y))
accuracy100.0%
(neg.f64 y)
Rules
1554×associate-/l/
880×fma-define
846×fma-neg
585×associate-*r/
498×associate-*l/
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
015115
124115
242115
375115
4107112
5163106
6310106
7560106
82052106
93321106
103740106
114089106
124191106
134217106
145480106
156080106
166884106
177188106
187302106
197340106
207340106
217340106
Stop Event
node limit
Calls
Call 1
Inputs
x
(*.f64 z (neg.f64 y))
z
(neg.f64 y)
y
(*.f64 z (-.f64 (/.f64 x z) y))
z
(-.f64 (/.f64 x z) y)
(/.f64 x z)
x
y
Outputs
x
(*.f64 z (neg.f64 y))
(neg.f64 (*.f64 z y))
z
(neg.f64 y)
y
(*.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
Results
34.0ms256×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (42.6% of total)
ival-div: 2.0ms (21.3% of total)
ival-sub: 1.0ms (10.6% of total)
ival-neg: 1.0ms (10.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series110.0ms (3.1%)

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

33 calls:

TimeVariablePointExpression
97.0ms
z
@0
(* z (neg y))
2.0ms
x
@-inf
(/ x z)
1.0ms
z
@0
(* z (- (/ x z) y))
1.0ms
z
@-inf
(* z (- (/ x z) y))
0.0ms
x
@inf
(* z (- (/ x z) y))

rewrite197.0ms (5.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01591
118783
2266283
Stop Event
node limit
Counts
5 → 293
Calls
Call 1
Inputs
(neg.f64 y)
(*.f64 z (neg.f64 y))
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 (/.f64 x z) y)
(/.f64 x z)
Outputs
(+.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)))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.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 y z))
(-.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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(neg.f64 (*.f64 y z))
(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))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 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)))
(+.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y (/.f64 x z))))
(+.f64 (*.f64 z (/.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 (/.f64 x z) z) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y (/.f64 x z)))) (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y (/.f64 x z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y (/.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 y (/.f64 x z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 y (/.f64 x z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y (/.f64 x z))))) #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 y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 z (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 2 binary64))) (+.f64 y (/.f64 x z)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y (+.f64 y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 2 binary64)) z) (+.f64 y (/.f64 x z)))
(pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y (/.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) (*.f64 y z))
(fma.f64 (/.f64 x z) z (*.f64 y z))
(+.f64 y (/.f64 x z))
(+.f64 (/.f64 x z) y)
(+.f64 (+.f64 y (/.f64 x z)) (+.f64 y y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 #s(literal -1 binary64) y y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 #s(literal 1 binary64) y y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (sqrt.f64 y) y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 y #s(literal -1 binary64) y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)) y))
(+.f64 #s(literal 0 binary64) (+.f64 y (/.f64 x z)))
(+.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))))))
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(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)))

simplify315.0ms (8.9%)

Algorithm
egg-herbie
Rules
408×fma-neg
379×distribute-rgt-neg-in
367×distribute-lft-neg-in
317×distribute-lft-neg-out
253×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061310536
113389680
240579280
Stop Event
node limit
Counts
392 → 365
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y 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 #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))))
(*.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 #s(literal -1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) y)
(/.f64 x z)
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))))
(/.f64 x z)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z))) z)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z))) z)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z))) z)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(/.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z))
(*.f64 #s(literal -1 binary64) 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 (/.f64 x (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.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 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(+.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)))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.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 y z))
(-.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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(neg.f64 (*.f64 y z))
(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))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 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)))
(+.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y (/.f64 x z))))
(+.f64 (*.f64 z (/.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 (/.f64 x z) z) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y (/.f64 x z)))) (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y (/.f64 x z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y (/.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 y (/.f64 x z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 y (/.f64 x z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y (/.f64 x z))))) #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 y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 z (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 2 binary64))) (+.f64 y (/.f64 x z)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y (+.f64 y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 2 binary64)) z) (+.f64 y (/.f64 x z)))
(pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y (/.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 z (/.f64 x z) (*.f64 y z))
(fma.f64 (/.f64 x z) z (*.f64 y z))
(+.f64 y (/.f64 x z))
(+.f64 (/.f64 x z) y)
(+.f64 (+.f64 y (/.f64 x z)) (+.f64 y y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 #s(literal -1 binary64) y y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 #s(literal 1 binary64) y y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (sqrt.f64 y) y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 y #s(literal -1 binary64) y))
(+.f64 (+.f64 y (/.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)) y))
(+.f64 #s(literal 0 binary64) (+.f64 y (/.f64 x z)))
(+.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)))))
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) y)
(fma.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) #s(literal 2 binary64)) (+.f64 y y))
(fma.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 (+.f64 y (/.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 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (/.f64 x z))) (+.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) 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 (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 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) y)
(fma.f64 (sqrt.f64 (+.f64 y (/.f64 x z))) (sqrt.f64 (+.f64 y (/.f64 x z))) (+.f64 y y))
(fma.f64 (sqrt.f64 (+.f64 y (/.f64 x z))) (sqrt.f64 (+.f64 y (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) 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 (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 (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 y (/.f64 x z)) (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 y (/.f64 x z)) (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 y (/.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 x z))) (+.f64 y y))
(fma.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 x z))) (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)))
Outputs
(*.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 -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.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 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.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 (*.f64 y (neg.f64 z)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.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 y (neg.f64 z)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.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 y (neg.f64 z)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y 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 y (neg.f64 z)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y 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 y (neg.f64 z)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y 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 y (neg.f64 z)) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.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 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 y (neg.f64 z))) z)
(/.f64 (-.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z))) z)
(/.f64 (+.f64 x (*.f64 y (neg.f64 z))) z)
(/.f64 (-.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z))) z)
(/.f64 (+.f64 x (*.f64 y (neg.f64 z))) z)
(/.f64 (-.f64 x (*.f64 y z)) z)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
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(/.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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 x z)
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(/.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 (cbrt.f64 (/.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(/.f64 x z)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(/.f64 x z)
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x z)
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(/.f64 x z)
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 x z)
(neg.f64 (/.f64 x (neg.f64 z)))
(/.f64 x z)
(neg.f64 (/.f64 (neg.f64 x) z))
(/.f64 x z)
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(/.f64 x z)
(log.f64 (exp.f64 (/.f64 x z)))
(/.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(/.f64 x z)
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(/.f64 x z)
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(/.f64 x z)
(exp.f64 (log.f64 (/.f64 x z)))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(/.f64 x z)

eval49.0ms (1.4%)

Compiler

Compiled 6392 to 1026 computations (83.9% saved)

prune51.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3650365
Fresh000
Picked033
Done011
Total3654369
Accuracy
100.0%
Counts
369 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 y z))
92.6%
(*.f64 z (-.f64 (/.f64 x z) y))
51.0%
(*.f64 z (neg.f64 y))
50.8%
x
Compiler

Compiled 49 to 29 computations (40.8% saved)

regimes11.0ms (0.3%)

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

5 calls:

3.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(*.f64 y z)
2.0ms
(-.f64 x (*.f64 y 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 (0.1%)

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

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
70.6%3x
82.0%3y
74.2%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
50.8%1x
50.8%1z
50.8%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch39.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.510019850402886e-36
1.0793476210643241e-15
23.0ms
-1.2014780010023497e+75
-2.1591414859272963e+69
Results
18.0ms320×0valid
Compiler

Compiled 274 to 210 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61.2% of total)
ival-sub: 2.0ms (40.8% of total)
const: 0.0ms (0% of total)
backward-pass: 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
13978
24878
35378
45678
55778
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
(if (<=.f64 y #s(literal -3199999999999999848976711204421337814120041323291574352973491951632384 binary64)) (*.f64 z (neg.f64 y)) (if (<=.f64 y #s(literal 1973027210396719/182687704666362864775460604089535377456991567872 binary64)) x (*.f64 z (neg.f64 y))))
x
Outputs
(-.f64 x (*.f64 y z))
(if (<=.f64 y #s(literal -3199999999999999848976711204421337814120041323291574352973491951632384 binary64)) (*.f64 z (neg.f64 y)) (if (<=.f64 y #s(literal 1973027210396719/182687704666362864775460604089535377456991567872 binary64)) x (*.f64 z (neg.f64 y))))
(if (or (<=.f64 y #s(literal -3199999999999999848976711204421337814120041323291574352973491951632384 binary64)) (not (<=.f64 y #s(literal 1973027210396719/182687704666362864775460604089535377456991567872 binary64)))) (*.f64 z (neg.f64 y)) x)
(if (or (<=.f64 y #s(literal -3199999999999999848976711204421337814120041323291574352973491951632384 binary64)) (not (<=.f64 y #s(literal 1973027210396719/182687704666362864775460604089535377456991567872 binary64)))) (*.f64 y (neg.f64 z)) x)
x

soundness198.0ms (5.6%)

Rules
484×times-frac
353×distribute-lft-in
328×distribute-rgt-in
312×exp-prod
261×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04386007
110175863
224395834
377405803
Stop Event
done
node limit
Compiler

Compiled 43 to 25 computations (41.9% saved)

preprocess37.0ms (1%)

Remove

(sort y z)

Compiler

Compiled 150 to 84 computations (44% saved)

end0.0ms (0%)

Profiling

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