Main:bigenough2 from A

Time bar (total: 5.1s)

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 11 to 7 computations (36.4% saved)

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

sample1.1s (21.1%)

Results
555.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 265.0ms
ival-add: 191.0ms (72.2% of total)
ival-mult: 65.0ms (24.6% of total)
const: 7.0ms (2.6% of total)
backward-pass: 2.0ms (0.8% of total)
Bogosity

preprocess230.0ms (4.5%)

Algorithm
egg-herbie
Rules
994×fma-neg
513×fma-define
210×distribute-rgt-in
181×unsub-neg
147×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036369
1106313
2363313
3949313
42595313
53322313
63432313
73432313
84189313
94189313
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x))))
(+.f64 x (*.f64 (neg.f64 y) (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 (neg.f64 z) x)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x)))))
(neg.f64 (+.f64 x (*.f64 (neg.f64 y) (+.f64 z x))))
(neg.f64 (+.f64 x (*.f64 y (+.f64 (neg.f64 z) x))))
(+.f64 y (*.f64 x (+.f64 z y)))
(+.f64 z (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 z (+.f64 y x)))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x))))
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) (neg.f64 x))
(-.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 x (*.f64 (neg.f64 y) (+.f64 z x)))
(+.f64 x (*.f64 (+.f64 x z) (neg.f64 y)))
(-.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 (neg.f64 z) x)))
(+.f64 x (*.f64 y (+.f64 x (neg.f64 z))))
(fma.f64 y (-.f64 x z) x)
(neg.f64 (+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x)))))
(+.f64 x (*.f64 y (+.f64 x (neg.f64 z))))
(fma.f64 y (-.f64 x z) x)
(neg.f64 (+.f64 x (*.f64 (neg.f64 y) (+.f64 z x))))
(neg.f64 (+.f64 x (*.f64 (+.f64 x z) (neg.f64 y))))
(-.f64 (*.f64 y (+.f64 x z)) x)
(fma.f64 y (+.f64 x z) (neg.f64 x))
(neg.f64 (+.f64 x (*.f64 y (+.f64 (neg.f64 z) x))))
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) (neg.f64 x))
(-.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 y (*.f64 x (+.f64 z y)))
(+.f64 y (*.f64 x (+.f64 y z)))
(fma.f64 x (+.f64 y z) y)
(+.f64 z (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) z)
(+.f64 x (*.f64 z (+.f64 y x)))
(+.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) x)

explain75.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 x (*.f64 y (+.f64 z x)))
00-0-z
00-0-(*.f64 y (+.f64 z x))
00-0-y
00-0-(+.f64 z x)
Results
49.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 6.0ms (58.7% of total)
ival-mult: 4.0ms (39.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

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

Compiled 19 to 11 computations (42.1% saved)

simplify109.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x z)
cost-diff0
(fma.f64 y (+.f64 x z) x)
cost-diff-6272
(+.f64 x (*.f64 y (+.f64 z x)))
cost-diff0
(+.f64 z x)
cost-diff0
(*.f64 y (+.f64 z x))
Rules
65×fma-define
associate-*r*
associate-*l*
+-commutative
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015126
125126
240126
355126
468126
575126
681126
7100126
8116126
9130126
10148126
11155126
12156126
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
x
(*.f64 y (+.f64 z x))
y
(+.f64 z x)
z
(fma.f64 y (+.f64 x z) x)
y
(+.f64 x z)
x
z
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 y (+.f64 x z) x)
x
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
y
(+.f64 z x)
(+.f64 x z)
z
(fma.f64 y (+.f64 x z) x)
y
(+.f64 x z)
x
z

localize173.0ms (3.4%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 y (+.f64 x z) x)
accuracy100.0%
(+.f64 x z)
accuracy100.0%
(+.f64 z x)
accuracy100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
accuracy100.0%
(*.f64 y (+.f64 z x))
Results
22.0ms256×0valid
Compiler

Compiled 34 to 9 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 4.0ms (44.1% of total)
ival-fma: 3.0ms (33.1% of total)
ival-mult: 2.0ms (22.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.3%)

Counts
5 → 150
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 z x))>
#<alt (+.f64 z x)>
#<alt (+.f64 x (*.f64 y (+.f64 z x)))>
#<alt (fma.f64 y (+.f64 x z) x)>
#<alt (+.f64 x z)>
Outputs
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 y z))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt x>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))>
#<alt z>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))>
#<alt x>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
Calls

39 calls:

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

rewrite327.0ms (6.4%)

Algorithm
batch-egg-rewrite
Rules
977×log1p-expm1-u
977×expm1-log1p-u
527×fma-define
407×log-prod
227×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015102
1203102
22733102
Stop Event
node limit
Counts
5 → 277
Calls
Call 1
Inputs
(*.f64 y (+.f64 z x))
(+.f64 z x)
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 y (+.f64 x z) x)
(+.f64 x z)
Outputs
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 z x))) (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 z x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y z) (*.f64 y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 z x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y) (-.f64 z x))
(pow.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 y x)) (exp.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 z x))))
(exp.f64 (log.f64 (*.f64 y (+.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 z x))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 y x))
(fma.f64 y x (*.f64 y z))
(fma.f64 z y (*.f64 y x))
(fma.f64 x y (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 y x))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z)))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z x)))
(*.f64 (+.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z x))
(*.f64 (cbrt.f64 (+.f64 z x)) (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z x)))
(*.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (+.f64 z x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 x z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 z x)))
(pow.f64 (+.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z x))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z x)))
(log1p.f64 (expm1.f64 (+.f64 z x)))
(exp.f64 (log.f64 (+.f64 z x)))
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))))
(*.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) x))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) (sqrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (+.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y x) (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 z x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 z x) (neg.f64 x)))
(pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (+.f64 z x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 z x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 y z (fma.f64 y x x))
(fma.f64 y (+.f64 z x) x)
(fma.f64 z y (fma.f64 y x x))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (+.f64 z x)))
(fma.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64) x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (+.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z x)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 z x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (+.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (fma.f64 y x x))
(fma.f64 (sqrt.f64 (+.f64 z x)) (*.f64 (sqrt.f64 (+.f64 z x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 y x x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 z x)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 y x x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 y x x))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 y x x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 z x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)) x)
(fma.f64 (*.f64 (+.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (+.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (fma.f64 y x x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y x x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y x x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y x x))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 y (+.f64 z x)) x)
(+.f64 (*.f64 y z) (fma.f64 y x x))
(+.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 z x) x))
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x))) (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))))
(*.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) x))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) (sqrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (+.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y x) (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 z x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 z x) (neg.f64 x)))
(pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (+.f64 z x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 z x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z)))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z x)))
(*.f64 (+.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z x))
(*.f64 (cbrt.f64 (+.f64 z x)) (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z x)))
(*.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (+.f64 z x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 x z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 z x)))
(pow.f64 (+.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z x))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z x)))
(log1p.f64 (expm1.f64 (+.f64 z x)))
(exp.f64 (log.f64 (+.f64 z x)))
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)

simplify168.0ms (3.3%)

Algorithm
egg-herbie
Rules
496×associate-/l*
362×cancel-sign-sub-inv
304×associate-/r*
291×distribute-lft-neg-in
277×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045814233
1110113204
2336513059
Stop Event
node limit
Counts
427 → 255
Calls
Call 1
Inputs
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 y z)
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
x
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
z
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (*.f64 x y))
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(*.f64 y z)
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 x y)) z)))))
x
(+.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
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(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 y z (fma.f64 y x x))
(fma.f64 y (+.f64 z x) x)
(fma.f64 z y (fma.f64 y x x))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (+.f64 z x)))
(fma.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64) x)
(fma.f64 (+.f64 z x) y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (+.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z x)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 z x)) y) x)
(fma.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (+.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (fma.f64 y x x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (fma.f64 y x x))
(fma.f64 (sqrt.f64 (+.f64 z x)) (*.f64 (sqrt.f64 (+.f64 z x)) y) x)
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (+.f64 z x)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 y x x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 z x)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 y x x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 y x x))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 y x x))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 y x x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 z x)) x)
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)) x)
(fma.f64 (*.f64 (+.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (+.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (fma.f64 y x x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y x x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y x x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y x x))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 y (+.f64 z x)) x)
(+.f64 (*.f64 y z) (fma.f64 y x x))
(+.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 z x) x))
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x))) (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (+.f64 z x)))))
(*.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z x) x))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) (sqrt.f64 (fma.f64 y (+.f64 z x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (+.f64 z x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y x) (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (+.f64 z x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 z x) (neg.f64 x)))
(pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 z x) x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (+.f64 z x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 z x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 z x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z)))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z x)))
(*.f64 (+.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z x))
(*.f64 (cbrt.f64 (+.f64 z x)) (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z x)))
(*.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 (+.f64 z x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 x z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 z x)))
(pow.f64 (+.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z x))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z x)))
(log1p.f64 (expm1.f64 (+.f64 z x)))
(exp.f64 (log.f64 (+.f64 z x)))
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
Outputs
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 y z)
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
x
(+.f64 x z)
(+.f64 x z)
(+.f64 x z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 z x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(pow.f64 (+.f64 z x) #s(literal 1 binary64))
(+.f64 x z)
(pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))
(+.f64 x z)
(pow.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x z)
(pow.f64 (sqrt.f64 (+.f64 z x)) #s(literal 2 binary64))
(+.f64 x z)
(sqrt.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(+.f64 x z)
(log.f64 (exp.f64 (+.f64 z x)))
(+.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z x))))
(+.f64 x z)
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 x z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(+.f64 x z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 x z)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(+.f64 x z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 z)))
(+.f64 x z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(+.f64 x z)
(cbrt.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)))
(+.f64 x z)
(expm1.f64 (log1p.f64 (+.f64 z x)))
(expm1.f64 (log1p.f64 (+.f64 x z)))
(+.f64 #s(literal 0 binary64) (+.f64 x z))
(log1p.f64 (expm1.f64 (+.f64 z x)))
(+.f64 x z)
(exp.f64 (log.f64 (+.f64 z x)))
(+.f64 x z)
(exp.f64 (*.f64 (log.f64 (+.f64 z x)) #s(literal 1 binary64)))
(+.f64 x z)
(fma.f64 z #s(literal 1 binary64) x)
(+.f64 x z)
(fma.f64 x #s(literal 1 binary64) z)
(+.f64 x z)
(fma.f64 #s(literal 1 binary64) z x)
(+.f64 x z)
(fma.f64 #s(literal 1 binary64) x z)
(+.f64 x z)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z)
(+.f64 x z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(+.f64 x z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(+.f64 x z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(+.f64 x z)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(+.f64 x z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(+.f64 x z)

eval30.0ms (0.6%)

Compiler

Compiled 3417 to 760 computations (77.8% saved)

prune38.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2523255
Fresh000
Picked112
Done000
Total2534257
Accuracy
100.0%
Counts
257 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
74.7%
(+.f64 x (*.f64 y z))
63.9%
(+.f64 x (*.f64 y x))
88.7%
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
Compiler

Compiled 38 to 23 computations (39.5% saved)

simplify188.0ms (3.7%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 x (*.f64 y z))
cost-diff0
(*.f64 y z)
cost-diff-6272
(+.f64 x (*.f64 y x))
cost-diff0
(*.f64 y x)
cost-diff-6400
(+.f64 x (+.f64 z (/.f64 x y)))
cost-diff-6144
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
cost-diff0
(/.f64 x y)
cost-diff0
(+.f64 z (/.f64 x y))
Rules
1651×fma-define
894×cube-prod
435×cube-div
408×associate-/r*
389×pow-sqr
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
017205
134200
270200
3114200
4140187
5174187
6244186
7577186
81707186
92925186
104047186
114529186
125161186
135620186
146284186
157106186
167527186
177797186
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
y
(+.f64 x (+.f64 z (/.f64 x y)))
x
(+.f64 z (/.f64 x y))
z
(/.f64 x y)
(+.f64 x (*.f64 y x))
x
(*.f64 y x)
y
(+.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
Outputs
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x z) (/.f64 x y)))
(fma.f64 y (+.f64 x z) x)
y
(+.f64 x (+.f64 z (/.f64 x y)))
(+.f64 (+.f64 x z) (/.f64 x y))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) z)
x
(+.f64 z (/.f64 x y))
z
(/.f64 x y)
(+.f64 x (*.f64 y x))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(fma.f64 y x x)
x
(*.f64 y x)
y
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
x
(*.f64 y z)
y
z

localize59.0ms (1.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(+.f64 x (*.f64 y z))
accuracy100.0%
(+.f64 x (*.f64 y x))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(+.f64 x (+.f64 z (/.f64 x y)))
accuracy100.0%
(+.f64 z (/.f64 x y))
accuracy88.7%
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
Results
45.0ms256×0valid
Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 11.0ms (59.1% of total)
ival-add: 5.0ms (26.8% of total)
ival-div: 2.0ms (10.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series24.0ms (0.5%)

Counts
8 → 159
Calls
Call 1
Inputs
#<alt (+.f64 z (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (+.f64 x (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y x)>
#<alt (+.f64 x (*.f64 y x))>
#<alt (*.f64 y z)>
#<alt (+.f64 x (*.f64 y z))>
Outputs
#<alt (/.f64 x y)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))>
#<alt z>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))>
#<alt (/.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 y z)) y)>
#<alt (/.f64 (+.f64 x (*.f64 y z)) y)>
#<alt (/.f64 (+.f64 x (*.f64 y z)) y)>
#<alt z>
#<alt z>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 y z))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (+.f64 (*.f64 y z) (*.f64 y (+.f64 x (/.f64 x y))))>
#<alt (+.f64 (*.f64 y z) (*.f64 y (+.f64 x (/.f64 x y))))>
#<alt (+.f64 (*.f64 y z) (*.f64 y (+.f64 x (/.f64 x y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))>
#<alt (*.f64 z (+.f64 y (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 x (/.f64 x y))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 x (*.f64 y z)))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 x (*.f64 y z)))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 x (*.f64 y z)))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 x y)) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 x y)) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 x y)) z)) #s(literal 1 binary64))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 y (+.f64 x z))) y)>
#<alt (/.f64 (+.f64 x (*.f64 y (+.f64 x z))) y)>
#<alt (/.f64 (+.f64 x (*.f64 y (+.f64 x z))) y)>
#<alt (+.f64 x z)>
#<alt (+.f64 x z)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 y (+.f64 x (/.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y z)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt x>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
x
@0
(+ z (/ x y))
2.0ms
x
@-inf
(* y (+ x (+ z (/ x y))))
1.0ms
x
@inf
(+ x (* y x))
1.0ms
y
@-inf
(* y (+ x (+ z (/ x y))))
0.0ms
x
@inf
(+ z (/ x y))

rewrite177.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
1083×log1p-expm1-u
913×expm1-log1p-u
135×add-cube-cbrt
133×add-exp-log
133×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017173
1279168
24587168
Stop Event
node limit
Counts
8 → 244
Calls
Call 1
Inputs
(+.f64 z (/.f64 x y))
(/.f64 x y)
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(+.f64 x (+.f64 z (/.f64 x y)))
(*.f64 y x)
(+.f64 x (*.f64 y x))
(*.f64 y z)
(+.f64 x (*.f64 y z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (/.f64 x y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 z (/.f64 x y))))
(*.f64 (+.f64 z (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z (/.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 z (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z (/.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 z (/.f64 x y))) (sqrt.f64 (+.f64 z (/.f64 x y))))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) z)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) z))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 x y)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) z))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 z (/.f64 y x)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 z (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (/.f64 x y) z))
(pow.f64 (+.f64 z (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z (/.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z (/.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 z (/.f64 x y))))
(exp.f64 (log.f64 (+.f64 z (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 z (/.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) z)
(fma.f64 #s(literal 1 binary64) z (/.f64 x y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) z)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (/.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 y (+.f64 z (/.f64 x y))))
(+.f64 (*.f64 x y) (*.f64 (*.f64 y (+.f64 z (/.f64 x y))) #s(literal 1 binary64)))
(+.f64 (*.f64 y (+.f64 z (/.f64 x y))) (*.f64 x y))
(+.f64 (*.f64 y (+.f64 z x)) (*.f64 y (/.f64 x y)))
(+.f64 (*.f64 (+.f64 z x) y) (*.f64 (/.f64 x y) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z (+.f64 (/.f64 x y) x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 z (/.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (+.f64 z (/.f64 x y))) (*.f64 y (+.f64 z (/.f64 x y)))) (*.f64 (*.f64 x y) (*.f64 y (+.f64 z (/.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 z (/.f64 x y))) (*.f64 y (+.f64 z (/.f64 x y))))) (-.f64 (*.f64 x y) (*.f64 y (+.f64 z (/.f64 x y)))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (+.f64 z (/.f64 x y)) (-.f64 (+.f64 z (/.f64 x y)) x))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 2 binary64)))) (-.f64 x (+.f64 z (/.f64 x y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x (*.f64 (+.f64 z (/.f64 x y)) (-.f64 (+.f64 z (/.f64 x y)) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 2 binary64))) y) (-.f64 x (+.f64 z (/.f64 x y))))
(pow.f64 (*.f64 y (+.f64 z (+.f64 (/.f64 x y) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 z (+.f64 (/.f64 x y) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 z (+.f64 (/.f64 x y) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 z (+.f64 (/.f64 x y) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 z (+.f64 (/.f64 x y) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 z (+.f64 (/.f64 x y) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z (+.f64 (/.f64 x y) x))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z (+.f64 (/.f64 x y) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 z (+.f64 (/.f64 x y) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z (+.f64 (/.f64 x y) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 z (+.f64 (/.f64 x y) x)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 z (+.f64 (/.f64 x y) x)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 z (+.f64 (/.f64 x y) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 z (+.f64 (/.f64 x y) x)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y (+.f64 z (/.f64 x y))))
(fma.f64 y x (*.f64 y (+.f64 z (/.f64 x y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y (+.f64 z (/.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y (+.f64 z (/.f64 x y))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y (+.f64 z (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (+.f64 (/.f64 x y) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (+.f64 z (/.f64 x y)))) (/.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 2 binary64)) (-.f64 x (+.f64 z (/.f64 x y)))))
(*.f64 (+.f64 z (+.f64 (/.f64 x y) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z (+.f64 (/.f64 x y) x)))
(*.f64 (cbrt.f64 (+.f64 z (+.f64 (/.f64 x y) x))) (pow.f64 (cbrt.f64 (+.f64 z (+.f64 (/.f64 x y) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z (+.f64 (/.f64 x y) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z (+.f64 (/.f64 x y) x))))
(*.f64 (sqrt.f64 (+.f64 z (+.f64 (/.f64 x y) x))) (sqrt.f64 (+.f64 z (+.f64 (/.f64 x y) x))))
(*.f64 (+.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (+.f64 z (/.f64 x y)) (-.f64 (+.f64 z (/.f64 x y)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 z (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (+.f64 z (/.f64 x y)) (-.f64 (+.f64 z (/.f64 x y)) x))) (+.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (+.f64 z (/.f64 x y))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (+.f64 z (/.f64 x y)) (-.f64 (+.f64 z (/.f64 x y)) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (+.f64 z (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 2 binary64))) (-.f64 x (+.f64 z (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 z (/.f64 x y)) (-.f64 (+.f64 z (/.f64 x y)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (+.f64 z (/.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (+.f64 z (/.f64 x y)) x))
(/.f64 (-.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (+.f64 z x) (/.f64 x y)))
(pow.f64 (+.f64 z (+.f64 (/.f64 x y) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z (+.f64 (/.f64 x y) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z (+.f64 (/.f64 x y) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z (+.f64 (/.f64 x y) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z (+.f64 (/.f64 x y) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z (+.f64 (/.f64 x y) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z (+.f64 (/.f64 x y) x)))))
(cbrt.f64 (pow.f64 (+.f64 z (+.f64 (/.f64 x y) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z (+.f64 (/.f64 x y) x))))
(log1p.f64 (expm1.f64 (+.f64 z (+.f64 (/.f64 x y) x))))
(exp.f64 (log.f64 (+.f64 z (+.f64 (/.f64 x y) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 z (+.f64 (/.f64 x y) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (+.f64 z (/.f64 x y)))
(fma.f64 #s(literal 1 binary64) (+.f64 z (/.f64 x y)) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 z (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z (/.f64 x y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 z (/.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 z (/.f64 x y))) (sqrt.f64 (+.f64 z (/.f64 x y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 z (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 (fma.f64 x y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) x))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x y) x))
(pow.f64 (fma.f64 x y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y x))))
(cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 y x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(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)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 z y))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 x (*.f64 z y))))
(*.f64 (fma.f64 z y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z y x))
(*.f64 (cbrt.f64 (fma.f64 z y x)) (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y x)))
(*.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 z y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 x (*.f64 z y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z y) x))
(pow.f64 (fma.f64 z y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z y x))))
(cbrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z y x)))
(log1p.f64 (expm1.f64 (fma.f64 z y x)))
(exp.f64 (log.f64 (fma.f64 z y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z y x)) #s(literal 1 binary64)))
(fma.f64 z y x)
(fma.f64 y z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z y))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y))

simplify430.0ms (8.4%)

Algorithm
egg-herbie
Rules
798×fma-neg
286×associate-*r*
241×associate-*l*
236×sub-neg
222×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060614196
1145912238
2498712190
Stop Event
node limit
Counts
403 → 354
Calls
Call 1
Inputs
(/.f64 x y)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
z
(/.f64 x y)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 y z)) y)
(/.f64 (+.f64 x (*.f64 y z)) y)
(/.f64 (+.f64 x (*.f64 y z)) y)
z
z
x
(+.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y z)
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 y z))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 y z))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 y z))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y z) x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(+.f64 (*.f64 y z) (*.f64 y (+.f64 x (/.f64 x y))))
(+.f64 (*.f64 y z) (*.f64 y (+.f64 x (/.f64 x y))))
(+.f64 (*.f64 y z) (*.f64 y (+.f64 x (/.f64 x y))))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))))
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(+.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(+.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 x (/.f64 x y))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 x (*.f64 y z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 x (*.f64 y z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 x (*.f64 y z)))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 x y)) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 x y)) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 x y)) z)) #s(literal 1 binary64))))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 y (+.f64 x z))) y)
(/.f64 (+.f64 x (*.f64 y (+.f64 x z))) y)
(/.f64 (+.f64 x (*.f64 y (+.f64 x z))) y)
(+.f64 x z)
(+.f64 x z)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
x
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 y z)
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(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x y) x))
(pow.f64 (fma.f64 x y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y x))))
(cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 y x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(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)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 z y))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 x (*.f64 z y))))
(*.f64 (fma.f64 z y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z y x))
(*.f64 (cbrt.f64 (fma.f64 z y x)) (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y x)))
(*.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 z y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 x (*.f64 z y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z y) x))
(pow.f64 (fma.f64 z y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z y x))))
(cbrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z y x)))
(log1p.f64 (expm1.f64 (fma.f64 z y x)))
(exp.f64 (log.f64 (fma.f64 z y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z y x)) #s(literal 1 binary64)))
(fma.f64 z y x)
(fma.f64 y z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z y))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y))
Outputs
(/.f64 x y)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x (*.f64 y z)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x (*.f64 y z)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x (*.f64 y z)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (neg.f64 z))
z
(/.f64 x y)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 y z)) y)
(/.f64 (fma.f64 y z x) y)
(/.f64 (+.f64 x (*.f64 y z)) y)
(/.f64 (fma.f64 y z x) y)
(/.f64 (+.f64 x (*.f64 y z)) y)
(/.f64 (fma.f64 y z x) y)
z
z
x
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(*.f64 y z)
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 y z))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 y z))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 y z))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 y (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(+.f64 (*.f64 y z) (*.f64 y (+.f64 x (/.f64 x y))))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (*.f64 y (+.f64 x (/.f64 x y))))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 (*.f64 y z) (*.f64 y (+.f64 x (/.f64 x y))))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))))
(*.f64 z (+.f64 y (/.f64 (*.f64 y (+.f64 x (/.f64 x y))) z)))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) z)
(+.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) z)
(+.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (/.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x))))
(+.f64 x (/.f64 x y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
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(log.f64 (exp.f64 (fma.f64 x y x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y x))))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(fma.f64 x y x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x y))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(-.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)
(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)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z y x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 z y))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 x (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y z) x))
(*.f64 (fma.f64 z y x) #s(literal 1 binary64))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(*.f64 #s(literal 1 binary64) (fma.f64 z y x))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(*.f64 (cbrt.f64 (fma.f64 z y x)) (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y x)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(*.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (*.f64 y (-.f64 (*.f64 y z) x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (*.f64 y (-.f64 (*.f64 y z) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (*.f64 y (-.f64 (*.f64 y z) x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (*.f64 y (-.f64 (*.f64 y z) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y z) x))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (*.f64 y (-.f64 (*.f64 y z) x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (*.f64 y (-.f64 (*.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 z y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 x (*.f64 z y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y z) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (*.f64 y (-.f64 (*.f64 y z) x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (*.f64 y (-.f64 (*.f64 y z) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y z) x))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z y) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 x (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y z) x))
(pow.f64 (fma.f64 z y x) #s(literal 1 binary64))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 3 binary64))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(pow.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(pow.f64 (sqrt.f64 (fma.f64 z y x)) #s(literal 2 binary64))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(sqrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(log.f64 (exp.f64 (fma.f64 z y x)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z y x))))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(cbrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(expm1.f64 (log1p.f64 (fma.f64 z y x)))
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(log1p.f64 (expm1.f64 (fma.f64 z y x)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(exp.f64 (log.f64 (fma.f64 z y x)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z y x)) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 z y x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 y z x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 #s(literal 1 binary64) x (*.f64 z y))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 #s(literal 1 binary64) (*.f64 z y) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z y))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) x)
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y))
(*.f64 y (+.f64 (/.f64 x y) z))
(fma.f64 y z x)

eval70.0ms (1.4%)

Compiler

Compiled 5043 to 1107 computations (78% saved)

prune49.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3504354
Fresh000
Picked123
Done101
Total3526358
Accuracy
100.0%
Counts
358 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.7%
(+.f64 x (*.f64 y z))
63.9%
(+.f64 x (*.f64 y x))
70.0%
(*.f64 z (+.f64 y (/.f64 x z)))
64.1%
(*.f64 y (+.f64 x z))
39.8%
(*.f64 y z)
36.4%
x
Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify293.0ms (5.8%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff-6144
(*.f64 z (+.f64 y (/.f64 x z)))
cost-diff0
(/.f64 x z)
cost-diff0
(+.f64 y (/.f64 x z))
cost-diff0
(+.f64 x z)
cost-diff0
(*.f64 y (+.f64 x z))
cost-diff0
(*.f64 y z)
Rules
1344×cube-prod
535×fma-define
535×associate-/r/
531×distribute-rgt-out
527×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
015150
130150
245150
351143
454137
565137
6112137
7276137
81168137
91917137
102539137
113699137
124984137
135812137
146869137
157290137
167436137
177531137
187619137
197700137
Stop Event
node limit
Calls
Call 1
Inputs
x
(*.f64 y z)
y
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
x
z
(*.f64 z (+.f64 y (/.f64 x z)))
z
(+.f64 y (/.f64 x z))
y
(/.f64 x z)
x
Outputs
x
(*.f64 y z)
y
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
x
z
(*.f64 z (+.f64 y (/.f64 x z)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y z x)
z
(+.f64 y (/.f64 x z))
y
(/.f64 x z)
x

localize44.0ms (0.9%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(+.f64 y (/.f64 x z))
accuracy87.8%
(*.f64 z (+.f64 y (/.f64 x z)))
accuracy100.0%
(+.f64 x z)
accuracy100.0%
(*.f64 y (+.f64 x z))
accuracy100.0%
(*.f64 y z)
Results
30.0ms256×0valid
Compiler

Compiled 39 to 10 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (48% of total)
ival-div: 4.0ms (32% of total)
ival-add: 3.0ms (24% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.3%)

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

39 calls:

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

rewrite137.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
727×log1p-expm1-u
727×expm1-log1p-u
564×log-prod
432×fma-define
222×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014101
1202101
23226101
Stop Event
node limit
Counts
5 → 262
Calls
Call 1
Inputs
(*.f64 y (+.f64 x z))
(+.f64 x z)
(+.f64 y (/.f64 x z))
(/.f64 x z)
(*.f64 z (+.f64 y (/.f64 x z)))
Outputs
(+.f64 (*.f64 y z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 y x) (*.f64 y z)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 y x) (*.f64 y z)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 x z))
(pow.f64 (*.f64 y (+.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x z)))))
(log.f64 (*.f64 (exp.f64 (*.f64 y z)) (exp.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y z))
(fma.f64 y z (*.f64 y x))
(fma.f64 x y (*.f64 y z))
(fma.f64 z y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 x z)))
(*.f64 (+.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x z))
(*.f64 (cbrt.f64 (+.f64 x z)) (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x z)))
(*.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 x z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))
(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))
(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))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(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)))
(fma.f64 x #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x z)
(fma.f64 #s(literal 1 binary64) z x)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 y (/.f64 x z))))
(*.f64 (+.f64 y (/.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 x z)))
(*.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (/.f64 x z))))
(*.f64 (sqrt.f64 (+.f64 y (/.f64 x z))) (sqrt.f64 (+.f64 y (/.f64 x z))))
(*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 x z)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 z x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 y (/.f64 x z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 x z) y))
(pow.f64 (+.f64 y (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (/.f64 x z)))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (/.f64 x z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z)))))
(log.f64 (*.f64 (exp.f64 (/.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y (/.f64 x z))))
(log1p.f64 (expm1.f64 (+.f64 y (/.f64 x z))))
(exp.f64 (log.f64 (+.f64 y (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) y)
(fma.f64 (/.f64 x z) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
(fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) y)
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 x z))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) y)
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) z) x y)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) y)
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) y)
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) y)
(+.f64 #s(literal 0 binary64) (/.f64 x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x z))) (cbrt.f64 (exp.f64 (/.f64 x z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(+.f64 (*.f64 y z) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 z (/.f64 x z)) (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y (/.f64 x z))))
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 z (/.f64 x z)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y (/.f64 x z))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (*.f64 (*.f64 z (/.f64 x z)) (*.f64 z (/.f64 x z))) (*.f64 (*.f64 y z) (*.f64 z (/.f64 x z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 z (/.f64 x z)) (*.f64 z (/.f64 x z)))) (-.f64 (*.f64 y z) (*.f64 z (/.f64 x z))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (-.f64 y (/.f64 x z)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) z) (-.f64 y (/.f64 x z)))
(pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y (/.f64 x z))))))
(log.f64 (*.f64 (exp.f64 (*.f64 z (/.f64 x z))) (exp.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 z (/.f64 x z)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 y z))
(fma.f64 z y (*.f64 z (/.f64 x z)))
(fma.f64 z (/.f64 x z) (*.f64 y z))
(fma.f64 (/.f64 x z) z (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 z (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x z)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) z) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 x z)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 z (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 z (/.f64 x z)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) z) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x z)) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 z (/.f64 x z)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) z) (*.f64 y z))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 (*.f64 z (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 z (/.f64 x z))) (cbrt.f64 (*.f64 z (/.f64 x z)))) (cbrt.f64 (*.f64 z (/.f64 x z))) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 z (/.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 x z))) (sqrt.f64 (*.f64 z (/.f64 x z))) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 x z))) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 z)) (*.f64 y z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 y z))
(fma.f64 (*.f64 z (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y z))
(fma.f64 (*.f64 (/.f64 x z) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y z))

simplify198.0ms (3.9%)

Algorithm
egg-herbie
Rules
475×fma-neg
363×distribute-lft-neg-in
356×distribute-rgt-neg-in
278×associate-*r*
260×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059810345
113939197
242679191
Stop Event
node limit
Counts
361 → 348
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
z
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
x
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(/.f64 x z)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
y
(/.f64 x z)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 x z)
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
y
y
x
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y z))
(*.f64 y z)
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
x
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y z))
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y z)
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y z))
x
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(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(+.f64 (*.f64 y z) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 z (/.f64 x z)) (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y (/.f64 x z))))
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 z (/.f64 x z)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y (/.f64 x z))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (*.f64 (*.f64 z (/.f64 x z)) (*.f64 z (/.f64 x z))) (*.f64 (*.f64 y z) (*.f64 z (/.f64 x z))))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 z (/.f64 x z)) (*.f64 z (/.f64 x z)))) (-.f64 (*.f64 y z) (*.f64 z (/.f64 x z))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (-.f64 y (/.f64 x z)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) z) (-.f64 y (/.f64 x z)))
(pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y (/.f64 x z))))))
(log.f64 (*.f64 (exp.f64 (*.f64 z (/.f64 x z))) (exp.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 z (/.f64 x z)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 y z))
(fma.f64 z y (*.f64 z (/.f64 x z)))
(fma.f64 z (/.f64 x z) (*.f64 y z))
(fma.f64 (/.f64 x z) z (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 z (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x z)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) z) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 x z)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 z (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 z (/.f64 x z)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) z) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x z)) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 z (/.f64 x z)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) z) (*.f64 y z))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 (*.f64 z (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 z (/.f64 x z))) (cbrt.f64 (*.f64 z (/.f64 x z)))) (cbrt.f64 (*.f64 z (/.f64 x z))) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 z (/.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 x z))) (sqrt.f64 (*.f64 z (/.f64 x z))) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 x z))) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 z)) (*.f64 y z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 y z))
(fma.f64 (*.f64 z (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z (/.f64 x z)))
(fma.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y z))
(fma.f64 (*.f64 (/.f64 x z) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y z))
Outputs
(*.f64 y z)
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (+.f64 y (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) y))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(+.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (+.f64 z x))
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
z
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(+.f64 z x)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(+.f64 z x)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(+.f64 z x)
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(+.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(+.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(+.f64 z x)
(/.f64 x z)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) z) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x z) y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) z) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x z) y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) z) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x z) y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 x z) y))))
y
(/.f64 x z)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)))
(/.f64 x z)
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 (*.f64 y z) x) z)
(/.f64 (fma.f64 y z x) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 (*.f64 y z) x) z)
(/.f64 (fma.f64 y z x) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (+.f64 (*.f64 y z) x) z)
(/.f64 (fma.f64 y z x) z)
y
y
x
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 y z)
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 x (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y z x))) (cbrt.f64 (exp.f64 (fma.f64 y z x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y z x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y z x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y (/.f64 x z))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 x z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (*.f64 (*.f64 z (/.f64 x z)) (*.f64 z (/.f64 x z))) (*.f64 (*.f64 y z) (*.f64 z (/.f64 x z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 x z)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (*.f64 z (/.f64 x z)) (-.f64 (*.f64 z (/.f64 x z)) (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 z (/.f64 x z)) (*.f64 z (/.f64 x z)))) (-.f64 (*.f64 y z) (*.f64 z (/.f64 x z))))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 z (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64))))
(*.f64 z (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (-.f64 y (/.f64 x z)))
(*.f64 z (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 y (/.f64 x z))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 z (-.f64 y (/.f64 x z))))
(*.f64 z (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal -2 binary64))) (-.f64 y (/.f64 x z))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 z (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64))))
(*.f64 z (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) z) (-.f64 y (/.f64 x z)))
(*.f64 z (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 y (/.f64 x z))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 z (-.f64 y (/.f64 x z))))
(*.f64 z (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal -2 binary64))) (-.f64 y (/.f64 x z))))
(pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 1 binary64))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 3 binary64))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(pow.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 2 binary64))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 2 binary64)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(log.f64 (pow.f64 (exp.f64 (+.f64 y (/.f64 x z))) z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y (/.f64 x z))))))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(log.f64 (*.f64 (exp.f64 (*.f64 z (/.f64 x z))) (exp.f64 (*.f64 y z))))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y (/.f64 x z))) #s(literal 3 binary64)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64))))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(exp.f64 (log.f64 (*.f64 z (+.f64 y (/.f64 x z)))))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y (/.f64 x z)))) #s(literal 1 binary64)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 y z (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z y (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 z (/.f64 x z) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (/.f64 x z) z (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) z) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) z) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) z) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 (*.f64 z (/.f64 x z)) #s(literal 1 binary64)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 z (/.f64 x z))) (cbrt.f64 (*.f64 z (/.f64 x z)))) (cbrt.f64 (*.f64 z (/.f64 x z))) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 x z))) (sqrt.f64 (*.f64 z (/.f64 x z))) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 x z))) (*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 x z))) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 z)) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 z (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z (/.f64 x z)))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (*.f64 (/.f64 x z) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y z))
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)

eval44.0ms (0.9%)

Compiler

Compiled 4485 to 969 computations (78.4% saved)

prune53.0ms (1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3611362
Fresh000
Picked044
Done022
Total3617368
Accuracy
100.0%
Counts
368 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.7%
(+.f64 x (*.f64 y z))
63.9%
(+.f64 x (*.f64 y x))
70.0%
(*.f64 z (+.f64 y (/.f64 x z)))
64.1%
(*.f64 y (+.f64 x z))
39.8%
(*.f64 y z)
29.4%
(*.f64 y x)
36.4%
x
Compiler

Compiled 50 to 32 computations (36% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
1921
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 y x)
y
x
Outputs
(*.f64 y x)
y
x

localize16.0ms (0.3%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y x)
Results
12.0ms256×0valid
Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (79.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval2.0ms (0%)

Compiler

Compiled 83 to 33 computations (60.2% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New14014
Fresh000
Picked011
Done066
Total14721
Accuracy
100.0%
Counts
21 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.7%
(+.f64 x (*.f64 y z))
63.9%
(+.f64 x (*.f64 y x))
70.0%
(*.f64 z (+.f64 y (/.f64 x z)))
64.1%
(*.f64 y (+.f64 x z))
39.8%
(*.f64 y z)
29.4%
(*.f64 y x)
36.4%
x
Compiler

Compiled 104 to 52 computations (50% saved)

regimes17.0ms (0.3%)

Counts
10 → 1
Calls
Call 1
Inputs
x
(*.f64 y x)
(*.f64 y z)
(*.f64 y (+.f64 x z))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y z))
(*.f64 z (+.f64 y (/.f64 x z)))
(+.f64 x (*.f64 y (+.f64 z x)))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(fma.f64 y (+.f64 x z) x)
Outputs
(fma.f64 y (+.f64 x z) x)
Calls

4 calls:

5.0ms
z
4.0ms
x
4.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes19.0ms (0.4%)

Counts
9 → 1
Calls
Call 1
Inputs
x
(*.f64 y x)
(*.f64 y z)
(*.f64 y (+.f64 x z))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y z))
(*.f64 z (+.f64 y (/.f64 x z)))
(+.f64 x (*.f64 y (+.f64 z x)))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
Calls

4 calls:

8.0ms
z
3.0ms
x
3.0ms
y
3.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes13.0ms (0.3%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(*.f64 y x)
(*.f64 y z)
(*.f64 y (+.f64 x z))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y z))
(*.f64 z (+.f64 y (/.f64 x z)))
Outputs
(*.f64 y (+.f64 x z))
(+.f64 x (*.f64 y z))
(*.f64 y (+.f64 x z))
Calls

3 calls:

7.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
88.1%4x
98.5%3y
92.7%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes19.0ms (0.4%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 y x)
(*.f64 y z)
(*.f64 y (+.f64 x z))
(+.f64 x (*.f64 y x))
Outputs
(*.f64 y (+.f64 x z))
(+.f64 x (*.f64 y x))
(*.f64 y (+.f64 x z))
Calls

3 calls:

13.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
81.0%3x
83.7%3z
86.4%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 y x)
(*.f64 y z)
(*.f64 y (+.f64 x z))
Outputs
(*.f64 y (+.f64 x z))
x
(*.f64 y (+.f64 x z))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
86.1%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts
3 → 4
Calls
Call 1
Inputs
x
(*.f64 y x)
(*.f64 y z)
Outputs
(*.f64 y x)
x
(*.f64 y z)
(*.f64 y x)
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
56.7%4x
62.5%4z
68.1%4y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

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

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
62.4%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
36.4%1x
36.4%1z
36.4%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch44.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.002666485068394585
40194341.40782641
27.0ms
-3.670023834238692
-9.389920988006406e-8
Results
30.0ms304×0valid
Compiler

Compiled 358 to 239 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (51.8% of total)
ival-mult: 2.0ms (34.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch8.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
1.970450476944053e-74
2.8442377976991054e-74
4.0ms
-9.389920988006406e-8
-7.771294515099444e-8
Results
4.0ms96×0valid
Compiler

Compiled 124 to 83 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (57.4% of total)
ival-mult: 1.0ms (57.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
1.970450476944053e-74
2.8442377976991054e-74
7.0ms
-9.389920988006406e-8
-7.771294515099444e-8
Results
8.0ms96×0valid
Compiler

Compiled 100 to 71 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 4.0ms (82.5% of total)
ival-mult: 1.0ms (20.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
4.6028900400450187e+111
1.4185886534408255e+112
4.0ms
1.970450476944053e-74
2.8442377976991054e-74
4.0ms
-9.389920988006406e-8
-7.771294515099444e-8
Results
12.0ms176×0valid
Compiler

Compiled 158 to 115 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 2.0ms (59.4% of total)
ival-mult: 1.0ms (29.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
0.002666485068394585
40194341.40782641
4.0ms
-9.389920988006406e-8
-7.771294515099444e-8
Results
15.0ms208×0valid
Compiler

Compiled 172 to 128 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (49.7% of total)
ival-mult: 2.0ms (49.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
048396
175396
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x (*.f64 y z)) (*.f64 y (+.f64 x z))))
(if (<=.f64 y #s(literal -3022314549036573/37778931862957161709568 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 6874996420128891/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (+.f64 x (*.f64 y x)) (*.f64 y (+.f64 x z))))
(if (<=.f64 y #s(literal -3022314549036573/37778931862957161709568 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 7129625917170701/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) x (*.f64 y (+.f64 x z))))
(if (<=.f64 y #s(literal -3475661731392059/37778931862957161709568 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 7129625917170701/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) x (if (<=.f64 y #s(literal 7799999999999999583094712757772034825746500941257146300402670893484005466430609314267515144615951486087963082752 binary64)) (*.f64 y z) (*.f64 y x))))
(if (<=.f64 y #s(literal -3475661731392059/37778931862957161709568 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) x (*.f64 y x)))
x
Outputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 x (*.f64 y z)) (*.f64 y (+.f64 x z))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 y (+.f64 x z)) (+.f64 x (*.f64 y z)))
(if (<=.f64 y #s(literal -3022314549036573/37778931862957161709568 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 6874996420128891/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (+.f64 x (*.f64 y x)) (*.f64 y (+.f64 x z))))
(if (or (<=.f64 y #s(literal -3022314549036573/37778931862957161709568 binary64)) (not (<=.f64 y #s(literal 6874996420128891/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)))) (*.f64 y (+.f64 x z)) (+.f64 x (*.f64 y x)))
(if (<=.f64 y #s(literal -3022314549036573/37778931862957161709568 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 7129625917170701/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) x (*.f64 y (+.f64 x z))))
(if (or (<=.f64 y #s(literal -3022314549036573/37778931862957161709568 binary64)) (not (<=.f64 y #s(literal 7129625917170701/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)))) (*.f64 y (+.f64 x z)) x)
(if (<=.f64 y #s(literal -3475661731392059/37778931862957161709568 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 7129625917170701/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) x (if (<=.f64 y #s(literal 7799999999999999583094712757772034825746500941257146300402670893484005466430609314267515144615951486087963082752 binary64)) (*.f64 y z) (*.f64 y x))))
(if (<=.f64 y #s(literal -3475661731392059/37778931862957161709568 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) x (*.f64 y x)))
(if (or (<=.f64 y #s(literal -3475661731392059/37778931862957161709568 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 y x) x)
x

soundness782.0ms (15.4%)

Rules
994×fma-neg
513×fma-define
496×associate-/l*
475×fma-neg
363×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036369
1106313
2363313
3949313
42595313
53322313
63432313
73432313
84189313
94189313
045814233
1110113204
2336513059
059810345
113939197
242679191
Stop Event
done
node limit
node limit
saturated
Compiler

Compiled 156 to 61 computations (60.9% saved)

preprocess63.0ms (1.2%)

Compiler

Compiled 230 to 90 computations (60.9% saved)

end0.0ms (0%)

Profiling

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