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

Time bar (total: 3.7s)

analyze0.0ms (0%)

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

Compiled 9 to 9 computations (0% saved)

sample1.1s (29.2%)

Results
883.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 347.0ms
ival-mult: 194.0ms (55.9% of total)
ival-sub: 127.0ms (36.6% of total)
ival-true: 12.0ms (3.5% of total)
ival-assert: 9.0ms (2.6% of total)
const: 5.0ms (1.4% of total)
Bogosity

preprocess158.0ms (4.3%)

Algorithm
egg-herbie
Rules
360×fma-define
206×fmm-def
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
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)
(fma.f64 z (*.f64 y #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)
(fma.f64 z (*.f64 y #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)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
Symmetry

(sort y z)

explain252.0ms (6.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-(*.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-z
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
210.0ms512×0valid
Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-mult: 168.0ms (96.2% of total)
ival-sub: 5.0ms (2.9% of total)
ival-true: 1.0ms (0.6% of total)
ival-assert: 1.0ms (0.6% of total)
const: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 29 to 14 computations (51.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 z (*.f64 y #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)

simplify40.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal -4 binary64))
cost-diff0
(fma.f64 z (*.f64 y #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
281×fma-define
110×fmm-def
45×cancel-sign-sub-inv
43×distribute-lft-neg-in
27×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017121
130113
260113
3117113
4168113
5229113
6323113
7400113
8523113
9735113
10821113
11833113
Stop Event
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 z (*.f64 y #s(literal -4 binary64)) x)
z
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)
x
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
z
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)
x

localize52.0ms (1.4%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
accuracy100.0%
(*.f64 y #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
39.0ms256×0valid
Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (57.5% of total)
ival-fma: 3.0ms (24.6% of total)
ival-sub: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.5%)

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 z (*.f64 y #s(literal -4 binary64)) x)>
#<alt (*.f64 y #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 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 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 (*.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

30 calls:

TimeVariablePointExpression
6.0ms
z
@0
(+ (* z (* y -4)) x)
1.0ms
x
@0
(- x (* (* y 4) z))
1.0ms
z
@0
(* (* y 4) z)
1.0ms
y
@0
(* (* y 4) z)
1.0ms
y
@inf
(* (* y 4) z)

rewrite299.0ms (8.1%)

Algorithm
batch-egg-rewrite
Rules
687×log1p-expm1-u
687×expm1-log1p-u
398×log-prod
268×pow-prod-down
230×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01795
118687
2262087
Stop Event
node limit
Counts
5 → 248
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 z (*.f64 y #s(literal -4 binary64)) x)
(*.f64 y #s(literal -4 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(neg.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(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)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 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 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 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))
(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) (+.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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))))
(*.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(*.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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 (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) (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.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 (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 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.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 x x (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) (neg.f64 x)))
(pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(hypot.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) z x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) x)
(fma.f64 z (*.f64 y #s(literal 4 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) x)
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) x)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.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)))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.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)))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 #s(literal 4 binary64) z) y x)
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 4 binary64)) x)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) z)) x)
(fma.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)))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.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)))) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) x)
(fma.f64 (*.f64 z y) #s(literal 4 binary64) x)
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(fma.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 4 binary64))) x)
(fma.f64 (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(+.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (fma.f64 (*.f64 y #s(literal 4 binary64)) z (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))))
(-.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(*.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) 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 (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) (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(/.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 (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 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(/.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 x x (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) (neg.f64 x)))
(pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(hypot.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 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 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 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))
(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) (+.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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify221.0ms (6%)

Algorithm
egg-herbie
Rules
591×associate-/l*
369×*-commutative
360×distribute-lft-in
335×distribute-rgt-in
269×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038610485
183510105
225139873
Stop Event
node limit
Counts
368 → 227
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))
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(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) (neg.f64 x)))
(pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 2 binary64))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(hypot.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 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 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 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))
(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) (+.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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 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 z) #s(literal -4 binary64))
(*.f64 y (*.f64 z #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 (*.f64 y #s(literal -4 binary64)) 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 (*.f64 y #s(literal -4 binary64)) 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 (*.f64 y #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 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 #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 #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 #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 #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 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 (*.f64 y #s(literal -4 binary64)) 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 (*.f64 y #s(literal -4 binary64)) 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 (*.f64 y #s(literal -4 binary64)) z x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal -4 binary64))
(*.f64 y (*.f64 z #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 z) #s(literal -4 binary64))
(*.f64 y (*.f64 z #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 (*.f64 y #s(literal -4 binary64)) 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 (*.f64 y #s(literal -4 binary64)) 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 (*.f64 y #s(literal -4 binary64)) z x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal -4 binary64))
(*.f64 y (*.f64 z #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 z) #s(literal -4 binary64))
(*.f64 y (*.f64 z #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 (*.f64 y #s(literal -4 binary64)) 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 (*.f64 y #s(literal -4 binary64)) 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 (*.f64 y #s(literal -4 binary64)) z x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 y z) #s(literal -4 binary64))
(*.f64 y (*.f64 z #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)))
(*.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)))
(*.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 z) #s(literal -4 binary64))
(*.f64 y (*.f64 z #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 (*.f64 y #s(literal -4 binary64)) z x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
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(pow.f64 (/.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)))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y 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 3 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y 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 3 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (exp.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (exp.f64 x)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z))))
(log.f64 (exp.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) z x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z))))
(log.f64 (exp.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) z x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z))))
(log.f64 (exp.f64 (fma.f64 (*.f64 y #s(literal -4 binary64)) z x)))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(hypot.f64 x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(hypot.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(exp.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 3 binary64)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))) #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y z) x)
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) y)
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal -4 binary64))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 4 binary64) y))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) y)
(neg.f64 (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal -4 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 4 binary64) y))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(*.f64 #s(literal 4 binary64) y)
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64))))))
(*.f64 y #s(literal -4 binary64))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) y)
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) y)
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) y)

eval75.0ms (2%)

Compiler

Compiled 3339 to 569 computations (83% saved)

prune70.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2243227
Fresh000
Picked112
Done000
Total2254229
Accuracy
100.0%
Counts
229 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
55.8%
(*.f64 (*.f64 y z) #s(literal -4 binary64))
88.5%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
45.8%
x
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify265.0ms (7.2%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(literal -4 binary64))
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)
Rules
1591×fma-define
693×associate-/l/
686×fmm-def
307×associate-/r*
251×distribute-rgt-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
017146
129146
249138
387138
4152135
5223129
6373129
7598129
81539129
92985129
103736129
114150129
124345129
134407129
144723129
155803129
166761129
177471129
187729129
197845129
Stop Event
node limit
Calls
Call 1
Inputs
x
(*.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 z) #s(literal -4 binary64))
(*.f64 y z)
y
z
#s(literal -4 binary64)
Outputs
x
(*.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 y #s(literal -4 binary64))))
(*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
z
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
(+.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)
#s(literal 4 binary64)
y
(*.f64 (*.f64 y z) #s(literal -4 binary64))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal -4 binary64)

localize61.0ms (1.7%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 (*.f64 y z) #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)
accuracy88.5%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
Results
49.0ms256×0valid
Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 9.0ms (65.5% of total)
ival-div: 3.0ms (21.8% of total)
ival-sub: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.3%)

Counts
6 → 87
Calls
Call 1
Inputs
#<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 z) #s(literal -4 binary64))>
#<alt (*.f64 y z)>
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 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))>
Calls

39 calls:

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

rewrite145.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
664×log1p-expm1-u
664×expm1-log1p-u
604×log-prod
288×fma-define
195×pow-to-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017120
1210120
22894112
Stop Event
node limit
Counts
6 → 261
Calls
Call 1
Inputs
(/.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 z) #s(literal -4 binary64))
(*.f64 y z)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x z))) (cbrt.f64 (exp.f64 (/.f64 x z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 (/.f64 x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) #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))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) y))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))
(+.f64 (*.f64 z (/.f64 x z)) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (*.f64 (/.f64 x z) z) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))) (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) z) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) z) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)))
(pow.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))) #s(literal 2 binary64)))
(fma.f64 z (/.f64 x z) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 (/.f64 x z) z (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (/.f64 x z) (*.f64 y #s(literal -4 binary64)))
(+.f64 (/.f64 x z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(+.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 x z))
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))) (cbrt.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))))
(*.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -4 binary64) (/.f64 x z)))
(*.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))
(*.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))))
(*.f64 (-.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) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) y (/.f64 x z))))
(*.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 (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 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 (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)))
(/.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 (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 x z))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 y #s(literal -4 binary64))) (*.f64 (/.f64 x z) (*.f64 y #s(literal -4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 y #s(literal -4 binary64)))) (-.f64 (/.f64 x z) (*.f64 y #s(literal -4 binary64))))
(pow.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 x z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))) #s(literal -1 binary64))
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(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) (cbrt.f64 (pow.f64 (exp.f64 y) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z y))) #s(literal 2 binary64)))

simplify331.0ms (9%)

Algorithm
egg-herbie
Rules
870×times-frac
612×distribute-lft-in
236×cancel-sign-sub-inv
234×prod-exp
232×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057011002
1118310600
2330510522
Stop Event
node limit
Counts
348 → 348
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 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))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))))
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(*.f64 (/.f64 x z) #s(literal 1 binary64))
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(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
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(*.f64 (/.f64 #s(literal 1 binary64) z) x)
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(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 z)))
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(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x z))) #s(literal 2 binary64)))
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(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
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(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 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)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 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 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 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 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.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))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.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))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x z))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(exp.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) (cbrt.f64 (pow.f64 (exp.f64 y) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z y))) #s(literal 2 binary64)))
Outputs
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.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 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y 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 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y 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 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y 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 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 #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 #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 #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 #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 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.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 (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.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 #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 y (fma.f64 #s(literal -4 binary64) z (/.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 #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 #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)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (fma.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 (fma.f64 #s(literal -4 binary64) (*.f64 y z) x) z)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y z) x) z)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y z) x) 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))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))
(fma.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 #s(literal -4 binary64) (/.f64 (/.f64 x z) y)))
(*.f64 y (+.f64 #s(literal -4 binary64) (/.f64 x (*.f64 y z))))
(*.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 #s(literal -4 binary64) (/.f64 (/.f64 x z) y)))
(*.f64 y (+.f64 #s(literal -4 binary64) (/.f64 x (*.f64 y z))))
(*.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 #s(literal -4 binary64) (/.f64 (/.f64 x z) y)))
(*.f64 y (+.f64 #s(literal -4 binary64) (/.f64 x (*.f64 y z))))
(*.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 y (+.f64 (/.f64 x (*.f64 y z)) #s(literal -4 binary64)))
(*.f64 y (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 x z) y)))
(*.f64 y (+.f64 #s(literal -4 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 y (+.f64 (/.f64 x (*.f64 y z)) #s(literal -4 binary64)))
(*.f64 y (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 x z) y)))
(*.f64 y (+.f64 #s(literal -4 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 y (+.f64 (/.f64 x (*.f64 y z)) #s(literal -4 binary64)))
(*.f64 y (+.f64 #s(literal -4 binary64) (/.f64 (/.f64 x z) y)))
(*.f64 y (+.f64 #s(literal -4 binary64) (/.f64 x (*.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) (*.f64 y z))
(+.f64 #s(literal 0 binary64) (/.f64 x z))
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(fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (/.f64 x z))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) y) (/.f64 x z))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal -4 binary64))) (cbrt.f64 (*.f64 y #s(literal -4 binary64)))) (cbrt.f64 (*.f64 y #s(literal -4 binary64))) (/.f64 x z))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -4 binary64))) (sqrt.f64 (*.f64 y #s(literal -4 binary64))) (/.f64 x z))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.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 #s(literal -4 binary64) y))
(+.f64 (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(+.f64 (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.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 #s(literal -4 binary64) y))
(+.f64 (/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(+.f64 (/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(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 #s(literal -4 binary64) y (/.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 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(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)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))
(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 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 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 #s(literal -4 binary64) y))
(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 #s(literal -4 binary64) y))
(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 #s(literal -4 binary64) y))
(+.f64 (/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(+.f64 (/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(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 #s(literal -4 binary64) y))
(+.f64 (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(+.f64 (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) y))
(fma.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))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 y) (sqrt.f64 (/.f64 x z))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 y) (sqrt.f64 (/.f64 x z))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.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))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 y) (sqrt.f64 (/.f64 x z))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 y) (sqrt.f64 (/.f64 x z))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 y) (sqrt.f64 (/.f64 x z))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 y) (sqrt.f64 (/.f64 x z))) (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal -2 binary64))) (-.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) (/.f64 x z))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 x z))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x z))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z))))
(pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(fabs.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(exp.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 z y))
(*.f64 y z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) (cbrt.f64 (pow.f64 (exp.f64 y) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) (cbrt.f64 (pow.f64 (exp.f64 z) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 y z)
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y z)
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(*.f64 y z)
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(*.f64 y z)
(log.f64 (pow.f64 (exp.f64 y) z))
(*.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(*.f64 y z)
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(*.f64 y z)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y z)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 y z)
(expm1.f64 (log1p.f64 (*.f64 z y)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(*.f64 y z)
(exp.f64 (log.f64 (*.f64 z y)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z y))) #s(literal 3 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z y))) #s(literal 1/3 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z y))) #s(literal 2 binary64)))
(*.f64 y z)

eval42.0ms (1.1%)

Compiler

Compiled 5479 to 1046 computations (80.9% saved)

prune139.0ms (3.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3480348
Fresh000
Picked033
Done011
Total3484352
Accuracy
100.0%
Counts
352 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
55.8%
(*.f64 (*.f64 y z) #s(literal -4 binary64))
88.5%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
45.8%
x
Compiler

Compiled 65 to 40 computations (38.5% saved)

regimes29.0ms (0.8%)

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

6 calls:

16.0ms
x
2.0ms
z
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
y
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) 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)

regimes14.0ms (0.4%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 (*.f64 y z) #s(literal -4 binary64))
(-.f64 x (*.f64 (*.f64 y #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
z
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
y
2.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
2.0ms
x
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)

regimes5.0ms (0.1%)

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

3 calls:

2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
74.0%3x
75.1%3y
76.2%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

3.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
45.8%1x
45.8%1y
45.8%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch28.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
4.0230634450277547e-39
4.8405705674399105e-33
12.0ms
-2.899091536667367e-93
-1.058780415369956e-96
Results
16.0ms272×0valid
Compiler

Compiled 251 to 200 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (61.1% of total)
ival-sub: 1.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028110
144110
262110
372110
480110
583110
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(if (<=.f64 z #s(literal -3053105357605983/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (*.f64 (*.f64 y z) #s(literal -4 binary64)) (if (<=.f64 z #s(literal 7355978596156267/383123885216472214589586756787577295904684780545900544 binary64)) x (*.f64 (*.f64 y z) #s(literal -4 binary64))))
x
Outputs
(fma.f64 z (*.f64 y #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 -3053105357605983/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (*.f64 (*.f64 y z) #s(literal -4 binary64)) (if (<=.f64 z #s(literal 7355978596156267/383123885216472214589586756787577295904684780545900544 binary64)) x (*.f64 (*.f64 y z) #s(literal -4 binary64))))
(if (or (<=.f64 z #s(literal -3053105357605983/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (not (<=.f64 z #s(literal 7355978596156267/383123885216472214589586756787577295904684780545900544 binary64)))) (*.f64 #s(literal -4 binary64) (*.f64 z y)) x)
x

soundness308.0ms (8.3%)

Rules
591×associate-/l*
369×*-commutative
360×fma-define
360×distribute-lft-in
335×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038610485
183510105
225139873
034332
1103314
2247276
3629276
41120276
51518276
61555276
71560276
81560276
91560276
Stop Event
done
saturated
node limit
Compiler

Compiled 123 to 53 computations (56.9% saved)

preprocess35.0ms (1%)

Remove

(sort y z)

Compiler

Compiled 156 to 100 computations (35.9% saved)

end0.0ms (0%)

Profiling

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