Main:bigenough2 from A

Time bar (total: 6.0s)

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)

sample1.5s (24.4%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 479.0ms
ival-add: 399.0ms (83.3% of total)
ival-mult: 71.0ms (14.8% of total)
const: 7.0ms (1.5% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess182.0ms (3.1%)

Algorithm
egg-herbie
Rules
994×fmm-def
513×fma-define
210×distribute-rgt-in
149×sub-neg
145×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036369
1106313
2363313
3949313
42595313
53332313
63442313
73442313
84199313
94199313
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)))
(fma.f64 (neg.f64 y) (+.f64 x z) x)
(+.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)

explain73.0ms (1.2%)

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
36.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 6.0ms (57.9% of total)
ival-mult: 4.0ms (38.6% 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)

simplify17.0ms (0.3%)

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

localize42.0ms (0.7%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x z)
accuracy100.0%
(fma.f64 y (+.f64 x z) x)
accuracy100.0%
(+.f64 z x)
accuracy100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
accuracy100.0%
(*.f64 y (+.f64 z x))
Results
27.0ms256×0valid
Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (54% of total)
ival-mult: 4.0ms (43.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

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

rewrite299.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
977×log1p-expm1-u
977×expm1-log1p-u
527×fma-define
407×log-prod
227×fmm-def
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)

simplify298.0ms (5%)

Algorithm
egg-herbie
Rules
499×associate-/l*
370×cancel-sign-sub-inv
311×fmm-def
304×associate-/r*
291×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045814233
1110213204
2337213059
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)

eval32.0ms (0.5%)

Compiler

Compiled 3417 to 761 computations (77.7% saved)

prune63.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2505255
Fresh000
Picked112
Done000
Total2516257
Accuracy
100.0%
Counts
257 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
88.8%
(+.f64 x (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
100.0%
(+.f64 x (*.f64 y (+.f64 z x)))
77.9%
(+.f64 x (*.f64 y z))
58.0%
(+.f64 x (*.f64 y x))
58.0%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 110 to 68 computations (38.2% saved)

simplify282.0ms (4.7%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff-6016
(+.f64 x (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 x (/.f64 y z))
cost-diff256
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
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-6272
(*.f64 x (+.f64 y #s(literal 1 binary64)))
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff-6272
(+.f64 x (*.f64 y z))
cost-diff-6144
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 y z)
Rules
1383×fma-define
1227×associate-/l*
667×associate-/l/
389×associate-/r*
348×associate-/r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022383
153347
2103339
3201325
4305325
5566325
61286325
72901325
83933325
94161325
104233325
114285325
124324325
134991325
145388325
155446325
165487325
175526325
185567325
195610325
205655325
215702325
227289325
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
(+.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 y x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(+.f64 x (*.f64 y x))
x
(*.f64 y x)
y
(+.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(+.f64 x (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
x
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
z
(+.f64 y (*.f64 x (/.f64 y z)))
y
(*.f64 x (/.f64 y z))
(/.f64 y z)
Outputs
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
(+.f64 x (+.f64 (*.f64 y z) (*.f64 x y)))
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
x
(*.f64 y z)
y
z
(*.f64 y x)
(*.f64 x y)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
x
(+.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(+.f64 x (*.f64 y x))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
x
(*.f64 y x)
(*.f64 x y)
y
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
x
(*.f64 y z)
y
z
(+.f64 x (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
(+.f64 x (+.f64 (*.f64 y z) (*.f64 x y)))
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 y (+.f64 x z) x)
x
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 y (+.f64 x z))
z
(+.f64 y (*.f64 x (/.f64 y z)))
(+.f64 y (/.f64 (*.f64 x y) z))
(fma.f64 x (/.f64 y z) y)
y
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(/.f64 y z)

localize76.0ms (1.3%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y (*.f64 x (/.f64 y z)))
accuracy100.0%
(+.f64 x (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
accuracy93.6%
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
accuracy91.8%
(*.f64 x (/.f64 y z))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(+.f64 x (*.f64 y z))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(+.f64 x (*.f64 y x))
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(+.f64 x (*.f64 y z))
accuracy99.0%
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
Results
57.0ms256×0valid
Compiler

Compiled 97 to 17 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 13.0ms (53.3% of total)
ival-add: 9.0ms (36.9% of total)
ival-div: 2.0ms (8.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (0.5%)

Counts
12 → 291
Calls
Call 1
Inputs
#<alt (*.f64 y z)>
#<alt (*.f64 y x)>
#<alt (+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 y #s(literal 1 binary64))>
#<alt (*.f64 x (+.f64 y #s(literal 1 binary64)))>
#<alt (+.f64 x (*.f64 y x))>
#<alt (*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))>
#<alt (*.f64 x (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (+.f64 x (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))>
#<alt (+.f64 y (*.f64 x (/.f64 y z)))>
Outputs
#<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 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 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.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) x) (+.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) x) (+.f64 (*.f64 #s(literal -1 binary64) 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 (*.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)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.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 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 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 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 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 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))>
#<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 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<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 x>
#<alt (+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))>
#<alt (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (*.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (/.f64 (*.f64 x y) z))>
#<alt (+.f64 y (/.f64 (*.f64 x y) z))>
#<alt (+.f64 y (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x (+.f64 (/.f64 y x) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 (/.f64 y x) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 (/.f64 y x) (/.f64 y z)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 y z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 y z)) z)>
#<alt (/.f64 (+.f64 (*.f64 x y) (*.f64 y z)) z)>
#<alt y>
#<alt (+.f64 y (/.f64 (*.f64 x y) z))>
#<alt (+.f64 y (/.f64 (*.f64 x y) z))>
#<alt (+.f64 y (/.f64 (*.f64 x y) z))>
#<alt y>
#<alt (+.f64 y (/.f64 (*.f64 x y) z))>
#<alt (+.f64 y (/.f64 (*.f64 x y) z))>
#<alt (+.f64 y (/.f64 (*.f64 x y) z))>
Calls

87 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(* x (/ y z))
2.0ms
z
@-inf
(* y z)
1.0ms
x
@-inf
(* x (+ y 1))
1.0ms
z
@-inf
(* z (+ y (* x (/ y z))))
1.0ms
y
@-inf
(* z (+ y (* x (/ y z))))

rewrite269.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
1260×log1p-expm1-u
178×expm1-log1p-u
177×add-cube-cbrt
174×add-exp-log
174×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022291
1388260
26002260
Stop Event
node limit
Counts
12 → 387
Calls
Call 1
Inputs
(*.f64 y z)
(*.f64 y x)
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
(+.f64 x (*.f64 y z))
(+.f64 y #s(literal 1 binary64))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(+.f64 x (*.f64 y x))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(/.f64 y z)
(+.f64 x (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
(+.f64 y (*.f64 x (/.f64 y z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 y (+.f64 z x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (-.f64 (fma.f64 y z x) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y z x) (*.f64 y x))))
(*.f64 (+.f64 x (*.f64 y (+.f64 z x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (+.f64 z x))))
(*.f64 (cbrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))))
(*.f64 (sqrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))) (sqrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (fma.f64 y z x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y z x) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (fma.f64 y z x)))) (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y z x) (*.f64 y x)) (-.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (fma.f64 y z x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (fma.f64 y z x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (fma.f64 y z x) (*.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (fma.f64 y z x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 y z x) (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (+.f64 z x)) (*.f64 y (+.f64 z x))) (*.f64 x (*.f64 y (+.f64 z x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 z x)) (*.f64 y (+.f64 z x)))) (-.f64 x (*.f64 y (+.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y z x) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (fma.f64 y z x)))
(pow.f64 (+.f64 x (*.f64 y (+.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (*.f64 y (+.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 y (+.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (*.f64 y (+.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (*.f64 y (+.f64 z x))))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (+.f64 z x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y (+.f64 z x)))))
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(/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))) (-.f64 y (*.f64 y (/.f64 x z))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) z) (-.f64 y (*.f64 y (/.f64 x z))))
(pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 x (/.f64 y z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 z (*.f64 y (/.f64 x z))))
(fma.f64 z y (*.f64 z (*.f64 y (/.f64 x z))))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 z (*.f64 y (/.f64 x z))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 z (*.f64 y (/.f64 x z))))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 z (*.f64 y (/.f64 x z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 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 (exp.f64 (*.f64 y (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x z)))))
(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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 z (fma.f64 x (/.f64 y z) y)))) (/.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)) (-.f64 x (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(*.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (/.f64 y z) y) x))
(*.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)))
(*.f64 (sqrt.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)) (sqrt.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y 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 (fma.f64 x (/.f64 y z) y)) (-.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) (-.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) x))) (+.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z (fma.f64 x (/.f64 y z) y))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) (-.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x z) (fma.f64 x (/.f64 y z) y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (fma.f64 x (/.f64 y z) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) (-.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z (fma.f64 x (/.f64 y z) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) x))
(pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)) #s(literal 1 binary64)))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z (fma.f64 x (/.f64 y z) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (/.f64 y z) y)) x)
(fma.f64 (fma.f64 x (/.f64 y z) y) z x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z (fma.f64 x (/.f64 y z) y)))
(fma.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (fma.f64 x (/.f64 y z) y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y z) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 y (/.f64 x z)))) (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (-.f64 y (*.f64 y (/.f64 x z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) y))
(*.f64 (fma.f64 x (/.f64 y z) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) y)) (sqrt.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))) (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 y (/.f64 x z))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (*.f64 y (/.f64 x z))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (-.f64 y (*.f64 y (/.f64 x z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 y (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 x z)) y))
(pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) y)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)) y)
(fma.f64 (/.f64 y z) x y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 x z))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (/.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (/.f64 x z)))

simplify323.0ms (5.4%)

Algorithm
egg-herbie
Rules
886×fmm-def
422×associate-*r*
369×associate-*l*
323×exp-prod
319×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081223157
1192521977
2663121969
Stop Event
node limit
Counts
678 → 513
Calls
Call 1
Inputs
(*.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 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))
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(*.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))) (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 y (/.f64 x z))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (*.f64 y (/.f64 x z))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (-.f64 y (*.f64 y (/.f64 x z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 y (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 x z)) y))
(pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) y)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)) y)
(fma.f64 (/.f64 y z) x y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 x z))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (/.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (/.f64 x z)))
Outputs
(*.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 y z)
(+.f64 (*.f64 x (+.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 #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 #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 #s(literal 1 binary64) y))
(fma.f64 x y 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 y (/.f64 z x)))))
(*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (/.f64 z x)))))
(*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y (/.f64 z x)))))
(*.f64 x (+.f64 y (fma.f64 y (/.f64 z x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y #s(literal -1 binary64) #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 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 y (/.f64 z x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 (fma.f64 y (/.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.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 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 y (/.f64 z x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 (fma.f64 y (/.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.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 (neg.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 y (/.f64 z x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 (fma.f64 y (/.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
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 (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 z (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 z (+.f64 x (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
(*.f64 y (+.f64 z (+.f64 x (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 x y)))))
(*.f64 (-.f64 (-.f64 (neg.f64 z) x) (/.f64 x y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 x y)))))
(*.f64 (-.f64 (-.f64 (neg.f64 z) x) (/.f64 x y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 x y)))))
(*.f64 (-.f64 (-.f64 (neg.f64 z) x) (/.f64 x y)) (neg.f64 y))
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (+.f64 (*.f64 x y) (*.f64 y z)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(*.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 x (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (*.f64 x (/.f64 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 x (*.f64 x y)) z)))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (*.f64 x (/.f64 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 x (*.f64 x y)) z)))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (*.f64 x (/.f64 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 x (*.f64 x y)) z)))))
(*.f64 z (+.f64 y (+.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 (fma.f64 x y x) z)))
(*.f64 y z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
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)))
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)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 y (/.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 z (+.f64 y (/.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 z (+.f64 y (/.f64 x z)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
x
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(*.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 y (+.f64 x (/.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 (+.f64 x (/.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 (+.f64 x (/.f64 x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(fma.f64 x y x)
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(pow.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)) #s(literal 2 binary64))
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)))
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x))))
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x) #s(literal 3 binary64)))
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)))
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(exp.f64 (log.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)))
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 x (/.f64 y z) y) x)) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 z (fma.f64 x (/.f64 y z) y)))
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 x (/.f64 y z) y)) x)
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(fma.f64 (fma.f64 x (/.f64 y z) y) z x)
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) x)
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z (fma.f64 x (/.f64 y z) y)))
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(fma.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) y))) x)
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (fma.f64 x (/.f64 y z) y)))
(+.f64 x (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))))
(fma.f64 z (fma.f64 x (/.f64 y z) y) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 y z) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 y (/.f64 x z)))) (/.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (-.f64 y (*.f64 y (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))) (-.f64 y (*.f64 x (/.f64 y z))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) y))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(*.f64 (fma.f64 x (/.f64 y z) y) #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) y)) (sqrt.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(*.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 x (/.f64 y z)) (-.f64 (*.f64 x (/.f64 y z)) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (*.f64 y (+.f64 y (*.f64 (/.f64 x z) (*.f64 y (+.f64 (/.f64 x z) #s(literal -1 binary64)))))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))) (-.f64 y (*.f64 x (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))) (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 x (/.f64 y z)) (-.f64 (*.f64 x (/.f64 y z)) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (*.f64 y (+.f64 y (*.f64 (/.f64 x z) (*.f64 y (+.f64 (/.f64 x z) #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 y (/.f64 x z))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))) (-.f64 y (*.f64 x (/.f64 y z))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 x (/.f64 y z)) (-.f64 (*.f64 x (/.f64 y z)) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (*.f64 y (+.f64 y (*.f64 (/.f64 x z) (*.f64 y (+.f64 (/.f64 x z) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (*.f64 y (/.f64 x z))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 x z)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (*.f64 y (-.f64 y (*.f64 x (/.f64 y z))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (-.f64 y (*.f64 y (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))) (-.f64 y (*.f64 x (/.f64 y z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 x (/.f64 y z)) (-.f64 (*.f64 x (/.f64 y z)) y)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64))) (*.f64 y (+.f64 y (*.f64 (/.f64 x z) (*.f64 y (+.f64 (/.f64 x z) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 y (/.f64 x z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 x (/.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 (/.f64 x z) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 y (/.f64 x z)) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 x (/.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 (/.f64 x z) #s(literal -1 binary64))))
(pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 1 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(pow.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 2 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x (/.f64 y z) y))
(log.f64 (exp.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 y z) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(exp.f64 (log.f64 (fma.f64 x (/.f64 y z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 y z) y)) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 x (/.f64 y z) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (/.f64 x z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 (/.f64 y z) x y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 x z))) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (/.f64 x z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (/.f64 x z)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (/.f64 y z) y)

eval78.0ms (1.3%)

Compiler

Compiled 8892 to 1652 computations (81.4% saved)

prune236.0ms (4%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New5954599
Fresh000
Picked055
Done101
Total5969605
Accuracy
100.0%
Counts
605 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
88.8%
(+.f64 x (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
77.9%
(+.f64 x (*.f64 y z))
58.0%
(+.f64 x (*.f64 y x))
65.4%
(*.f64 y (+.f64 x z))
45.1%
(*.f64 y z)
58.0%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
23.8%
(*.f64 x y)
35.5%
x
Compiler

Compiled 74 to 47 computations (36.5% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x z)
cost-diff0
(*.f64 y (+.f64 x z))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 x y)
Rules
fma-define
*-commutative
distribute-lft-in
distribute-rgt-in
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01393
12093
22493
32693
Stop Event
saturated
Calls
Call 1
Inputs
x
(*.f64 x y)
x
y
(*.f64 y z)
y
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
x
z
Outputs
x
(*.f64 x y)
x
y
(*.f64 y z)
y
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
x
z

localize33.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x z)
accuracy100.0%
(*.f64 y (+.f64 x z))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 x y)
Results
24.0ms256×0valid
Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (77.9% of total)
ival-add: 1.0ms (11.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
3 → 42
Calls
Call 1
Inputs
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x z))>
#<alt (+.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))))>
Calls

21 calls:

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

rewrite106.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
698×log1p-expm1-u
698×expm1-log1p-u
694×prod-diff
357×log-prod
254×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
114148
2190548
Stop Event
node limit
Counts
3 → 150
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 y (+.f64 x z))
(+.f64 x z)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.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 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(+.f64 (*.f64 y z) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z)))
(+.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 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x y) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 x y) (*.f64 y z)))
(/.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 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.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 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 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 (*.f64 y z))))
(log.f64 (*.f64 (exp.f64 (*.f64 y z)) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (exp.f64 (*.f64 y z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 x z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 y z))
(fma.f64 x y (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y z))
(fma.f64 y x (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 y z))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 z y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(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 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 x y))
(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) x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 x y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(-.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 (+.f64 x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x z))
(*.f64 (cbrt.f64 (+.f64 x z)) (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x z)))
(*.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)))
(*.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 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 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 (+.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 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 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 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))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x z))) #s(literal 2 binary64)))
(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 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)

simplify139.0ms (2.3%)

Algorithm
egg-herbie
Rules
616×times-frac
343×distribute-lft-in
314×distribute-rgt-in
293×*-commutative
259×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03554815
17904703
221084681
369424681
Stop Event
node limit
Counts
192 → 194
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 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.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 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(+.f64 (*.f64 x y) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(+.f64 (*.f64 y z) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z)))
(+.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 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x y) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (*.f64 x y) (*.f64 y z)))
(/.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 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.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 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 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 (*.f64 y z))))
(log.f64 (*.f64 (exp.f64 (*.f64 y z)) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (exp.f64 (*.f64 y z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 x z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 y z))
(fma.f64 x y (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y z))
(fma.f64 y x (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 y z))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 z y (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(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 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 x y))
(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) x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 x y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(-.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 (+.f64 x z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x z))
(*.f64 (cbrt.f64 (+.f64 x z)) (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x z)))
(*.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)))
(*.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 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 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 (+.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 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 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 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))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x z))) #s(literal 2 binary64)))
(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 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 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
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(+.f64 z x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x z)))
(+.f64 z x)
(*.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)))
(+.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 #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 (+.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 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 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 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 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 #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 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.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 #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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 x #s(literal 2 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 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 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 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(/.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 #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 (+.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 (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 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 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(pow.f64 (+.f64 x z) #s(literal 1 binary64))
(+.f64 z x)
(pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 3 binary64))
(+.f64 z x)
(pow.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 z x)
(pow.f64 (sqrt.f64 (+.f64 x z)) #s(literal 2 binary64))
(+.f64 z x)
(pow.f64 (/.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)))) #s(literal -1 binary64))
(/.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 (+.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))))
(pow.f64 (/.f64 (-.f64 x z) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 x z))
(sqrt.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)))
(+.f64 z x)
(log.f64 (exp.f64 (+.f64 x z)))
(+.f64 z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x z))))
(+.f64 z x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(+.f64 z x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 z)))
(+.f64 z x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(+.f64 z x)
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 z x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 x)))
(+.f64 z x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 z x)
(cbrt.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)))
(+.f64 z x)
(expm1.f64 (log1p.f64 (+.f64 x z)))
(expm1.f64 (log1p.f64 (+.f64 z x)))
(+.f64 #s(literal 0 binary64) (+.f64 z x))
(log1p.f64 (expm1.f64 (+.f64 x z)))
(+.f64 z x)
(exp.f64 (log.f64 (+.f64 x z)))
(+.f64 z x)
(exp.f64 (*.f64 (log.f64 (+.f64 x z)) #s(literal 1 binary64)))
(+.f64 z x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x z))) #s(literal 3 binary64)))
(+.f64 z x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x z))) #s(literal 1/3 binary64)))
(+.f64 z x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x z))) #s(literal 2 binary64)))
(+.f64 z x)
(fma.f64 x #s(literal 1 binary64) z)
(+.f64 z x)
(fma.f64 z #s(literal 1 binary64) x)
(+.f64 z x)
(fma.f64 #s(literal 1 binary64) x z)
(+.f64 z x)
(fma.f64 #s(literal 1 binary64) z x)
(+.f64 z x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z)
(+.f64 z x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) z)
(+.f64 z x)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(+.f64 z x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) x)
(+.f64 z x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) z)
(+.f64 z x)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) x)
(+.f64 z x)

eval25.0ms (0.4%)

Compiler

Compiled 2208 to 519 computations (76.5% saved)

prune121.0ms (2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New2062208
Fresh000
Picked044
Done235
Total2089217
Accuracy
100.0%
Counts
217 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.2%
(+.f64 (*.f64 y z) (*.f64 x y))
77.9%
(+.f64 x (*.f64 y z))
58.0%
(+.f64 x (*.f64 y x))
55.5%
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
65.4%
(*.f64 y (+.f64 x z))
45.1%
(*.f64 y z)
58.0%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
23.8%
(*.f64 x y)
35.5%
x
Compiler

Compiled 70 to 45 computations (35.7% saved)

simplify179.0ms (3%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 y z)
cost-diff128
(+.f64 (*.f64 y z) (*.f64 x y))
cost-diff-6272
(+.f64 y (*.f64 x (/.f64 y z)))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 x (/.f64 y z))
cost-diff256
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
Rules
1028×fma-define
787×times-frac
757×associate-/r*
619×cube-prod
580×associate-/l/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
016196
130184
259184
383178
4105156
5129156
6270156
7675156
83011156
93733156
104329156
114779156
124903156
135056156
146767156
156911156
167267156
177875156
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
z
(+.f64 y (*.f64 x (/.f64 y z)))
y
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
(+.f64 (*.f64 y z) (*.f64 x y))
(*.f64 y z)
y
z
(*.f64 x y)
x
Outputs
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (fma.f64 y (/.f64 x z) y))
(fma.f64 z y (*.f64 x (*.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 z x))
z
(+.f64 y (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) y)
(fma.f64 y (/.f64 x z) y)
y
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
x
(/.f64 y z)
(+.f64 (*.f64 y z) (*.f64 x y))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) y))
(*.f64 z (fma.f64 y (/.f64 x z) y))
(fma.f64 z y (*.f64 x (*.f64 y #s(literal 1 binary64))))
(*.f64 y (+.f64 z x))
(*.f64 y z)
(*.f64 z y)
y
z
(*.f64 x y)
(*.f64 y x)
x

localize54.0ms (0.9%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 x y)
accuracy99.0%
(+.f64 (*.f64 y z) (*.f64 x y))
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(+.f64 y (*.f64 x (/.f64 y z)))
accuracy93.6%
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
accuracy91.8%
(*.f64 x (/.f64 y z))
Results
27.0ms256×0valid
Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (56.7% of total)
ival-div: 2.0ms (16.2% of total)
ival-add: 2.0ms (16.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
1 → 36
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 y z) (*.f64 x y))>
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 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) 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)))))>
Calls

9 calls:

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

rewrite88.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
664×unpow-prod-down
661×log1p-expm1-u
661×expm1-log1p-u
355×log-prod
326×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01227
113822
2181522
Stop Event
node limit
Counts
1 → 86
Calls
Call 1
Inputs
(+.f64 (*.f64 y z) (*.f64 x y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y (pow.f64 (+.f64 z x) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (+.f64 x z) #s(literal 1 binary64)))
(*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))
(*.f64 (*.f64 y (+.f64 z x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z x)))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 y (+.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 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 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 y (-.f64 z x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 y z)))
(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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (-.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 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 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 z) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(fma.f64 y z (*.f64 y x))
(fma.f64 y x (*.f64 y z))
(fma.f64 z y (*.f64 y x))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y (*.f64 y z))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.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 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.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 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.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 (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 (sqrt.f64 z) (*.f64 (sqrt.f64 z) 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 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))
(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))

simplify104.0ms (1.8%)

Algorithm
egg-herbie
Rules
425×fma-define
416×times-frac
375×unswap-sqr
344×div-sub
221×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02403487
15783424
215283395
355503364
Stop Event
node limit
Counts
122 → 105
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 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) 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)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y (pow.f64 (+.f64 z x) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (+.f64 x z) #s(literal 1 binary64)))
(*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))
(*.f64 (*.f64 y (+.f64 z x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z x)))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 y (+.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 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 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 y (-.f64 z x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 y z)))
(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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (-.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 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 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 z) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(fma.f64 y z (*.f64 y x))
(fma.f64 y x (*.f64 y z))
(fma.f64 z y (*.f64 y x))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y (*.f64 y z))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.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 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y z))
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.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 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.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 (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 (sqrt.f64 z) (*.f64 (sqrt.f64 z) 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 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))
(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))
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 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) 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 y (+.f64 x z))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 y (+.f64 x z))
(*.f64 z (+.f64 y (/.f64 (*.f64 x y) z)))
(*.f64 y (+.f64 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 x y) z)))))
(*.f64 y (+.f64 x 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 (+.f64 x 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 (+.f64 x z))
(*.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 y (+.f64 x z))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 y (+.f64 x z))
(*.f64 x (+.f64 y (/.f64 (*.f64 y z) x)))
(*.f64 y (+.f64 x z))
(*.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 y (+.f64 x z))
(*.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 y (+.f64 x z))
(*.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 y (+.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 z x)))) #s(literal 1 binary64))
(*.f64 y (+.f64 x z))
(-.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(*.f64 y (+.f64 x z))
(*.f64 y (pow.f64 (+.f64 z x) #s(literal 1 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 y (pow.f64 (+.f64 x z) #s(literal 1 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))
(*.f64 y (+.f64 x z))
(*.f64 (*.f64 y (+.f64 z x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (+.f64 x z))
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 z x)))
(*.f64 y (+.f64 x z))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 y (+.f64 x z))
(*.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))))
(*.f64 y (+.f64 x z))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (*.f64 x (*.f64 y (-.f64 x z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 y x)) (-.f64 x z) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (*.f64 x (*.f64 y (-.f64 x z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 y x)) (-.f64 x z) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x))))
(*.f64 y (+.f64 x z))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x))) #s(literal 1 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 y (+.f64 z x)))
(*.f64 y (+.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 y (+.f64 x z))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 7 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) #s(literal 8 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (*.f64 x (*.f64 y (-.f64 x z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 y x)) (-.f64 x z) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 y (+.f64 x z))
(/.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 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (*.f64 x (*.f64 y (-.f64 x z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 y x)) (-.f64 x z) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (*.f64 y x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (*.f64 x (*.f64 y (-.f64 x z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 y x)) (-.f64 x z) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 y (-.f64 z x)))
(*.f64 y (+.f64 x z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (*.f64 x (*.f64 y (-.f64 x z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 y x)) (-.f64 x z) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 z x))))
(*.f64 y (+.f64 x z))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 y z)))
(*.f64 y (+.f64 x z))
(pow.f64 (*.f64 y (+.f64 z x)) #s(literal 1 binary64))
(*.f64 y (+.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) #s(literal 3 binary64))
(*.f64 y (+.f64 x z))
(pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 y (+.f64 x z))
(pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (+.f64 x z))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) #s(literal 2 binary64))
(*.f64 y (+.f64 x z))
(pow.f64 (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (*.f64 y (-.f64 x z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (*.f64 x (*.f64 y (-.f64 x z))) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 y x)) (-.f64 x z) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (*.f64 y (-.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 y (+.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 2 binary64)))
(*.f64 y (+.f64 x z))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))
(*.f64 y (+.f64 x z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 z x)))))
(*.f64 y (+.f64 x z))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(*.f64 y (+.f64 x z))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (pow.f64 (exp.f64 x) y)))
(*.f64 y (+.f64 x z))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(*.f64 y (+.f64 x z))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(*.f64 y (+.f64 x z))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 z) y)))
(*.f64 y (+.f64 x z))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(*.f64 y (+.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) #s(literal 3 binary64)))
(*.f64 y (+.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 z x))))
(*.f64 y (+.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 z x))))
(*.f64 y (+.f64 x z))
(exp.f64 (log.f64 (*.f64 y (+.f64 z x))))
(*.f64 y (+.f64 x z))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 z x))) #s(literal 1 binary64)))
(*.f64 y (+.f64 x z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 3 binary64)))
(*.f64 y (+.f64 x z))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 z x)))) #s(literal 1/3 binary64)))
(*.f64 y (+.f64 x z))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 z x)))) #s(literal 2 binary64)))
(*.f64 y (+.f64 x z))
(fma.f64 y z (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 y x (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 z y (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 x y (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y z))
(*.f64 y (+.f64 x z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))
(*.f64 y (+.f64 x z))

eval171.0ms (2.9%)

Compiler

Compiled 4557 to 982 computations (78.5% saved)

prune61.0ms (1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New3180318
Fresh000
Picked022
Done077
Total3189327
Accuracy
100.0%
Counts
327 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.2%
(+.f64 (*.f64 y z) (*.f64 x y))
77.9%
(+.f64 x (*.f64 y z))
58.0%
(+.f64 x (*.f64 y x))
55.5%
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
65.4%
(*.f64 y (+.f64 x z))
45.1%
(*.f64 y z)
58.0%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
23.8%
(*.f64 x y)
35.5%
x
Compiler

Compiled 149 to 69 computations (53.7% saved)

regimes25.0ms (0.4%)

Counts
13 → 1
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 y z)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 x z))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 x y))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
(+.f64 x (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
(fma.f64 y (+.f64 x z) x)
Outputs
(fma.f64 y (+.f64 x z) x)
Calls

4 calls:

10.0ms
y
5.0ms
x
4.0ms
z
4.0ms
(+.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)

regimes19.0ms (0.3%)

Counts
12 → 1
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 y z)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 x z))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 (*.f64 y z) (*.f64 x y))
(*.f64 z (+.f64 y (*.f64 x (/.f64 y z))))
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y x))
(+.f64 x (*.f64 z (+.f64 y (*.f64 x (/.f64 y z)))))
Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
Calls

4 calls:

5.0ms
y
4.0ms
x
4.0ms
z
4.0ms
(+.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)

regimes11.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 y z)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 x z))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 y z))
Outputs
(*.f64 y (+.f64 x z))
(+.f64 x (*.f64 y z))
(*.f64 y (+.f64 x z))
Calls

3 calls:

4.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
87.7%3x
98.0%3y
89.4%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 y z)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.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:

4.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
78.8%3x
80.5%3z
84.6%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 y z)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 x z))
Outputs
(*.f64 y (+.f64 x z))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 x z))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
84.6%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

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

2 calls:

2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
79.0%3z
66.3%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.2%)

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

3 calls:

5.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
67.1%5y
58.8%4x
64.0%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

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

3 calls:

2.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
37.6%2x
40.1%3z
56.0%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
35.5%1x
35.5%1z
35.5%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch26.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.8089585468826352
2.486433371013924e+26
9.0ms
-2.373408683342256
-0.45865315162773207
Results
16.0ms272×0valid
Compiler

Compiled 322 to 215 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (58% of total)
ival-add: 3.0ms (43.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
7.56780414789758e-91
6.110647676238418e-88
3.0ms
-2.708633756427032
-2.373408683342256
Results
8.0ms160×0valid
Compiler

Compiled 196 to 131 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 2.0ms (64% of total)
ival-mult: 1.0ms (32% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
7.56780414789758e-91
6.110647676238418e-88
3.0ms
-2.708633756427032
-2.373408683342256
Results
8.0ms160×0valid
Compiler

Compiled 196 to 141 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 2.0ms (64.5% of total)
ival-mult: 1.0ms (32.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch87.0ms (1.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.3948454000184716e+96
1.8720678493866537e+99
72.0ms
-0.5120223073928506
-1.5470695087115813e-19
Results
73.0ms288×0valid
Compiler

Compiled 304 to 227 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (52.9% of total)
ival-mult: 2.0ms (35.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch88.0ms (1.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
7.56780414789758e-91
6.110647676238418e-88
13.0ms
-5.0098578032797836e-58
-3.056883780299492e-66
10.0ms
-2.2829733117756415e+45
-6.477759516606534e+42
3.0ms
-4.692852950744006e+119
-4.089270281347142e+119
Results
22.0ms432×0valid
Compiler

Compiled 360 to 264 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 5.0ms (59.8% of total)
ival-mult: 3.0ms (35.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
0.8089585468826352
2.486433371013924e+26
8.0ms
-2.373408683342256
-0.45865315162773207
Results
18.0ms272×0valid
Compiler

Compiled 220 to 164 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 8.0ms (76.4% of total)
ival-mult: 2.0ms (19.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
062493
197493
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 -5854679515581645/2251799813685248 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 4013622577982625/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (+.f64 x (*.f64 y x)) (*.f64 y (+.f64 x z))))
(if (<=.f64 y #s(literal -5854679515581645/2251799813685248 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y (+.f64 x z))))
(if (<=.f64 z #s(literal -2508757194024499/295147905179352825856 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 7499999999999999603250258825740100888288537422961751465446679045086318746615114458713651731759104 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y z)))
(if (<=.f64 y #s(literal -419999999999999965799597276017259990679163108868265493677876162825761772095645621592329206675142733909297229087138381824 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal -294999999999999982447526762808561113621331968 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -7067388259113537/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 4658669063729833/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) x (*.f64 y z)))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) x (*.f64 x y)))
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 -5854679515581645/2251799813685248 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 4013622577982625/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (+.f64 x (*.f64 y x)) (*.f64 y (+.f64 x z))))
(if (or (<=.f64 y #s(literal -5854679515581645/2251799813685248 binary64)) (not (<=.f64 y #s(literal 4013622577982625/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)))) (*.f64 y (+.f64 x z)) (+.f64 x (*.f64 y x)))
(if (<=.f64 y #s(literal -5854679515581645/2251799813685248 binary64)) (*.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal 3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y (+.f64 x z))))
(if (or (<=.f64 y #s(literal -5854679515581645/2251799813685248 binary64)) (not (<=.f64 y #s(literal 3010216933486969/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)))) (*.f64 y (+.f64 x z)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -2508757194024499/295147905179352825856 binary64)) (*.f64 y z) (if (<=.f64 z #s(literal 7499999999999999603250258825740100888288537422961751465446679045086318746615114458713651731759104 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y z)))
(if (or (<=.f64 z #s(literal -2508757194024499/295147905179352825856 binary64)) (not (<=.f64 z #s(literal 7499999999999999603250258825740100888288537422961751465446679045086318746615114458713651731759104 binary64)))) (*.f64 y z) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -419999999999999965799597276017259990679163108868265493677876162825761772095645621592329206675142733909297229087138381824 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal -294999999999999982447526762808561113621331968 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -7067388259113537/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal 4658669063729833/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) x (*.f64 y z)))))
(if (<=.f64 y #s(literal -419999999999999965799597276017259990679163108868265493677876162825761772095645621592329206675142733909297229087138381824 binary64)) (*.f64 y z) (if (<=.f64 y #s(literal -294999999999999982447526762808561113621331968 binary64)) (*.f64 y x) (if (or (<=.f64 y #s(literal -7067388259113537/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (not (<=.f64 y #s(literal 4658669063729833/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)))) (*.f64 y z) x)))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) x (*.f64 x y)))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 y x) x)
x

soundness647.0ms (10.9%)

Rules
994×fmm-def
977×log1p-expm1-u
977×expm1-log1p-u
527×fma-define
513×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036369
1106313
2363313
3949313
42595313
53332313
63442313
73442313
84199313
94199313
045814233
1110213204
2337213059
015102
1203102
22733102
Stop Event
done
node limit
node limit
saturated
Compiler

Compiled 234 to 95 computations (59.4% saved)

preprocess93.0ms (1.6%)

Compiler

Compiled 282 to 118 computations (58.2% saved)

end0.0ms (0%)

Profiling

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