Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

Time bar (total: 7.1s)

analyze0.0ms (0%)

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

Compiled 13 to 9 computations (30.8% saved)

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

sample1.1s (15.4%)

Results
813.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 477.0ms
ival-add: 180.0ms (37.8% of total)
ival-mult: 143.0ms (30% of total)
ival-sub: 140.0ms (29.4% of total)
const: 12.0ms (2.5% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess427.0ms (6%)

Algorithm
egg-herbie
Rules
1182×fma-neg
303×fma-define
196×distribute-rgt-in
196×unsub-neg
132×sub-neg
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
040399
1100387
2237379
3683351
41709339
52871337
63249337
73289337
83293337
93293317
103936317
113936317
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) z))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z)))
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) z)))
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z))))
(+.f64 (*.f64 y x) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(+.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(+.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
(-.f64 z (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
(-.f64 z (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) z))
(fma.f64 (neg.f64 x) y (*.f64 z (-.f64 #s(literal 1 binary64) (neg.f64 x))))
(-.f64 (*.f64 z (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(+.f64 z (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) z)
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x (neg.f64 y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x (neg.f64 y)))
(neg.f64 (fma.f64 x y (*.f64 z (+.f64 x #s(literal -1 binary64)))))
(-.f64 z (*.f64 x (+.f64 z y)))
(-.f64 z (*.f64 x (+.f64 y z)))
(fma.f64 x (-.f64 (neg.f64 y) z) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z)))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z)))
(-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (+.f64 y z) (neg.f64 z))
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) z)))
(neg.f64 (fma.f64 (neg.f64 x) y (*.f64 z (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
(-.f64 (*.f64 x y) (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 z (-.f64 #s(literal -1 binary64) x) (*.f64 x y))
(neg.f64 (fma.f64 x (-.f64 z y) z))
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z)))
(-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 x (+.f64 y z)) z)
(fma.f64 x (+.f64 y z) (neg.f64 z))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 z))))
(fma.f64 x (neg.f64 y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x (neg.f64 y)))
(neg.f64 (fma.f64 x y (*.f64 z (+.f64 x #s(literal -1 binary64)))))
(-.f64 z (*.f64 x (+.f64 z y)))
(-.f64 z (*.f64 x (+.f64 y z)))
(fma.f64 x (-.f64 (neg.f64 y) z) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(fma.f64 y x (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(-.f64 z (*.f64 y (-.f64 z x)))
(+.f64 z (*.f64 y (-.f64 x z)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 z y (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 y z))
(+.f64 x (*.f64 z (-.f64 y x)))
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 x z (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) (*.f64 x z))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)

explain134.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-0-(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
00-0-(*.f64 x y)
00-0-x
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) z)
00-0-z
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-y
Results
92.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (54.2% of total)
ival-sub: 3.0ms (20.3% of total)
ival-add: 2.0ms (13.5% of total)
const: 1.0ms (6.8% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 39 to 16 computations (59% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x (-.f64 y z) z)
100.0%
(-.f64 z (*.f64 x (-.f64 z y)))
98.0%
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify40.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(fma.f64 x (-.f64 y z) z)
cost-diff0
(-.f64 y z)
cost-diff-6272
(-.f64 z (*.f64 x (-.f64 z y)))
cost-diff0
(-.f64 z y)
cost-diff0
(*.f64 x (-.f64 z y))
cost-diff-6144
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
cost-diff0
(*.f64 x y)
Rules
252×fma-define
233×fma-neg
47×unsub-neg
44×distribute-rgt-in
39×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020226
143226
286208
3204208
4405208
5684208
6995208
71142208
81154208
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 x y)
x
y
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
z
(-.f64 z (*.f64 x (-.f64 z y)))
z
(*.f64 x (-.f64 z y))
x
(-.f64 z y)
y
(fma.f64 x (-.f64 y z) z)
x
(-.f64 y z)
y
z
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x (-.f64 y z) z)
(*.f64 x y)
x
y
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
z
(-.f64 z (*.f64 x (-.f64 z y)))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x (-.f64 y z) z)
z
(*.f64 x (-.f64 z y))
x
(-.f64 z y)
y
(fma.f64 x (-.f64 y z) z)
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
x
(-.f64 y z)
y
z

localize79.0ms (1.1%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 y z)
accuracy100.0%
(fma.f64 x (-.f64 y z) z)
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(-.f64 z (*.f64 x (-.f64 z y)))
accuracy100.0%
(*.f64 x (-.f64 z y))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy98.4%
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
Results
64.0ms256×0valid
Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (38.5% of total)
ival-sub: 5.0ms (32.1% of total)
ival-fma: 3.0ms (19.3% of total)
ival-add: 1.0ms (6.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series254.0ms (3.6%)

Counts
9 → 210
Calls
Call 1
Inputs
#<alt (*.f64 x y)>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) x) z)>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))>
#<alt (*.f64 x (-.f64 z y))>
#<alt (-.f64 z y)>
#<alt (-.f64 z (*.f64 x (-.f64 z y)))>
#<alt (-.f64 y z)>
#<alt (fma.f64 x (-.f64 y z) z)>
Outputs
#<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 (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt z>
#<alt (+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) 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 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 x y)>
#<alt (-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x (-.f64 y z)))>
#<alt (+.f64 z (*.f64 x (-.f64 y z)))>
#<alt (+.f64 z (*.f64 x (-.f64 y z)))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (-.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (-.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (-.f64 z y)))))>
#<alt (-.f64 z (*.f64 x z))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 x z)) y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 x z)) y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 x z)) y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x (-.f64 y z)))>
#<alt (+.f64 z (*.f64 x (-.f64 y z)))>
#<alt (+.f64 z (*.f64 x (-.f64 y z)))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)))>
#<alt (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)))>
#<alt (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 z 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 (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 x #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))) #s(literal 1 binary64))))>
Calls

63 calls:

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

rewrite328.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
1107×log1p-expm1-u
887×expm1-log1p-u
149×add-cube-cbrt
146×add-exp-log
145×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020181
1308181
24683181
Stop Event
node limit
Counts
9 → 256
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(-.f64 #s(literal 1 binary64) x)
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(*.f64 x (-.f64 z y))
(-.f64 z y)
(-.f64 z (*.f64 x (-.f64 z y)))
(-.f64 y z)
(fma.f64 x (-.f64 y z) z)
Outputs
(-.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)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 z (*.f64 (neg.f64 x) z))
(+.f64 z (*.f64 z (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) z) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(*.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64)))
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(exp.f64 (log.f64 (-.f64 y z)))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 z))
(+.f64 z (*.f64 x (-.f64 y z)))
(+.f64 (*.f64 x (-.f64 y z)) z)
(+.f64 (*.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64)) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) z))
(*.f64 (fma.f64 x (-.f64 y z) z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 y z) z)))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) (sqrt.f64 (fma.f64 x (-.f64 y z) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y z)) z))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 y z)) z))
(pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (-.f64 y z) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 y z) z))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 y z) z)))
(exp.f64 (log.f64 (fma.f64 x (-.f64 y z) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 1 binary64)))

simplify234.0ms (3.3%)

Algorithm
egg-herbie
Rules
356×fma-define
340×sub-neg
292×associate-*r*
289×associate-*l*
247×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067914460
1168113796
2598013736
Stop Event
node limit
Counts
466 → 380
Calls
Call 1
Inputs
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)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
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(*.f64 z (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
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(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
z
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(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
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(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) x))
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) y)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))
z
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z
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(*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))
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(*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 x y)
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(-.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))
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(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
z
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(+.f64 z (*.f64 x (-.f64 y z)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (-.f64 z y)))))
(-.f64 z (*.f64 x z))
(-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))
(-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))
(-.f64 (+.f64 z (*.f64 x y)) (*.f64 x z))
(*.f64 x y)
(*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 x y)
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 x z)) y)) x)))
(*.f64 #s(literal -1 binary64) z)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
y
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y
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(+.f64 (-.f64 z (*.f64 x (-.f64 z y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))))
(+.f64 (-.f64 z (*.f64 x (-.f64 z y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 z y))) (*.f64 x (-.f64 z y))))
(+.f64 (*.f64 (-.f64 z y) (neg.f64 x)) z)
(*.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x (-.f64 z y))))
(*.f64 (-.f64 z (*.f64 x (-.f64 z y))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 z (*.f64 x (-.f64 z y)))) (pow.f64 (cbrt.f64 (-.f64 z (*.f64 x (-.f64 z y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z (*.f64 x (-.f64 z y)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z (*.f64 x (-.f64 z y)))))
(*.f64 (sqrt.f64 (-.f64 z (*.f64 x (-.f64 z y)))) (sqrt.f64 (-.f64 z (*.f64 x (-.f64 z y)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 x (-.f64 z y)) (+.f64 z (*.f64 x (-.f64 z y)))))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x (-.f64 z y)))))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 z y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 x (-.f64 z y)) (+.f64 z (*.f64 x (-.f64 z y))))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (*.f64 x (-.f64 z y))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 x (-.f64 z y)) (+.f64 z (*.f64 x (-.f64 z y))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))) (+.f64 z (*.f64 x (-.f64 z y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 x (-.f64 z y)) (+.f64 z (*.f64 x (-.f64 z y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 z (*.f64 x (-.f64 z y)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z y) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 z y) (neg.f64 x)) (*.f64 (-.f64 z y) (neg.f64 x))) (*.f64 z (*.f64 (-.f64 z y) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 z y) (neg.f64 x)) (*.f64 (-.f64 z y) (neg.f64 x)))) (-.f64 z (*.f64 (-.f64 z y) (neg.f64 x))))
(pow.f64 (-.f64 z (*.f64 x (-.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 z (*.f64 x (-.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 z (*.f64 x (-.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 z (*.f64 x (-.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 z (*.f64 x (-.f64 z y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 z (*.f64 x (-.f64 z y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 z (*.f64 x (-.f64 z y))))))
(cbrt.f64 (pow.f64 (-.f64 z (*.f64 x (-.f64 z y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 z (*.f64 x (-.f64 z y)))))
(log1p.f64 (expm1.f64 (-.f64 z (*.f64 x (-.f64 z y)))))
(exp.f64 (log.f64 (-.f64 z (*.f64 x (-.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 z (*.f64 x (-.f64 z y)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 (-.f64 z y) (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (-.f64 z y) (neg.f64 x)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (-.f64 z y) (neg.f64 x)))
(+.f64 y (neg.f64 z))
(+.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (neg.f64 z) y)
(*.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 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (+.f64 y z)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 z (+.f64 y z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 y z)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 y (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 y (neg.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))
(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)))
(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)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 z))
(+.f64 z (*.f64 x (-.f64 y z)))
(+.f64 (*.f64 x (-.f64 y z)) z)
(+.f64 (*.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64)) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) z))
(*.f64 (fma.f64 x (-.f64 y z) z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 y z) z)))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) (sqrt.f64 (fma.f64 x (-.f64 y z) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y z)) z))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 y z)) z))
(pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (-.f64 y z) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 y z) z))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 y z) z)))
(exp.f64 (log.f64 (fma.f64 x (-.f64 y z) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 1 binary64)))
Outputs
z
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
z
(+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 z (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 z y))
(*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 z x) (-.f64 y z)))
(*.f64 x (+.f64 (/.f64 z x) (-.f64 z y)))
(*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 z x) (-.f64 y z)))
(*.f64 x (+.f64 (/.f64 z x) (-.f64 z y)))
(*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 z x) (-.f64 y z)))
(*.f64 x (+.f64 (/.f64 z x) (-.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 z x) (-.f64 y z)))
(*.f64 x (+.f64 (/.f64 z x) (-.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 z x) (-.f64 y z)))
(*.f64 x (+.f64 (/.f64 z x) (-.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x))))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 z x) (-.f64 y z)))
(*.f64 x (+.f64 (/.f64 z x) (-.f64 z y)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 y (+.f64 x (*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 y (+.f64 x (*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 y (+.f64 x (*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 y (+.f64 x (*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 y (+.f64 x (*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
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(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(exp.f64 (log.f64 (-.f64 z (*.f64 x (-.f64 z y)))))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(exp.f64 (*.f64 (log.f64 (-.f64 z (*.f64 x (-.f64 z y)))) #s(literal 1 binary64)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 (-.f64 z y) (neg.f64 x)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (-.f64 z y) (neg.f64 x)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (-.f64 z y) (neg.f64 x)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 y (neg.f64 z))
(-.f64 z y)
(+.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 z y)
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(-.f64 z y)
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(-.f64 z y)
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(-.f64 z y)
(+.f64 (neg.f64 z) y)
(-.f64 z y)
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(-.f64 z y)
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 z y)
(*.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)))
(-.f64 z y)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)))
(-.f64 z y)
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)))
(-.f64 z y)
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (+.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 z (+.f64 z y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 z y))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 z (+.f64 y z))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 z (+.f64 z y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 z y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 z (+.f64 z y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 z y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 z (+.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 z (+.f64 z y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 y z)))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 z y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 y (neg.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 z (+.f64 z y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 y (neg.f64 z)))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 z y))
(pow.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 z y)
(pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 3 binary64))
(-.f64 z y)
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 z y)
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 2 binary64))
(-.f64 z y)
(sqrt.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)))
(-.f64 z y)
(log.f64 (exp.f64 (-.f64 y z)))
(-.f64 z y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y z))))
(-.f64 z y)
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)))
(-.f64 z y)
(expm1.f64 (log1p.f64 (-.f64 y z)))
(expm1.f64 (log1p.f64 (-.f64 z y)))
(log1p.f64 (expm1.f64 (-.f64 y z)))
(-.f64 z y)
(exp.f64 (log.f64 (-.f64 y z)))
(-.f64 z y)
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1 binary64)))
(-.f64 z y)
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(-.f64 z y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 z))
(-.f64 z y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 z))
(-.f64 z y)
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 (*.f64 x (-.f64 y z)) z)
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(+.f64 (*.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64)) z)
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 z (-.f64 #s(literal 1 binary64) x) (*.f64 x y))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) z)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 y z) z))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(*.f64 (fma.f64 x (-.f64 y z) z) #s(literal 1 binary64))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 y z) z)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) (sqrt.f64 (fma.f64 x (-.f64 y z) z)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y z)) z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 z z (*.f64 (*.f64 x (-.f64 z y)) (+.f64 z (*.f64 x (-.f64 z y))))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 z z (*.f64 x (*.f64 (-.f64 z y) (fma.f64 x (-.f64 z y) z)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64))) (fma.f64 z z (*.f64 x (*.f64 (-.f64 z y) (fma.f64 x (-.f64 z y) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 y z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (*.f64 x (-.f64 z y))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))) (fma.f64 x (-.f64 z y) z))
(/.f64 (pow.f64 (fma.f64 x (-.f64 z y) z) #s(literal 2 binary64)) (fma.f64 x (-.f64 z y) z))
(pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 1 binary64))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 3 binary64))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 2 binary64))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 2 binary64)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(log.f64 (exp.f64 (fma.f64 x (-.f64 y z) z)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 y z) z))))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) #s(literal 3 binary64)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z)))
(expm1.f64 (log1p.f64 (fma.f64 z (-.f64 #s(literal 1 binary64) x) (*.f64 x y))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 y z) z)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(exp.f64 (log.f64 (fma.f64 x (-.f64 y z) z)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 y z) z)) #s(literal 1 binary64)))
(fma.f64 x (-.f64 y z) z)
(fma.f64 x (-.f64 z y) z)

eval46.0ms (0.7%)

Compiler

Compiled 5172 to 1102 computations (78.7% saved)

prune68.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3737380
Fresh000
Picked303
Done000
Total3767383
Accuracy
100.0%
Counts
383 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(-.f64 z (*.f64 z x))
60.6%
(+.f64 (*.f64 x y) (*.f64 (neg.f64 x) z))
76.8%
(+.f64 (*.f64 x y) z)
63.8%
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
90.0%
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
62.6%
(*.f64 x (-.f64 y z))
40.4%
(*.f64 x y)
Compiler

Compiled 126 to 82 computations (34.9% saved)

simplify438.0ms (6.2%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z x)
cost-diff0
(-.f64 z (*.f64 z x))
cost-diff-6272
(+.f64 (*.f64 x y) z)
cost-diff0
(*.f64 x y)
cost-diff0
(-.f64 y z)
cost-diff0
(*.f64 x (-.f64 y z))
cost-diff0
(*.f64 x y)
cost-diff-6400
(-.f64 (+.f64 y (/.f64 z x)) z)
cost-diff-6144
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
cost-diff0
(/.f64 z x)
cost-diff0
(+.f64 y (/.f64 z x))
Rules
2323×fma-neg
560×div-sub
419×fma-define
358×sub-neg
343×distribute-rgt-neg-in
Iterations

Useful iterations: 23 (0.0ms)

IterNodesCost
019272
137272
264272
3132271
4244269
5423256
6751256
71329256
83238256
94901256
105912256
116305256
126395256
136440256
146456256
156692256
167024256
177190256
187208256
197226256
207262256
217280256
227296256
237296255
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
x
(-.f64 (+.f64 y (/.f64 z x)) z)
(+.f64 y (/.f64 z x))
y
(/.f64 z x)
z
(*.f64 x y)
x
y
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
y
z
(+.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
(-.f64 z (*.f64 z x))
z
(*.f64 z x)
x
Outputs
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(fma.f64 x (-.f64 y z) z)
x
(-.f64 (+.f64 y (/.f64 z x)) z)
(+.f64 y (-.f64 (/.f64 z x) z))
(+.f64 (/.f64 z x) (-.f64 y z))
(fma.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) y)
(+.f64 y (/.f64 z x))
y
(/.f64 z x)
z
(*.f64 x y)
x
y
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
y
z
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(*.f64 x y)
x
y
z
(-.f64 z (*.f64 z x))
(-.f64 z (*.f64 x z))
(fma.f64 x (neg.f64 z) z)
(*.f64 z (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
z
(*.f64 z x)
(*.f64 x z)
x

localize57.0ms (0.8%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(-.f64 z (*.f64 z x))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(+.f64 (*.f64 x y) z)
accuracy100.0%
(-.f64 y z)
accuracy100.0%
(*.f64 x (-.f64 y z))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(/.f64 z x)
accuracy100.0%
(+.f64 y (/.f64 z x))
accuracy100.0%
(-.f64 (+.f64 y (/.f64 z x)) z)
accuracy90.1%
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
Results
42.0ms256×0valid
Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (41.9% of total)
ival-sub: 4.0ms (23.9% of total)
ival-div: 3.0ms (18% of total)
ival-add: 3.0ms (18% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series20.0ms (0.3%)

Counts
8 → 192
Calls
Call 1
Inputs
#<alt (+.f64 y (/.f64 z x))>
#<alt (/.f64 z x)>
#<alt (*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))>
#<alt (-.f64 (+.f64 y (/.f64 z x)) z)>
#<alt (*.f64 x (-.f64 y z))>
#<alt (+.f64 (*.f64 x y) z)>
#<alt (-.f64 z (*.f64 z x))>
#<alt (*.f64 z x)>
Outputs
#<alt (/.f64 z x)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))>
#<alt y>
#<alt (/.f64 z x)>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))>
#<alt (/.f64 z x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 z x)>
#<alt (/.f64 (+.f64 z (*.f64 x y)) x)>
#<alt (/.f64 (+.f64 z (*.f64 x y)) x)>
#<alt (/.f64 (+.f64 z (*.f64 x y)) x)>
#<alt y>
#<alt y>
#<alt z>
#<alt (+.f64 z (*.f64 x (-.f64 y z)))>
#<alt (+.f64 z (*.f64 x (-.f64 y z)))>
#<alt (+.f64 z (*.f64 x (-.f64 y z)))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 x (-.f64 (/.f64 z x) z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))>
#<alt (+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))>
#<alt (+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) 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 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))>
#<alt (+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))>
#<alt (+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))>
#<alt (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (/.f64 z x) z)>
#<alt y>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) (/.f64 z y)))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) (/.f64 z y)))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) (/.f64 z y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 z x) z) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 z x) z) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 z x) z) y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 z x)>
#<alt (/.f64 (+.f64 z (*.f64 x (-.f64 y z))) x)>
#<alt (/.f64 (+.f64 z (*.f64 x (-.f64 y z))) x)>
#<alt (/.f64 (+.f64 z (*.f64 x (-.f64 y z))) x)>
#<alt (-.f64 y z)>
#<alt (-.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (*.f64 x (+.f64 y (/.f64 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 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 y (+.f64 x (/.f64 z 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 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) 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 (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (-.f64 (/.f64 z x) z))>
#<alt (*.f64 x (-.f64 (/.f64 z x) z))>
#<alt (*.f64 x (-.f64 (/.f64 z x) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
Calls

63 calls:

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

rewrite182.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1239×log1p-expm1-u
537×expm1-log1p-u
158×add-cube-cbrt
156×add-exp-log
156×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019181
1325178
25193178
Stop Event
node limit
Counts
8 → 250
Calls
Call 1
Inputs
(+.f64 y (/.f64 z x))
(/.f64 z x)
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
(-.f64 (+.f64 y (/.f64 z x)) z)
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 x y) z)
(-.f64 z (*.f64 z x))
(*.f64 z x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (/.f64 z x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 z x))) (/.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (-.f64 y (/.f64 z x))))
(*.f64 (+.f64 y (/.f64 z x)) #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 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) y))) (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 z x)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (/.f64 z x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (-.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 z x) y))
(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 (exp.f64 (+.f64 y (/.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (/.f64 z x)))))
(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 z (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 z x))
(fma.f64 #s(literal 1 binary64) (/.f64 z x) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 z x))
(fma.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 z x) (*.f64 (+.f64 x #s(literal 1 binary64)) z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) z) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 z x) (*.f64 (+.f64 x #s(literal 1 binary64)) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 z x) (*.f64 (+.f64 x #s(literal 1 binary64)) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) z)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x))) (*.f64 z (*.f64 z (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x)))) (-.f64 z (*.f64 z (neg.f64 x))))
(pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 z (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 z (neg.f64 x)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(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 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(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)))

simplify304.0ms (4.3%)

Algorithm
egg-herbie
Rules
513×distribute-lft-neg-in
347×fma-define
278×sub-neg
277×associate-*r*
269×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064714699
1158314002
2549013221
Stop Event
node limit
Counts
442 → 368
Calls
Call 1
Inputs
(/.f64 z x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
y
(/.f64 z x)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(/.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 z x)
(/.f64 (+.f64 z (*.f64 x y)) x)
(/.f64 (+.f64 z (*.f64 x y)) x)
(/.f64 (+.f64 z (*.f64 x y)) x)
y
y
z
(+.f64 z (*.f64 x (-.f64 y z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (-.f64 (/.f64 z x) z))
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 z x) z)
y
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) (/.f64 z y)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) (/.f64 z y)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) (/.f64 z y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 z x) z) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 z x) z) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 z x) z) y)) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)) #s(literal 1 binary64)))
(*.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 z x)
(/.f64 (+.f64 z (*.f64 x (-.f64 y z))) x)
(/.f64 (+.f64 z (*.f64 x (-.f64 y z))) x)
(/.f64 (+.f64 z (*.f64 x (-.f64 y z))) x)
(-.f64 y z)
(-.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 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 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 x y)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #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)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) z))))
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (/.f64 z x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 z x))) (/.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (-.f64 y (/.f64 z x))))
(*.f64 (+.f64 y (/.f64 z x)) #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 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (/.f64 z x) (-.f64 (/.f64 z x) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 z x))))
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(log.f64 (exp.f64 (fma.f64 y x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x z))))
(cbrt.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x z)))
(log1p.f64 (expm1.f64 (fma.f64 y x z)))
(exp.f64 (log.f64 (fma.f64 y x z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x z)) #s(literal 1 binary64)))
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 #s(literal 1 binary64) z (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y x))
(+.f64 z (*.f64 z (neg.f64 x)))
(+.f64 z (*.f64 (*.f64 z (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 x) z (*.f64 z x)))
(+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 z) x (*.f64 z x)))
(+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 z (neg.f64 x)) #s(literal 1 binary64) (*.f64 z x)))
(+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 z x)))
(+.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (*.f64 z x)))
(+.f64 (*.f64 z (neg.f64 x)) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 z x) (*.f64 (+.f64 x #s(literal 1 binary64)) z)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) z)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 z x) (*.f64 (+.f64 x #s(literal 1 binary64)) z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) z) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 z x) (*.f64 (+.f64 x #s(literal 1 binary64)) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 z x) (*.f64 (+.f64 x #s(literal 1 binary64)) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) z)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x))) (*.f64 z (*.f64 z (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x)))) (-.f64 z (*.f64 z (neg.f64 x))))
(pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 z (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 z (neg.f64 x)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(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 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(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)))
Outputs
(/.f64 z x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y)))))
y
(/.f64 z x)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(/.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))
(/.f64 z x)
(/.f64 (+.f64 z (*.f64 x y)) x)
(/.f64 (fma.f64 x y z) x)
(/.f64 (+.f64 z (*.f64 x y)) x)
(/.f64 (fma.f64 x y z) x)
(/.f64 (+.f64 z (*.f64 x y)) x)
(/.f64 (fma.f64 x y z) x)
y
y
z
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y z)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 x y) (*.f64 x (-.f64 (/.f64 z x) z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 z x) z) y))))
(*.f64 y (fma.f64 x (/.f64 (-.f64 (/.f64 z x) z) y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 z x) z) y))))
(*.f64 y (fma.f64 x (/.f64 (-.f64 (/.f64 z x) z) y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 z x) z) y))))
(*.f64 y (fma.f64 x (/.f64 (-.f64 (/.f64 z x) z) y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) 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 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 z x) z) y))))
(*.f64 y (fma.f64 x (/.f64 (-.f64 (/.f64 z x) z) y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 z x) z) y))))
(*.f64 y (fma.f64 x (/.f64 (-.f64 (/.f64 z x) z) y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) z)) y)))))
(*.f64 y (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 z x) z) y))))
(*.f64 y (fma.f64 x (/.f64 (-.f64 (/.f64 z x) z) y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 x (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x y) z)))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))))
(*.f64 z (fma.f64 x (/.f64 y z) (-.f64 #s(literal 1 binary64) x)))
(*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x y) z)))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))))
(*.f64 z (fma.f64 x (/.f64 y z) (-.f64 #s(literal 1 binary64) x)))
(*.f64 z (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x y) z)))
(*.f64 z (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x y) z)))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))))
(*.f64 z (fma.f64 x (/.f64 y z) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 z (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x y) z)))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))))
(*.f64 z (fma.f64 x (/.f64 y z) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 z (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x y) z)))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))))
(*.f64 z (fma.f64 x (/.f64 y z) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 z (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x y) z)))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z)))))
(*.f64 z (fma.f64 x (/.f64 y z) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 z x) z)
y
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 z x) z) y)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 z x) z) y)))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 z x) z) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 z x) z) y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 z x) z) y) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 z x) z) y) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (/.f64 z x)) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 z x) z) y)) #s(literal 1 binary64))))
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(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(*.f64 z x)
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(*.f64 z x)
(exp.f64 (log.f64 (*.f64 z x)))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(*.f64 z x)

eval101.0ms (1.4%)

Compiler

Compiled 5847 to 1297 computations (77.8% saved)

prune70.0ms (1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New4405445
Fresh202
Picked145
Done000
Total4439452
Accuracy
100.0%
Counts
452 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(-.f64 z (*.f64 z x))
60.6%
(+.f64 (*.f64 y x) (*.f64 z (neg.f64 x)))
76.8%
(+.f64 (*.f64 x y) z)
63.8%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
26.9%
(*.f64 z (neg.f64 x))
77.5%
(*.f64 y (+.f64 x (/.f64 z y)))
62.6%
(*.f64 x (-.f64 y z))
40.4%
(*.f64 x y)
38.9%
z
Compiler

Compiled 110 to 73 computations (33.6% saved)

simplify90.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 z (neg.f64 x))
cost-diff0
(*.f64 y x)
cost-diff192
(+.f64 (*.f64 y x) (*.f64 z (neg.f64 x)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 z (-.f64 #s(literal 1 binary64) x))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 z (neg.f64 x))
cost-diff-6144
(*.f64 y (+.f64 x (/.f64 z y)))
cost-diff0
(/.f64 z y)
cost-diff0
(+.f64 x (/.f64 z y))
Rules
406×fma-neg
367×div-sub
354×unsub-neg
327×distribute-lft-neg-in
304×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020234
144234
275225
3122212
4218212
5438212
61554212
74644212
87281212
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 y (+.f64 x (/.f64 z y)))
y
(+.f64 x (/.f64 z y))
x
(/.f64 z y)
z
z
(*.f64 z (neg.f64 x))
z
(neg.f64 x)
x
(*.f64 z (-.f64 #s(literal 1 binary64) x))
z
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (*.f64 y x) (*.f64 z (neg.f64 x)))
(*.f64 y x)
y
x
(*.f64 z (neg.f64 x))
z
(neg.f64 x)
Outputs
(*.f64 y (+.f64 x (/.f64 z y)))
(fma.f64 y x z)
y
(+.f64 x (/.f64 z y))
x
(/.f64 z y)
z
z
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
z
(neg.f64 x)
x
(*.f64 z (-.f64 #s(literal 1 binary64) x))
z
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (*.f64 y x) (*.f64 z (neg.f64 x)))
(fma.f64 y x (*.f64 z (neg.f64 x)))
(-.f64 (*.f64 y x) (*.f64 x z))
(*.f64 x (-.f64 y z))
(*.f64 y x)
y
x
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
z
(neg.f64 x)

localize74.0ms (1%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z (neg.f64 x))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(neg.f64 x)
accuracy98.4%
(+.f64 (*.f64 y x) (*.f64 z (neg.f64 x)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(*.f64 z (neg.f64 x))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(/.f64 z y)
accuracy100.0%
(+.f64 x (/.f64 z y))
accuracy92.6%
(*.f64 y (+.f64 x (/.f64 z y)))
Results
40.0ms256×0valid
Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (44.8% of total)
ival-add: 3.0ms (19.2% of total)
ival-div: 2.0ms (12.8% of total)
ival-sub: 1.0ms (6.4% of total)
ival-neg: 1.0ms (6.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.3%)

Counts
8 → 165
Calls
Call 1
Inputs
#<alt (+.f64 x (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 z (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 y x) (*.f64 z (neg.f64 x)))>
#<alt (*.f64 y x)>
Outputs
#<alt (/.f64 z y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))>
#<alt x>
#<alt (/.f64 z y)>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))>
#<alt (/.f64 z y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 z y)>
#<alt (/.f64 (+.f64 z (*.f64 x y)) y)>
#<alt (/.f64 (+.f64 z (*.f64 x y)) y)>
#<alt (/.f64 (+.f64 z (*.f64 x y)) y)>
#<alt x>
#<alt x>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.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 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (*.f64 x (+.f64 y (/.f64 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 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) 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 (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
Calls

54 calls:

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

rewrite183.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
913×log1p-expm1-u
913×expm1-log1p-u
590×fma-define
327×fma-neg
138×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020154
1298142
24470142
Stop Event
node limit
Counts
8 → 393
Calls
Call 1
Inputs
(+.f64 x (/.f64 z y))
(/.f64 z y)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 z (neg.f64 x))
(neg.f64 x)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 y x) (*.f64 z (neg.f64 x)))
(*.f64 y x)
Outputs
(-.f64 (/.f64 z y) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 z y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (/.f64 z y))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 x (/.f64 z y))))
(*.f64 (+.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (/.f64 z y))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 z y))) (sqrt.f64 (+.f64 x (/.f64 z y))))
(*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 z y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 z y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (-.f64 x (/.f64 z y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 z y))))
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(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x z (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 x z))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))
(fma.f64 #s(literal -1 binary64) (*.f64 x z) (*.f64 x y))
(fma.f64 (fma.f64 x z (*.f64 x y)) #s(literal 1 binary64) (fma.f64 x z (*.f64 x z)))
(fma.f64 (fma.f64 x z (*.f64 x y)) #s(literal 1 binary64) (fma.f64 (neg.f64 z) x (*.f64 x z)))
(fma.f64 (fma.f64 x z (*.f64 x y)) #s(literal 1 binary64) (fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 (fma.f64 x z (*.f64 x y)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(fma.f64 (fma.f64 x z (*.f64 x y)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 x z (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (neg.f64 z) x (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 z #s(literal -1 binary64)) x (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z))))
(-.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)))
(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)))

simplify234.0ms (3.3%)

Algorithm
egg-herbie
Rules
815×fma-neg
407×associate-*l*
401×associate-*r*
269×fma-define
198×fma-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072616180
1162714709
2572914678
Stop Event
node limit
Counts
558 → 522
Calls
Call 1
Inputs
(/.f64 z y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
x
(/.f64 z y)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(/.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 z y)
(/.f64 (+.f64 z (*.f64 x y)) y)
(/.f64 (+.f64 z (*.f64 x y)) y)
(/.f64 (+.f64 z (*.f64 x y)) y)
x
x
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.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 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 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 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x y)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #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)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(-.f64 (/.f64 z y) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 z y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (/.f64 z y))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 x (/.f64 z y))))
(*.f64 (+.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (/.f64 z y))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 z y))) (sqrt.f64 (+.f64 x (/.f64 z y))))
(*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 z y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (/.f64 z y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (-.f64 x (/.f64 z y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z y) (+.f64 x (/.f64 z y)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 z y))))
(/.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (/.f64 z y)))
(pow.f64 (+.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 z y)) #s(literal 2 binary64)))
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(fma.f64 (fma.f64 x z (*.f64 x y)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 x z (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (neg.f64 z) x (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 z #s(literal -1 binary64)) x (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z))))
(-.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)))
(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)))
Outputs
(/.f64 z y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 z (*.f64 y x)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 z (*.f64 y x)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 z (*.f64 y x)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x))) (neg.f64 x))
x
(/.f64 z y)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(/.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 #s(literal -1 binary64) y)) (neg.f64 z))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 #s(literal -1 binary64) y)) (neg.f64 z))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 #s(literal -1 binary64) y)) (neg.f64 z))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x z)) (neg.f64 z))
(/.f64 z y)
(/.f64 (+.f64 z (*.f64 x y)) y)
(/.f64 (+.f64 z (*.f64 y x)) y)
(/.f64 (fma.f64 y x z) y)
(/.f64 (+.f64 z (*.f64 x y)) y)
(/.f64 (+.f64 z (*.f64 y x)) y)
(/.f64 (fma.f64 y x z) y)
(/.f64 (+.f64 z (*.f64 x y)) y)
(/.f64 (+.f64 z (*.f64 y x)) y)
(/.f64 (fma.f64 y x z) y)
x
x
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.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 z x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (neg.f64 (-.f64 (neg.f64 y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (neg.f64 (-.f64 (neg.f64 y) (/.f64 z x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (neg.f64 (-.f64 (neg.f64 y) (/.f64 z x))))
(*.f64 x y)
(*.f64 y x)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 y x))
(fma.f64 y x z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) z) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 z (neg.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
z
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
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(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x z (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 x z))))) (fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 z x (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))) (fma.f64 x z (*.f64 z x)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z y)))) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x z (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 x z))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 z x (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))) (fma.f64 (neg.f64 z) x (*.f64 z x)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z y)))) (*.f64 x (+.f64 (neg.f64 z) z)))
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x z (*.f64 x y)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 x z))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 z x (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))) (fma.f64 (neg.f64 z) x (*.f64 z x)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z y)))) (*.f64 x (+.f64 (neg.f64 z) z)))
(fma.f64 #s(literal -1 binary64) (*.f64 x z) (*.f64 x y))
(*.f64 x (-.f64 y z))
(fma.f64 (fma.f64 x z (*.f64 x y)) #s(literal 1 binary64) (fma.f64 x z (*.f64 x z)))
(+.f64 (fma.f64 z x (*.f64 y x)) (fma.f64 x z (*.f64 z x)))
(+.f64 (*.f64 x (+.f64 z y)) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
(fma.f64 (fma.f64 x z (*.f64 x y)) #s(literal 1 binary64) (fma.f64 (neg.f64 z) x (*.f64 x z)))
(+.f64 (fma.f64 z x (*.f64 y x)) (fma.f64 (neg.f64 z) x (*.f64 z x)))
(+.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 (neg.f64 z) z)))
(fma.f64 (fma.f64 x z (*.f64 x y)) #s(literal 1 binary64) (fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x z)))
(+.f64 (fma.f64 z x (*.f64 y x)) (fma.f64 x z (*.f64 z x)))
(+.f64 (*.f64 x (+.f64 z y)) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
(fma.f64 (fma.f64 x z (*.f64 x y)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(+.f64 (fma.f64 z x (*.f64 y x)) (fma.f64 (neg.f64 z) x (*.f64 z x)))
(+.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 (neg.f64 z) z)))
(fma.f64 (fma.f64 x z (*.f64 x y)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))
(+.f64 (fma.f64 z x (*.f64 y x)) (fma.f64 (neg.f64 z) x (*.f64 z x)))
(+.f64 (*.f64 x (+.f64 z y)) (*.f64 x (+.f64 (neg.f64 z) z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 x z (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (fma.f64 x z (*.f64 z x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (neg.f64 z) x (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (fma.f64 (neg.f64 z) x (*.f64 z x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (*.f64 x (+.f64 (neg.f64 z) z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (fma.f64 x z (*.f64 z x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (*.f64 #s(literal 2 binary64) (*.f64 z x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (fma.f64 (neg.f64 z) x (*.f64 z x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (*.f64 x (+.f64 (neg.f64 z) z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (fma.f64 (neg.f64 z) x (*.f64 z x)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 z x))) (*.f64 x (+.f64 (neg.f64 z) z)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 z x (*.f64 y x))
(*.f64 x (+.f64 z y))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 z x (*.f64 y x))
(*.f64 x (+.f64 z y))
(fma.f64 (*.f64 z #s(literal -1 binary64)) x (*.f64 x y))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 z x (*.f64 y x))
(*.f64 x (+.f64 z y))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(fma.f64 z x (*.f64 y x))
(*.f64 x (+.f64 z y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 z x (*.f64 y x))
(*.f64 x (+.f64 z y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z))))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z))))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 z x (*.f64 y x))
(*.f64 x (+.f64 z y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z))))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z))))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x z))
(fma.f64 z x (*.f64 y x))
(*.f64 x (+.f64 z y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z))))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z))))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x z))
(fma.f64 z x (*.f64 y x))
(*.f64 x (+.f64 z y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z))))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z))))
(*.f64 x (-.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 y x)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 y x)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y x)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 y x)
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 y x)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 y x)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 y x)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 y x)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 y x)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 y x)

eval74.0ms (1%)

Compiler

Compiled 8204 to 1315 computations (84% saved)

prune86.0ms (1.2%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New6202622
Fresh000
Picked145
Done044
Total62110631
Accuracy
100.0%
Counts
631 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(-.f64 (*.f64 x y) (*.f64 x z))
63.8%
(-.f64 z (*.f64 z x))
76.8%
(+.f64 (*.f64 x y) z)
63.8%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
26.9%
(*.f64 z (neg.f64 x))
3.5%
(*.f64 z x)
77.5%
(*.f64 y (+.f64 x (/.f64 z y)))
62.6%
(*.f64 x (-.f64 y z))
40.4%
(*.f64 x y)
38.9%
z
Compiler

Compiled 75 to 49 computations (34.7% saved)

simplify27.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 x y)
cost-diff128
(-.f64 (*.f64 x y) (*.f64 x z))
cost-diff0
(*.f64 z x)
Rules
192×fma-define
134×fma-neg
34×cancel-sign-sub-inv
28×sub-neg
23×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01381
12481
24181
36081
49681
514881
625981
742781
861681
969581
1070981
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 z x)
z
x
(-.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x y)
x
y
(*.f64 x z)
z
Outputs
(*.f64 z x)
z
x
(-.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x (-.f64 y z))
(*.f64 x y)
x
y
(*.f64 x z)
(*.f64 z x)
z

localize32.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(*.f64 x y)
accuracy98.4%
(-.f64 (*.f64 x y) (*.f64 x z))
accuracy100.0%
(*.f64 z x)
Results
25.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 10.0ms (88.2% of total)
ival-sub: 1.0ms (8.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts
2 → 33
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x y) (*.f64 x z))>
#<alt (*.f64 x z)>
Outputs
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) z) x))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) z) x))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x y) z) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))>
Calls

15 calls:

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

rewrite171.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
741×log1p-expm1-u
741×expm1-log1p-u
731×unpow-prod-down
473×fma-define
401×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
115135
2205635
Stop Event
node limit
Counts
2 → 245
Calls
Call 1
Inputs
(-.f64 (*.f64 x y) (*.f64 x z))
(*.f64 x z)
Outputs
(+.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(+.f64 (*.f64 x (-.f64 y z)) (fma.f64 x (neg.f64 z) (*.f64 x z)))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x z))) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x (neg.f64 z)))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 x (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (-.f64 y z)) (fma.f64 x (neg.f64 z) (*.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (-.f64 y z)) (fma.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (-.f64 y z)) (*.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (-.f64 y z)) (+.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))) (fma.f64 x (neg.f64 z) (*.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))) (fma.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))) (*.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))) (+.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (sqrt.f64 (*.f64 x z)) (neg.f64 (sqrt.f64 (*.f64 x z))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x (neg.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 y z)) (fma.f64 x (neg.f64 z) (*.f64 x z)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 y z)) (fma.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 y z)) (*.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 y z)) (+.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x (neg.f64 z)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 x (neg.f64 z) (*.f64 x z)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z))) (fma.f64 x (neg.f64 z) (*.f64 x z)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z))) (fma.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z))) (*.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z))) (+.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (neg.f64 x) z (*.f64 x y))
(fma.f64 (-.f64 y z) x (fma.f64 x (neg.f64 z) (*.f64 x z)))
(fma.f64 (-.f64 y z) x (fma.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 (-.f64 y z) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(fma.f64 (-.f64 y z) x (*.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) x (+.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 z))) (cbrt.f64 (*.f64 x (neg.f64 z)))) (cbrt.f64 (*.f64 x (neg.f64 z))) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (neg.f64 z) (*.f64 x z))) (cbrt.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)))) (cbrt.f64 (fma.f64 x (neg.f64 z) (*.f64 x z))) (*.f64 x (-.f64 y z)))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 z))) (sqrt.f64 (*.f64 x (neg.f64 z))) (*.f64 x y))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 z) (*.f64 x z))) (sqrt.f64 (fma.f64 x (neg.f64 z) (*.f64 x z))) (*.f64 x (-.f64 y z)))
(fma.f64 #s(literal -1 binary64) (*.f64 x z) (*.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 x (neg.f64 z) (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (*.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (+.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) z (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x (neg.f64 z)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (neg.f64 z)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (neg.f64 z)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 z)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(+.f64 #s(literal 0 binary64) (*.f64 x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z)) (cbrt.f64 (pow.f64 (exp.f64 x) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x z))) #s(literal 2 binary64)))

simplify184.0ms (2.6%)

Algorithm
egg-herbie
Rules
604×distribute-lft-in
533×distribute-rgt-in
502×fma-neg
311×distribute-lft-neg-in
275×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04768817
110458515
230288317
Stop Event
node limit
Counts
278 → 275
Calls
Call 1
Inputs
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
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(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x z))) #s(literal 2 binary64)))
Outputs
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y)))
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y)))
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y)))
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y)))
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y)))
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y)))
(*.f64 y (-.f64 x (*.f64 x (/.f64 z y))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) x))
(*.f64 z (-.f64 (*.f64 x (/.f64 y z)) x))
(*.f64 z (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) x))
(*.f64 z (-.f64 (*.f64 x (/.f64 y z)) x))
(*.f64 z (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 z (-.f64 (/.f64 (*.f64 x y) z) x))
(*.f64 z (-.f64 (*.f64 x (/.f64 y z)) x))
(*.f64 z (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 z (-.f64 (*.f64 x (/.f64 y z)) x))
(*.f64 z (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 z (-.f64 (*.f64 x (/.f64 y z)) x))
(*.f64 z (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1 binary64) x))))
(*.f64 z (-.f64 (*.f64 x (/.f64 y z)) x))
(*.f64 z (*.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(+.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 x y) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 x (-.f64 y z)) (fma.f64 x (neg.f64 z) (*.f64 x z)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 x (-.f64 y z)) (fma.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64) (*.f64 x z)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 x (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 x (-.f64 y z)) (*.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) #s(literal 1 binary64)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 x (-.f64 y z)) (+.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(*.f64 x (-.f64 y z))
(+.f64 (fma.f64 x (neg.f64 z) (*.f64 x z)) (*.f64 x (-.f64 y z)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 x (neg.f64 z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 y z)))
(*.f64 x (-.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))
(*.f64 x (-.f64 y z))
(*.f64 x (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 3 binary64)))
(*.f64 x (-.f64 y z))
(*.f64 x (pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 2 binary64)))
(*.f64 x (-.f64 y z))
(*.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64))
(*.f64 x (-.f64 y z))
(*.f64 (*.f64 x (-.f64 y z)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z)))
(*.f64 x (-.f64 y z))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)))
(*.f64 x (-.f64 y z))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (-.f64 y z)))
(*.f64 x (-.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (-.f64 y z)) #s(literal 1 binary64)))
(*.f64 x (-.f64 y z))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 y z)))
(*.f64 x (-.f64 y z))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 y z)) #s(literal 1 binary64)))
(*.f64 x (-.f64 y z))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 x (+.f64 y z)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 x (+.f64 y z)))
(*.f64 (-.f64 y z) x)
(*.f64 x (-.f64 y z))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))))
(*.f64 x (-.f64 y z))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (-.f64 y z)))
(*.f64 x (-.f64 y z))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x z))) #s(literal 1 binary64)))
(*.f64 x (-.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y z)))) #s(literal 3 binary64)))
(*.f64 x (-.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) #s(literal 3 binary64)))
(*.f64 x (-.f64 y z))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y z)))) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y z))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y z)))) #s(literal 3 binary64)))
(*.f64 x (-.f64 y z))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 y z)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 y z)))) #s(literal 3 binary64)))
(*.f64 x (-.f64 y z))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x (-.f64 y z))))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 y z)) (sqrt.f64 (*.f64 x (-.f64 y z)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 y z)) (sqrt.f64 (*.f64 x (-.f64 y z)))) #s(literal 1/3 binary64)))
(*.f64 x (-.f64 y z))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y z)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y z)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 7 binary64)) (cbrt.f64 (*.f64 x (-.f64 y z))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (-.f64 y z)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (-.f64 y z))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 y z)))) #s(literal 2 binary64)))
(*.f64 x (-.f64 y z))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) #s(literal 2 binary64)))
(*.f64 x (-.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 y z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 x (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 x z) (*.f64 x (+.f64 y z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 x (+.f64 y z)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y z)))
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(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (neg.f64 z)))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (neg.f64 z)))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 z)))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x (neg.f64 z) (fma.f64 x (neg.f64 z) (*.f64 x z))))
(*.f64 x (-.f64 y z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 x z) (fma.f64 x (neg.f64 z) (*.f64 x z)))))
(*.f64 x (-.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 x z))
(*.f64 x z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z)) (cbrt.f64 (pow.f64 (exp.f64 x) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(*.f64 x z)
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x z)
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 x z)
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(*.f64 x z)
(log.f64 (pow.f64 (exp.f64 x) z))
(*.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(*.f64 x z)
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(*.f64 x z)
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(*.f64 x z)
(exp.f64 (log.f64 (*.f64 x z)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x z))) #s(literal 2 binary64)))
(*.f64 x z)

eval52.0ms (0.7%)

Compiler

Compiled 4912 to 609 computations (87.6% saved)

prune97.0ms (1.4%)

Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New3030303
Fresh000
Picked022
Done088
Total30310313
Accuracy
100.0%
Counts
313 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(-.f64 (*.f64 x y) (*.f64 x z))
63.8%
(-.f64 z (*.f64 z x))
76.8%
(+.f64 (*.f64 x y) z)
63.8%
(*.f64 z (-.f64 #s(literal 1 binary64) x))
26.9%
(*.f64 z (neg.f64 x))
3.5%
(*.f64 z x)
77.5%
(*.f64 y (+.f64 x (/.f64 z y)))
62.6%
(*.f64 x (-.f64 y z))
40.4%
(*.f64 x y)
38.9%
z
Compiler

Compiled 177 to 86 computations (51.4% saved)

regimes23.0ms (0.3%)

Counts
17 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z x)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 y z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x y) z)
(-.f64 z (*.f64 z x))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(-.f64 z (*.f64 x (-.f64 z y)))
(-.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 x) z))
(+.f64 (*.f64 y x) (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x (-.f64 y z) z)
Outputs
(fma.f64 x (-.f64 y z) z)
Calls

4 calls:

6.0ms
z
5.0ms
y
5.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
5.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes24.0ms (0.3%)

Counts
16 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z x)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 y z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x y) z)
(-.f64 z (*.f64 z x))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(-.f64 z (*.f64 x (-.f64 z y)))
(-.f64 (*.f64 x y) (*.f64 x z))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 x) z))
(+.f64 (*.f64 y x) (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
Outputs
(-.f64 z (*.f64 x (-.f64 z y)))
Calls

4 calls:

7.0ms
x
6.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
5.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes12.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(*.f64 z x)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 y z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x y) z)
(-.f64 z (*.f64 z x))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
Outputs
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 x y) z)
(*.f64 x (-.f64 y z))
Calls

3 calls:

4.0ms
z
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
98.5%3x
88.2%3y
88.8%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes30.0ms (0.4%)

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

3 calls:

24.0ms
x
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
80.2%3y
84.0%3z
87.8%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
87.7%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.3%)

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

3 calls:

16.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
57.6%3y
61.8%4z
68.7%4x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
65.6%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
z
Outputs
z
Calls

3 calls:

1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
38.9%1y
38.9%1z
38.9%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch37.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
0.7592628165049096
7.486386911509665
26.0ms
-781726344.8513588
-0.001824198872594734
Results
26.0ms256×0valid
Compiler

Compiled 306 to 205 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 13.0ms (69.9% of total)
ival-mult: 4.0ms (21.5% of total)
ival-add: 1.0ms (5.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch191.0ms (2.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
404.8864893764653
24426.119277373444
178.0ms
-6.754337027682372e-82
-2.0446127261283968e-101
Results
18.0ms288×0valid
Compiler

Compiled 342 to 247 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (56.7% of total)
ival-sub: 2.0ms (22.7% of total)
ival-add: 1.0ms (11.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch98.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.599217927372222e-112
1.1456297996843972e-97
80.0ms
-6.754337027682372e-82
-2.0446127261283968e-101
Results
84.0ms336×0valid
Compiler

Compiled 312 to 223 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (52.5% of total)
ival-sub: 2.0ms (21% of total)
ival-add: 2.0ms (21% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch336.0ms (4.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
5.599217927372222e-112
1.1456297996843972e-97
310.0ms
-6.754337027682372e-82
-2.0446127261283968e-101
7.0ms
-4.919887907341586e+161
-1.4470291514412803e+161
Results
24.0ms416×0valid
Compiler

Compiled 345 to 257 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (59.6% of total)
ival-sub: 2.0ms (17% of total)
ival-add: 2.0ms (17% of total)
const: 1.0ms (8.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
5.599217927372222e-112
1.1456297996843972e-97
17.0ms
-6.754337027682372e-82
-2.0446127261283968e-101
Results
21.0ms336×0valid
Compiler

Compiled 270 to 202 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (66.2% of total)
ival-sub: 2.0ms (18.9% of total)
ival-add: 2.0ms (18.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify42.0ms (0.6%)

Algorithm
egg-herbie
Rules
65×unsub-neg
63×distribute-lft-neg-in
47×neg-mul-1
30×neg-sub0
25×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054391
193391
2115391
3130391
4151391
5176391
6198391
7238391
8287391
9308391
10339391
11359391
12384391
13406391
14431391
15464391
16503391
17510391
18511391
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 y z) z)
(-.f64 z (*.f64 x (-.f64 z y)))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x y) z) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -1067993517960455/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1100 binary64)) (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -2776783146697183/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 2154797213865323/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) z (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -320000000000000002089090478421832498190612548764360547790363025456656376890821796560330800319643745146122959045989625126200003764753392971397905556814025004679168 binary64)) (*.f64 z (neg.f64 x)) (if (<=.f64 x #s(literal -456932444904477/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 2154797213865323/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) z (*.f64 x y))))
(if (<=.f64 x #s(literal -5639005774831203/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 2154797213865323/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) z (*.f64 x y)))
z
Outputs
(fma.f64 x (-.f64 y z) z)
(-.f64 z (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x y) z) (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (*.f64 x (-.f64 y z)) (+.f64 z (*.f64 x y)))
(if (<=.f64 x #s(literal -1067993517960455/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1100 binary64)) (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -1067993517960455/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (not (<=.f64 x #s(literal 1100 binary64)))) (*.f64 x (-.f64 y z)) (*.f64 z (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -2776783146697183/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (*.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 2154797213865323/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) z (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -2776783146697183/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (not (<=.f64 x #s(literal 2154797213865323/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)))) (*.f64 x (-.f64 y z)) z)
(if (<=.f64 x #s(literal -320000000000000002089090478421832498190612548764360547790363025456656376890821796560330800319643745146122959045989625126200003764753392971397905556814025004679168 binary64)) (*.f64 z (neg.f64 x)) (if (<=.f64 x #s(literal -456932444904477/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 2154797213865323/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) z (*.f64 x y))))
(if (<=.f64 x #s(literal -320000000000000002089090478421832498190612548764360547790363025456656376890821796560330800319643745146122959045989625126200003764753392971397905556814025004679168 binary64)) (*.f64 z (neg.f64 x)) (if (or (<=.f64 x #s(literal -456932444904477/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (not (<=.f64 x #s(literal 2154797213865323/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)))) (*.f64 x y) z))
(if (<=.f64 x #s(literal -320000000000000002089090478421832498190612548764360547790363025456656376890821796560330800319643745146122959045989625126200003764753392971397905556814025004679168 binary64)) (*.f64 x (neg.f64 z)) (if (or (<=.f64 x #s(literal -456932444904477/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) (not (<=.f64 x #s(literal 2154797213865323/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)))) (*.f64 x y) z))
(if (<=.f64 x #s(literal -5639005774831203/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 2154797213865323/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) z (*.f64 x y)))
(if (or (<=.f64 x #s(literal -5639005774831203/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) (not (<=.f64 x #s(literal 2154797213865323/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)))) (*.f64 x y) z)
z

soundness883.0ms (12.5%)

Rules
1182×fma-neg
513×distribute-lft-neg-in
356×fma-define
347×fma-define
340×sub-neg
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
064714699
1158314002
2549013221
067914460
1168113796
2598013736
040399
1100387
2237379
3683351
41709339
52871337
63249337
73289337
83293337
93293317
103936317
113936317
Stop Event
done
saturated
node limit
node limit
Compiler

Compiled 509 to 181 computations (64.4% saved)

preprocess126.0ms (1.8%)

Compiler

Compiled 232 to 106 computations (54.3% saved)

end0.0ms (0%)

Profiling

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