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

Time bar (total: 3.5s)

analyze0.0ms (0%)

Algorithm
1×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 11 to 8 computations (27.3% 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)

sample984.0ms (27.9%)

Results
790.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 273.0ms
ival-mult: 141.0ms (51.7% of total)
ival-sub: 118.0ms (43.3% of total)
const: 10.0ms (3.7% of total)
backward-pass: 3.0ms (1.1% of total)
Bogosity

preprocess100.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
360×fma-define
206×fma-neg
92×cancel-sign-sub-inv
89×associate-*r*
85×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034332
1103314
2247276
3629276
41120276
51518276
61555276
71560276
81560276
91560276
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 y (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 z (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 x (*.f64 (*.f64 z #s(literal 4 binary64)) y))
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(-.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(-.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(-.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(-.f64 (neg.f64 x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(-.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(neg.f64 (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (neg.f64 x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(-.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(-.f64 y (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 y (*.f64 x (*.f64 #s(literal 4 binary64) z)))
(+.f64 y (*.f64 z (*.f64 x #s(literal -4 binary64))))
(fma.f64 x (*.f64 z #s(literal -4 binary64)) y)
(-.f64 z (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 z (*.f64 x (*.f64 y #s(literal 4 binary64))))
(+.f64 z (*.f64 x (*.f64 y #s(literal -4 binary64))))
(fma.f64 x (*.f64 y #s(literal -4 binary64)) z)
(-.f64 x (*.f64 (*.f64 z #s(literal 4 binary64)) y))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Symmetry

(sort y z)

explain282.0ms (8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-#s(literal 4 binary64)
00-0-z
00-0-(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-(*.f64 y #s(literal 4 binary64))
00-0-y
Results
36.0ms512×0valid
Compiler

Compiled 56 to 23 computations (58.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 11.0ms (76.3% of total)
ival-sub: 3.0ms (20.8% of total)
const: 1.0ms (6.9% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 23 to 13 computations (43.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
▶100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify31.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z #s(literal -4 binary64))
✓cost-diff0
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
✓cost-diff-6272
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
✓cost-diff0
(*.f64 y #s(literal 4 binary64))
✓cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
Rules
282×fma-define
110×fma-neg
45×cancel-sign-sub-inv
43×distribute-lft-neg-in
27×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017121
130113
261113
3119113
4170113
5231113
6325113
7402113
8525113
9737113
10823113
11835113
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
x
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
x

localize39.0ms (1.1%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
✓accuracy100.0%
(*.f64 z #s(literal -4 binary64))
✓accuracy100.0%
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
✓accuracy100.0%
(*.f64 y #s(literal 4 binary64))
✓accuracy100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
28.0ms256×0valid
Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (47.4% of total)
ival-fma: 3.0ms (28.4% of total)
ival-sub: 2.0ms (18.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.4%)

Counts
5 → 120
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 y #s(literal 4 binary64)) z)>
#<alt (*.f64 y #s(literal 4 binary64))>
#<alt (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))>
#<alt (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)>
#<alt (*.f64 z #s(literal -4 binary64))>
Outputs
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(- x (* (* y 4) z))
1.0ms
x
@0
(- x (* (* y 4) z))
1.0ms
z
@0
(* (* y 4) z)
1.0ms
y
@inf
(* (* y 4) z)
1.0ms
y
@0
(* (* y 4) z)

rewrite407.0ms (11.5%)

Algorithm
1×batch-egg-rewrite
Rules
940×prod-diff
818×log1p-expm1-u
818×expm1-log1p-u
262×fma-define
146×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01795
118687
2251487
Stop Event
1×node limit
Counts
5 → 313
Calls
Call 1
Inputs
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(*.f64 z #s(literal -4 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
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(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (*.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))))) (-.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))

simplify186.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
452×fma-neg
449×distribute-lft-neg-in
402×distribute-rgt-neg-in
279×associate-*r*
273×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051512119
1129611867
2361611855
Stop Event
1×node limit
Counts
433 → 250
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (*.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 y (*.f64 z #s(literal -4 binary64))))) (-.f64 x (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) z) x)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) z) x)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) z) x)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) z) x)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) z) x)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) z) x)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 x y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))
(*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 2 binary64))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 2 binary64)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x))))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x) #s(literal 3 binary64)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y z) #s(literal -4 binary64) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(*.f64 z #s(literal -4 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 2 binary64))))
(fabs.f64 (*.f64 z #s(literal -4 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(*.f64 z #s(literal -4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(*.f64 z #s(literal -4 binary64))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(*.f64 z #s(literal -4 binary64))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(*.f64 z #s(literal -4 binary64))

eval87.0ms (2.5%)

Compiler

Compiled 5144 to 610 computations (88.1% saved)

prune53.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2464250
Fresh000
Picked112
Done000
Total2475252
Accuracy
100.0%
Counts
252 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
▶56.3%
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
▶89.4%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
▶91.9%
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
▶45.1%
x
Compiler

Compiled 46 to 32 computations (30.4% saved)

simplify95.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal -4 binary64))
✓cost-diff0
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
✓cost-diff-6272
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
✓cost-diff-6144
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
✓cost-diff0
(*.f64 #s(literal 4 binary64) y)
✓cost-diff0
(/.f64 x z)
✓cost-diff-6272
(-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))
✓cost-diff-6144
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
✓cost-diff0
(*.f64 #s(literal 4 binary64) z)
✓cost-diff0
(/.f64 x y)
Rules
825×div-sub
803×times-frac
510×fma-define
373×distribute-neg-frac
354×associate-*r*
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
021244
138244
269228
3141228
4246222
5341210
6569210
7993210
84689210
96055210
Stop Event
1×node limit
Calls
Call 1
Inputs
x
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
y
(-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))
(/.f64 x y)
x
(*.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
z
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
(/.f64 x z)
x
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)
z
Outputs
x
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (+.f64 (/.f64 x y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
y
(-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))
(+.f64 (/.f64 x y) (*.f64 #s(literal -4 binary64) z))
(+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))
(fma.f64 z #s(literal -4 binary64) (/.f64 x y))
(/.f64 x y)
x
(*.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 y (+.f64 (/.f64 x y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 x y)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
z
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
(+.f64 (/.f64 x z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 y #s(literal -4 binary64) (/.f64 x z))
(/.f64 x z)
x
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
y
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)
z

localize62.0ms (1.8%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
✓accuracy100.0%
(*.f64 y #s(literal -4 binary64))
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) y)
✓accuracy89.4%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) z)
✓accuracy100.0%
(-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))
✓accuracy91.9%
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
Results
42.0ms256×0valid
Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 11.0ms (55.2% of total)
ival-div: 6.0ms (30.1% of total)
ival-sub: 3.0ms (15.1% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

series25.0ms (0.7%)

Counts
10 → 162
Calls
Call 1
Inputs
#<alt (/.f64 x y)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))>
#<alt (*.f64 (*.f64 y #s(literal -4 binary64)) z)>
#<alt (*.f64 y #s(literal -4 binary64))>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) y)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (/.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 x z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
Calls

63 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(* z (- (/ x z) (* 4 y)))
2.0ms
y
@inf
(* y (- (/ x y) (* 4 z)))
1.0ms
x
@inf
(/ x y)
0.0ms
y
@-inf
(* y (- (/ x y) (* 4 z)))
0.0ms
y
@0
(* z (- (/ x z) (* 4 y)))

rewrite177.0ms (5%)

Algorithm
1×batch-egg-rewrite
Rules
968×log1p-expm1-u
968×expm1-log1p-u
236×fma-neg
147×associate-*r*
139×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021205
1307205
24578205
Stop Event
1×node limit
Counts
10 → 280
Calls
Call 1
Inputs
(/.f64 x y)
(*.f64 #s(literal 4 binary64) z)
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))
(/.f64 x z)
(*.f64 #s(literal 4 binary64) y)
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(*.f64 y #s(literal -4 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (/.f64 x y)) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(+.f64 (*.f64 (/.f64 x y) y) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) z) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) z) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) y) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(pow.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))))
(exp.f64 (log.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))
(+.f64 (/.f64 x y) (*.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))) (fma.f64 (neg.f64 z) #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) z)))
(+.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal 4 binary64) z)))
(+.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))) (fma.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) z)))
(+.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) z)))
(+.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) z)))
(+.f64 (*.f64 z #s(literal -4 binary64)) (/.f64 x y))
(*.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) (sqrt.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) z) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 z) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) z) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) z) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) z) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) (*.f64 z #s(literal -4 binary64))) (*.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z #s(literal -4 binary64)) (*.f64 z #s(literal -4 binary64)))) (-.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))
(pow.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))))
(exp.f64 (log.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal -4 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (*.f64 z #s(literal -4 binary64)))
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(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 y #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) #s(literal 4 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))

simplify176.0ms (5%)

Algorithm
1×egg-herbie
Rules
493×distribute-lft-neg-in
472×distribute-rgt-neg-in
385×fma-neg
331×fma-define
283×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057812841
1130712237
2441111585
Stop Event
1×node limit
Counts
442 → 375
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
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(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 x y)
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(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) y)
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(*.f64 #s(literal -4 binary64) z)
(/.f64 x y)
(+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))
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(+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))
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(*.f64 z (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 z (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 z (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -4 binary64) y)
(/.f64 x z)
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 x z)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(/.f64 x z)
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))
(*.f64 #s(literal -4 binary64) y)
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
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(*.f64 #s(literal -4 binary64) y)
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(*.f64 #s(literal -4 binary64) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
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(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
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(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64))
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(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) z))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (/.f64 x y)) (*.f64 y (*.f64 z #s(literal -4 binary64))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) z) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) z) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) y) (+.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(pow.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 (/.f64 x y) (*.f64 z #s(literal -4 binary64)))))))
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(*.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64))))) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64))))))
(/.f64 (pow.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64))))))
(pow.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64)))))
(exp.f64 (log.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 y #s(literal 4 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 y #s(literal 4 binary64)))
(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)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 y #s(literal 4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (*.f64 y #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 y #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) #s(literal 4 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
Outputs
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 y (*.f64 z (/.f64 #s(literal 4 binary64) x)) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 y (*.f64 z (/.f64 #s(literal 4 binary64) x)) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 y (*.f64 z (/.f64 #s(literal 4 binary64) x)) #s(literal -1 binary64))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(*.f64 #s(literal -4 binary64) z)
(/.f64 x y)
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 z x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 z x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 z x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 z x) (/.f64 #s(literal -1 binary64) y))))
(*.f64 (fma.f64 z (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 z x) (/.f64 #s(literal -1 binary64) y))))
(*.f64 (fma.f64 z (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 z x) (/.f64 #s(literal -1 binary64) y))))
(*.f64 (fma.f64 z (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) y)
(/.f64 (+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z))) y)
(/.f64 (fma.f64 y (*.f64 #s(literal -4 binary64) z) x) y)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) y)
(/.f64 (+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z))) y)
(/.f64 (fma.f64 y (*.f64 #s(literal -4 binary64) z) x) y)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) y)
(/.f64 (+.f64 x (*.f64 y (*.f64 #s(literal -4 binary64) z))) y)
(/.f64 (fma.f64 y (*.f64 #s(literal -4 binary64) z) x) y)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(/.f64 x y)
(+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))
(fma.f64 #s(literal -4 binary64) z (/.f64 x y))
(+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))
(fma.f64 #s(literal -4 binary64) z (/.f64 x y))
(+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y))
(fma.f64 #s(literal -4 binary64) z (/.f64 x y))
(*.f64 #s(literal -4 binary64) z)
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(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x z) (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 y #s(literal 4 binary64)))
(fma.f64 y #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 y #s(literal 4 binary64)))
(+.f64 (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 y #s(literal 4 binary64)))
(+.f64 (/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 y #s(literal 4 binary64)))
(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)) (*.f64 y #s(literal 4 binary64)))
(fma.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 y #s(literal 4 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 y #s(literal 4 binary64)))
(+.f64 (/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 y #s(literal 4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 y #s(literal 4 binary64)))
(+.f64 (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 y #s(literal 4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal -4 binary64) z))))
(pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal 3 binary64))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(pow.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal 2 binary64))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64)))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(log.f64 (pow.f64 (exp.f64 z) (*.f64 y #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))))))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64)))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal -4 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(exp.f64 (log.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64)))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(*.f64 y #s(literal 4 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 y #s(literal 4 binary64))
(neg.f64 (*.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -4 binary64) y)
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(*.f64 y #s(literal 4 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) #s(literal 4 binary64))))
(*.f64 #s(literal -4 binary64) y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))
(cbrt.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(*.f64 y #s(literal 4 binary64))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(*.f64 y #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 y #s(literal 4 binary64))

eval199.0ms (5.6%)

Compiler

Compiled 5461 to 1136 computations (79.2% saved)

prune52.0ms (1.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3750375
Fresh000
Picked044
Done011
Total3755380
Accuracy
100.0%
Counts
380 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
✓56.3%
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
✓89.4%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
✓91.9%
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
✓45.1%
x
Compiler

Compiled 86 to 52 computations (39.5% saved)

regimes18.0ms (0.5%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Outputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Calls

6 calls:

4.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
3.0ms
(*.f64 y #s(literal 4 binary64))
3.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes15.0ms (0.4%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Calls

6 calls:

3.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
x
2.0ms
y
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
z
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes6.0ms (0.2%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
Outputs
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
x
(*.f64 (*.f64 y #s(literal -4 binary64)) z)
Calls

3 calls:

2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
76.0%3x
73.7%3y
77.2%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (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
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
45.1%1y
45.1%1x
45.1%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch22.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.2368396240729163e-13
1.2937318776509726e-9
10.0ms
-1.5770323786963865e-47
-1.7202337684456075e-49
Results
13.0ms240×0valid
Compiler

Compiled 226 to 177 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (75.7% of total)
ival-sub: 1.0ms (18.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
10×*-commutative
6×sub-neg
6×+-commutative
5×neg-sub0
5×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028110
144110
262110
372110
480110
583110
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(if (<=.f64 z #s(literal -6170642089954523/822752278660603021077484591278675252491367932816789931674304512 binary64)) (*.f64 (*.f64 y #s(literal -4 binary64)) z) (if (<=.f64 z #s(literal 5199348164998597/1237940039285380274899124224 binary64)) x (*.f64 (*.f64 y #s(literal -4 binary64)) z)))
x
Outputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 z (*.f64 y #s(literal 4 binary64))))
(if (<=.f64 z #s(literal -6170642089954523/822752278660603021077484591278675252491367932816789931674304512 binary64)) (*.f64 (*.f64 y #s(literal -4 binary64)) z) (if (<=.f64 z #s(literal 5199348164998597/1237940039285380274899124224 binary64)) x (*.f64 (*.f64 y #s(literal -4 binary64)) z)))
(if (or (<=.f64 z #s(literal -6170642089954523/822752278660603021077484591278675252491367932816789931674304512 binary64)) (not (<=.f64 z #s(literal 5199348164998597/1237940039285380274899124224 binary64)))) (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
x

soundness450.0ms (12.8%)

Rules
452×fma-neg
449×distribute-lft-neg-in
402×distribute-rgt-neg-in
360×fma-define
279×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034332
1103314
2247276
3629276
41120276
51518276
61555276
71560276
81560276
91560276
051512119
1129611867
2361611855
Stop Event
1×done
1×node limit
1×saturated
Compiler

Compiled 128 to 60 computations (53.1% saved)

preprocess32.0ms (0.9%)

Remove

(sort y z)

Compiler

Compiled 156 to 100 computations (35.9% saved)

end0.0ms (0%)

Profiling

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