Diagrams.Color.HSV:lerp from diagrams-contrib-1.3.0.5

Time bar (total: 6.3s)

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)

sample978.0ms (15.5%)

Results
766.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 395.0ms
ival-mult: 236.0ms (59.8% of total)
ival-add: 89.0ms (22.6% of total)
ival-sub: 56.0ms (14.2% of total)
const: 11.0ms (2.8% of total)
backward-pass: 2.0ms (0.5% of total)
Bogosity

preprocess215.0ms (3.4%)

Algorithm
egg-herbie
Rules
1182×fma-neg
301×fma-define
196×distribute-rgt-in
195×unsub-neg
137×sub-neg
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
040399
1102387
2236379
3682351
41707339
52872337
63242337
73282337
83286337
93286317
103929317
113929317
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y) (*.f64 (neg.f64 x) z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 x z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y) (*.f64 (neg.f64 x) z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 x z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y))
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 y (*.f64 x (-.f64 y z)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 y (*.f64 x (-.f64 y z)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y) (*.f64 (neg.f64 x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y (*.f64 x (neg.f64 z)))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(+.f64 y (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y) (*.f64 x z))
(-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 x z (*.f64 y (+.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 x (+.f64 y z)) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x (neg.f64 z)))
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(-.f64 y (*.f64 x (+.f64 y z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y) (*.f64 (neg.f64 x) z)))
(neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y (*.f64 x (neg.f64 z))))
(-.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 y (-.f64 #s(literal -1 binary64) x) (*.f64 x z))
(-.f64 (*.f64 x (-.f64 z y)) y)
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x (neg.f64 z)))
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(-.f64 y (*.f64 x (+.f64 y z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y) (*.f64 x z))
(-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 x z (*.f64 y (+.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 x (+.f64 y z)) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 y z))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z x))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x z))
(fma.f64 x z (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(-.f64 y (*.f64 z (-.f64 y x)))
(fma.f64 z (-.f64 x y) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)

explain173.0ms (2.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
60-0-(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
00-0-x
00-0-(*.f64 x z)
00-0-z
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) y)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-y
Results
101.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (55.7% of total)
ival-sub: 3.0ms (20.9% of total)
ival-add: 2.0ms (13.9% of total)
const: 1.0ms (7% 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 z y) y)
100.0%
(-.f64 y (*.f64 x (-.f64 y z)))
97.6%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify39.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(fma.f64 x (-.f64 z y) y)
cost-diff0
(-.f64 z y)
cost-diff-6272
(-.f64 y (*.f64 x (-.f64 y z)))
cost-diff0
(-.f64 y z)
cost-diff0
(*.f64 x (-.f64 y z))
cost-diff-6144
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
cost-diff0
(*.f64 x z)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) 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
5685208
6997208
71144208
81156208
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 x z)
z
(-.f64 y (*.f64 x (-.f64 y z)))
y
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
z
(fma.f64 x (-.f64 z y) y)
x
(-.f64 z y)
z
y
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 x (-.f64 z y) y)
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 x z)
z
(-.f64 y (*.f64 x (-.f64 y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 x (-.f64 z y) y)
y
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
z
(fma.f64 x (-.f64 z y) y)
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
x
(-.f64 z y)
z
y

localize54.0ms (0.9%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(fma.f64 x (-.f64 z y) y)
accuracy100.0%
(-.f64 y z)
accuracy100.0%
(*.f64 x (-.f64 y z))
accuracy100.0%
(-.f64 y (*.f64 x (-.f64 y z)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy97.8%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Results
36.0ms256×0valid
Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sub: 6.0ms (37.6% of total)
ival-mult: 6.0ms (37.6% of total)
ival-fma: 3.0ms (18.8% of total)
ival-add: 1.0ms (6.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.4%)

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

63 calls:

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

rewrite423.0ms (6.7%)

Algorithm
batch-egg-rewrite
Rules
1106×log1p-expm1-u
886×expm1-log1p-u
149×add-cube-cbrt
146×add-exp-log
145×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020181
1308181
24681181
Stop Event
node limit
Counts
9 → 256
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x z)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(*.f64 x (-.f64 y z))
(-.f64 y z)
(-.f64 y (*.f64 x (-.f64 y z)))
(-.f64 z y)
(fma.f64 x (-.f64 z y) y)
Outputs
(+.f64 y (*.f64 (neg.f64 x) y))
(+.f64 y (*.f64 y (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #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 #s(literal 1 binary64) x)))
(/.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 #s(literal 1 binary64) x) (-.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 #s(literal 1 binary64) x))
(/.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 #s(literal 1 binary64) x)))
(/.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 (*.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)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 (*.f64 x z)))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 (*.f64 x z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))))
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(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (neg.f64 y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (neg.f64 y))
(+.f64 y (*.f64 x (-.f64 z y)))
(+.f64 (*.f64 x (-.f64 z y)) y)
(+.f64 (*.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) y))
(*.f64 (fma.f64 x (-.f64 z y) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) (sqrt.f64 (fma.f64 x (-.f64 z y) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 z y)) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 z y)) y))
(pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (-.f64 z y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 z y) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 z y) y)))
(exp.f64 (log.f64 (fma.f64 x (-.f64 z y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 1 binary64)))

simplify190.0ms (3%)

Algorithm
egg-herbie
Rules
353×fma-define
338×sub-neg
282×associate-*l*
281×associate-*r*
243×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068014460
1167713808
2588213724
Stop Event
node limit
Counts
466 → 376
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
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(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
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(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.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))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
y
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(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
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(*.f64 x z)
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
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(*.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 #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
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))
y
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(*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 x z)
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) 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 (-.f64 z y))
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
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(-.f64 y (*.f64 x y))
(-.f64 (+.f64 y (*.f64 x z)) (*.f64 x y))
(-.f64 (+.f64 y (*.f64 x z)) (*.f64 x y))
(-.f64 (+.f64 y (*.f64 x z)) (*.f64 x y))
(*.f64 x z)
(*.f64 z (-.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
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(*.f64 z (-.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 x z)
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(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (*.f64 x y)) z)) x)))
(*.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
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))
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z
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y
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(+.f64 (-.f64 y (*.f64 x (-.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) (sqrt.f64 (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))))
(+.f64 (*.f64 x (neg.f64 (-.f64 y z))) y)
(*.f64 #s(literal 1 binary64) (-.f64 y (*.f64 x (-.f64 y z))))
(*.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(*.f64 (sqrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) (sqrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 x (-.f64 y z)) (+.f64 y (*.f64 x (-.f64 y z)))))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x (-.f64 y z)))))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 x (-.f64 y z)) (+.f64 y (*.f64 x (-.f64 y z))))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 x (-.f64 y z))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 x (-.f64 y z)) (+.f64 y (*.f64 x (-.f64 y z))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (+.f64 y (*.f64 x (-.f64 y z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 x (-.f64 y z)) (+.f64 y (*.f64 x (-.f64 y z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (+.f64 y (*.f64 x (-.f64 y z)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 (-.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 (-.f64 y z))) (*.f64 x (neg.f64 (-.f64 y z)))) (*.f64 y (*.f64 x (neg.f64 (-.f64 y z)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 (-.f64 y z))) (*.f64 x (neg.f64 (-.f64 y z))))) (-.f64 y (*.f64 x (neg.f64 (-.f64 y z)))))
(pow.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y (*.f64 x (-.f64 y z))))))
(cbrt.f64 (pow.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(log1p.f64 (expm1.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(exp.f64 (log.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 x (neg.f64 (-.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x (neg.f64 (-.f64 y z))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x (neg.f64 (-.f64 y z))))
(+.f64 z (neg.f64 y))
(+.f64 z (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) z)
(*.f64 #s(literal 1 binary64) (-.f64 z y))
(*.f64 (-.f64 z y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)))
(*.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)))
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y (+.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 y z)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (+.f64 y z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 y (+.f64 y z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y z)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 z (neg.f64 y)))
(pow.f64 (-.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 z y))))
(cbrt.f64 (pow.f64 (-.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 z y)))
(log1p.f64 (expm1.f64 (-.f64 z y)))
(exp.f64 (log.f64 (-.f64 z y)))
(exp.f64 (*.f64 (log.f64 (-.f64 z y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (neg.f64 y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (neg.f64 y))
(+.f64 y (*.f64 x (-.f64 z y)))
(+.f64 (*.f64 x (-.f64 z y)) y)
(+.f64 (*.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) y))
(*.f64 (fma.f64 x (-.f64 z y) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) (sqrt.f64 (fma.f64 x (-.f64 z y) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 z y)) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 z y)) y))
(pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (-.f64 z y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 z y) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 z y) y)))
(exp.f64 (log.f64 (fma.f64 x (-.f64 z y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 1 binary64)))
Outputs
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.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)
y
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 z y))
(*.f64 x (-.f64 y z))
(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 y z)))
(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 y z)))
(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 z y))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 y z)))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 z y)) x)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 z y)) x)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 z y)) x)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 z y)) x)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 z y)) x)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 z y)) x)))
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(cbrt.f64 (pow.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 3 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(expm1.f64 (log1p.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) (*.f64 x z))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) y)))
(log1p.f64 (expm1.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(exp.f64 (log.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(exp.f64 (*.f64 (log.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 1 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x (neg.f64 (-.f64 y z))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x (neg.f64 (-.f64 y z))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x (neg.f64 (-.f64 y z))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 z (neg.f64 y))
(-.f64 y z)
(+.f64 z (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 y z)
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 y z)
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 y z)
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(-.f64 y z)
(+.f64 (neg.f64 y) z)
(-.f64 y z)
(*.f64 #s(literal 1 binary64) (-.f64 z y))
(-.f64 y z)
(*.f64 (-.f64 z y) #s(literal 1 binary64))
(-.f64 y z)
(*.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)))
(-.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)))
(-.f64 y z)
(*.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)))
(-.f64 y z)
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y (+.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (+.f64 y z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.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 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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (+.f64 y z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.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 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (+.f64 y z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 y (+.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (+.f64 y z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (+.f64 y z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 z (neg.f64 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 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(pow.f64 (-.f64 z y) #s(literal 1 binary64))
(-.f64 y z)
(pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 3 binary64))
(-.f64 y z)
(pow.f64 (pow.f64 (-.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 y z)
(pow.f64 (sqrt.f64 (-.f64 z y)) #s(literal 2 binary64))
(-.f64 y z)
(sqrt.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)))
(-.f64 y z)
(log.f64 (exp.f64 (-.f64 z y)))
(-.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 z y))))
(-.f64 y z)
(cbrt.f64 (pow.f64 (-.f64 z y) #s(literal 3 binary64)))
(-.f64 y z)
(expm1.f64 (log1p.f64 (-.f64 z y)))
(expm1.f64 (log1p.f64 (-.f64 y z)))
(log1p.f64 (expm1.f64 (-.f64 z y)))
(-.f64 y z)
(exp.f64 (log.f64 (-.f64 z y)))
(-.f64 y z)
(exp.f64 (*.f64 (log.f64 (-.f64 z y)) #s(literal 1 binary64)))
(-.f64 y z)
(fma.f64 #s(literal 1 binary64) z (neg.f64 y))
(-.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (neg.f64 y))
(-.f64 y z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (neg.f64 y))
(-.f64 y z)
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 (*.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64)) y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) (*.f64 x z))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) y)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) y))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(*.f64 (fma.f64 x (-.f64 z y) y) #s(literal 1 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) (sqrt.f64 (fma.f64 x (-.f64 z y) y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 z y)) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x (*.f64 (-.f64 y z) (+.f64 y (*.f64 x (-.f64 y z)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (*.f64 (-.f64 y z) (fma.f64 x (-.f64 y z) y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (-.f64 y z) (*.f64 x (fma.f64 x (-.f64 y z) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 z y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 x (-.f64 y z))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (-.f64 y z) y))
(/.f64 (pow.f64 (fma.f64 x (-.f64 y z) y) #s(literal 2 binary64)) (fma.f64 x (-.f64 y z) y))
(pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 1 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 3 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 2 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(log.f64 (exp.f64 (fma.f64 x (-.f64 z y) y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 z y) y))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 3 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y)))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) (*.f64 x z))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 z y) y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(exp.f64 (log.f64 (fma.f64 x (-.f64 z y) y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 1 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)

eval42.0ms (0.7%)

Compiler

Compiled 5128 to 1094 computations (78.7% saved)

prune58.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3706376
Fresh000
Picked213
Done000
Total3727379
Accuracy
100.0%
Counts
379 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.7%
(-.f64 y (*.f64 y x))
100.0%
(-.f64 y (*.f64 x (-.f64 y z)))
81.2%
(+.f64 y (*.f64 x z))
59.8%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
89.0%
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
63.1%
(*.f64 x (-.f64 z y))
45.4%
(*.f64 x z)
Compiler

Compiled 114 to 74 computations (35.1% saved)

simplify439.0ms (7%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

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

Useful iterations: 23 (0.0ms)

IterNodesCost
019276
135272
264272
3132271
4244269
5424256
6752256
71332256
83232256
94899256
105908256
116302256
126392256
136437256
146453256
156689256
167020256
177186256
187204256
197222256
207258256
217276256
227292256
237292255
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
x
(-.f64 (+.f64 z (/.f64 y x)) y)
(+.f64 z (/.f64 y x))
z
(/.f64 y x)
y
(*.f64 x z)
x
z
(*.f64 x (-.f64 z y))
x
(-.f64 z y)
z
y
(+.f64 y (*.f64 x z))
y
(*.f64 x z)
x
z
(-.f64 y (*.f64 y x))
y
(*.f64 y x)
x
Outputs
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
x
(-.f64 (+.f64 z (/.f64 y x)) y)
(+.f64 z (-.f64 (/.f64 y x) y))
(+.f64 (/.f64 y x) (-.f64 z y))
(fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) z)
(+.f64 z (/.f64 y x))
z
(/.f64 y x)
y
(*.f64 x z)
x
z
(*.f64 x (-.f64 z y))
x
(-.f64 z y)
z
y
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
y
(*.f64 x z)
x
z
(-.f64 y (*.f64 y x))
(-.f64 y (*.f64 x y))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(*.f64 y x)
(*.f64 x y)
x

localize80.0ms (1.3%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(-.f64 y (*.f64 y x))
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(+.f64 y (*.f64 x z))
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(*.f64 x (-.f64 z y))
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(-.f64 (+.f64 z (/.f64 y x)) y)
accuracy100.0%
(+.f64 z (/.f64 y x))
accuracy89.0%
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
Results
56.0ms256×0valid
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 (42.4% of total)
ival-sub: 4.0ms (24.2% of total)
ival-add: 3.0ms (18.2% of total)
ival-div: 2.0ms (12.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series285.0ms (4.5%)

Counts
8 → 183
Calls
Call 1
Inputs
#<alt (+.f64 z (/.f64 y x))>
#<alt (/.f64 y x)>
#<alt (*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))>
#<alt (-.f64 (+.f64 z (/.f64 y x)) y)>
#<alt (*.f64 x (-.f64 z y))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (-.f64 y (*.f64 y x))>
#<alt (*.f64 y x)>
Outputs
#<alt (/.f64 y x)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt z>
#<alt (/.f64 y x)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))>
#<alt (/.f64 y x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 y x)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) x)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) x)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) x)>
#<alt z>
#<alt z>
#<alt 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 (-.f64 z y))>
#<alt (*.f64 x (-.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 x (-.f64 (/.f64 y x) y))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))>
#<alt (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (/.f64 y x) y)>
#<alt z>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 z (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 z (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 y x)>
#<alt (/.f64 (+.f64 y (*.f64 x (-.f64 z y))) x)>
#<alt (/.f64 (+.f64 y (*.f64 x (-.f64 z y))) x)>
#<alt (/.f64 (+.f64 y (*.f64 x (-.f64 z y))) x)>
#<alt (-.f64 z y)>
#<alt (-.f64 z y)>
#<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 x z)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (*.f64 x z)>
#<alt (*.f64 x (+.f64 z (/.f64 y x)))>
#<alt (*.f64 x (+.f64 z (/.f64 y x)))>
#<alt (*.f64 x (+.f64 z (/.f64 y x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt y>
#<alt (*.f64 x 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 z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 y x) y))>
#<alt (*.f64 x (-.f64 (/.f64 y x) y))>
#<alt (*.f64 x (-.f64 (/.f64 y x) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
Calls

63 calls:

TimeVariablePointExpression
264.0ms
z
@0
(+ z (/ y x))
3.0ms
y
@inf
(+ y (* x z))
1.0ms
x
@-inf
(* x (- (+ z (/ y x)) y))
0.0ms
z
@-inf
(* x (- (+ z (/ y x)) y))
0.0ms
y
@-inf
(* x (- (+ z (/ y x)) y))

rewrite181.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1249×log1p-expm1-u
541×expm1-log1p-u
158×add-cube-cbrt
156×add-exp-log
156×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019185
1323178
25213178
Stop Event
node limit
Counts
8 → 250
Calls
Call 1
Inputs
(+.f64 z (/.f64 y x))
(/.f64 y x)
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
(-.f64 (+.f64 z (/.f64 y x)) y)
(*.f64 x (-.f64 z y))
(+.f64 y (*.f64 x z))
(-.f64 y (*.f64 y x))
(*.f64 y x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (/.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z (/.f64 y x))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 z (/.f64 y x))))
(*.f64 (+.f64 z (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z (/.f64 y x)))
(*.f64 (cbrt.f64 (+.f64 z (/.f64 y x))) (pow.f64 (cbrt.f64 (+.f64 z (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z (/.f64 y x))))
(*.f64 (sqrt.f64 (+.f64 z (/.f64 y x))) (sqrt.f64 (+.f64 z (/.f64 y x))))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) z)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) z))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 y x)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) z))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (/.f64 y x)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (/.f64 y x) z))
(pow.f64 (+.f64 z (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z (/.f64 y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z (/.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z (/.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 z (/.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z (/.f64 y x))))
(log1p.f64 (expm1.f64 (+.f64 z (/.f64 y x))))
(exp.f64 (log.f64 (+.f64 z (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 z (/.f64 y x))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) 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 (exp.f64 (log1p.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 y (*.f64 y (neg.f64 x))))
(pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))

simplify361.0ms (5.7%)

Algorithm
egg-herbie
Rules
516×distribute-lft-neg-in
314×fma-define
278×associate-*r*
276×sub-neg
272×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064714923
1158014243
2545113072
Stop Event
node limit
Counts
433 → 371
Calls
Call 1
Inputs
(/.f64 y x)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
z
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 y x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
z
z
y
(+.f64 y (*.f64 x (-.f64 z y)))
(+.f64 y (*.f64 x (-.f64 z y)))
(+.f64 y (*.f64 x (-.f64 z y)))
(*.f64 x (-.f64 z y))
(*.f64 x (-.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (-.f64 (/.f64 y x) y))
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))
(*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))
(*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 y x) y)
z
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))
z
(+.f64 z (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 z (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 z (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 y x)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) x)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) x)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) x)
(-.f64 z y)
(-.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x z)
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x 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) (*.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 x z)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
y
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 y x)))
(*.f64 x (+.f64 z (/.f64 y x)))
(*.f64 x (+.f64 z (/.f64 y x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
y
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (/.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z (/.f64 y x))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 z (/.f64 y x))))
(*.f64 (+.f64 z (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z (/.f64 y x)))
(*.f64 (cbrt.f64 (+.f64 z (/.f64 y x))) (pow.f64 (cbrt.f64 (+.f64 z (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z (/.f64 y x))))
(*.f64 (sqrt.f64 (+.f64 z (/.f64 y x))) (sqrt.f64 (+.f64 z (/.f64 y x))))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) z)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) z))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
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(exp.f64 (log.f64 (fma.f64 z x y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z x y)) #s(literal 1 binary64)))
(fma.f64 z x y)
(fma.f64 x z 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 y (*.f64 y (neg.f64 x)))
(+.f64 y (*.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 y) x (*.f64 y x)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64) (*.f64 y x)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 y x)))
(+.f64 (*.f64 y (neg.f64 x)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 y (*.f64 y (neg.f64 x))))
(pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
Outputs
(/.f64 y x)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (neg.f64 z))
z
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 y x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (fma.f64 x z y) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (fma.f64 x z y) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (fma.f64 x z y) x)
z
z
y
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 x (-.f64 z y))
(*.f64 x (-.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))
(*.f64 z (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 y x) y) z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))
(*.f64 z (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 y x) y) z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))
(*.f64 z (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 y x) y) z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))
(*.f64 z (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 y x) y) z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))
(*.f64 z (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 y x) y) z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))
(*.f64 z (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 y x) y) z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))))
(*.f64 y (fma.f64 x (/.f64 z y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))))
(*.f64 y (fma.f64 x (/.f64 z y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))))
(*.f64 y (fma.f64 x (/.f64 z y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 y (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))))
(*.f64 y (fma.f64 x (/.f64 z y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 y (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))))
(*.f64 y (fma.f64 x (/.f64 z y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 y (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))))
(*.f64 y (fma.f64 x (/.f64 z y) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 y x) y)
z
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (/.f64 y x)) z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (/.f64 y x)) z)) (neg.f64 z))
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(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(*.f64 y x)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y x)
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 y x)
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 y x)
(log.f64 (pow.f64 (exp.f64 x) y))
(*.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(*.f64 y x)
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(*.f64 y x)
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(*.f64 y x)
(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 y x)
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 y x)

eval123.0ms (1.9%)

Compiler

Compiled 5856 to 1301 computations (77.8% saved)

prune61.0ms (1%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New4434447
Fresh101
Picked145
Done011
Total4459454
Accuracy
100.0%
Counts
454 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.7%
(-.f64 y (*.f64 y x))
100.0%
(-.f64 y (*.f64 x (-.f64 y z)))
81.2%
(+.f64 y (*.f64 x z))
59.8%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
23.6%
(*.f64 y (neg.f64 x))
63.1%
(*.f64 x (-.f64 z y))
70.1%
(*.f64 x (+.f64 (/.f64 y x) z))
45.4%
(*.f64 x z)
38.3%
y
Compiler

Compiled 69 to 45 computations (34.8% saved)

simplify76.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 y (-.f64 #s(literal 1 binary64) x))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 y (neg.f64 x))
cost-diff-6144
(*.f64 x (+.f64 (/.f64 y x) z))
cost-diff0
(/.f64 y x)
cost-diff0
(+.f64 (/.f64 y x) z)
Rules
846×fma-neg
364×distribute-lft-out
357×distribute-lft-out--
330×cancel-sign-sub-inv
285×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
018153
139153
264153
393140
4157140
5307140
61140140
73505140
86306140
Stop Event
node limit
Calls
Call 1
Inputs
y
(*.f64 x (+.f64 (/.f64 y x) z))
x
(+.f64 (/.f64 y x) z)
(/.f64 y x)
y
z
(*.f64 y (neg.f64 x))
y
(neg.f64 x)
x
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
y
(*.f64 x (+.f64 (/.f64 y x) z))
(fma.f64 x z y)
x
(+.f64 (/.f64 y x) z)
(/.f64 y x)
y
z
(*.f64 y (neg.f64 x))
y
(neg.f64 x)
x
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize43.0ms (0.7%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(*.f64 y (neg.f64 x))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(+.f64 (/.f64 y x) z)
accuracy89.0%
(*.f64 x (+.f64 (/.f64 y x) z))
Results
31.0ms256×0valid
Compiler

Compiled 42 to 12 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (48.3% of total)
ival-div: 2.0ms (16.1% of total)
ival-sub: 1.0ms (8.1% of total)
ival-add: 1.0ms (8.1% of total)
ival-neg: 1.0ms (8.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

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

33 calls:

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

rewrite136.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
727×log1p-expm1-u
727×expm1-log1p-u
607×log-prod
357×fma-define
192×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01897
124789
2360889
Stop Event
node limit
Counts
5 → 219
Calls
Call 1
Inputs
(+.f64 (/.f64 y x) z)
(*.f64 x (+.f64 (/.f64 y x) z))
(*.f64 y (neg.f64 x))
(neg.f64 x)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 z (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 y x) z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y x) z)))
(*.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) z))
(*.f64 (cbrt.f64 (+.f64 (/.f64 y x) z)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 y x) z)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y x) z)) (sqrt.f64 (+.f64 (/.f64 y x) z)))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 (/.f64 y x) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 (/.f64 y x) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y x) z) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 (/.f64 y x) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 z (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (/.f64 y x) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 (/.f64 y x) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y x) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) z))
(pow.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 y x) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 y x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 y x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 y x) z))))
(log.f64 (*.f64 (exp.f64 (/.f64 y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 (/.f64 y x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x)))))
(log.f64 (/.f64 (exp.f64 z) (exp.f64 (/.f64 y x))))
(log.f64 (/.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 (/.f64 y x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 y x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 y x) z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 y x) z)))
(exp.f64 (log.f64 (+.f64 (/.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y x) z)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) z)
(fma.f64 (/.f64 y x) #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) (/.f64 y x))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) z)
(fma.f64 #s(literal 1 binary64) z (/.f64 y x))
(fma.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) 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 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) x) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 y x))
(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 y) (/.f64 (sqrt.f64 y) x) z)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (/.f64 y x))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x) z)
(fma.f64 (/.f64 #s(literal 1 binary64) x) y z)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)) z)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) z)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x) z)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)) z)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)) z)
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x) z)
(fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)) z)
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 y x) z)))
(+.f64 (*.f64 x z) (*.f64 x (/.f64 y x)))
(+.f64 (*.f64 x (/.f64 y x)) (*.f64 x z))
(+.f64 (*.f64 (*.f64 x (/.f64 y x)) #s(literal 1 binary64)) (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 y x) z))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 y x) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 y x) z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 y x) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 y x) z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 y x) z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 y x)) (*.f64 x (/.f64 y x)) (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 x (/.f64 y x)) (*.f64 x z)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 y x)) (*.f64 x (/.f64 y x))) (*.f64 (*.f64 x z) (*.f64 x z))) (-.f64 (*.f64 x (/.f64 y x)) (*.f64 x z)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 (/.f64 y x) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (/.f64 y x) z))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 z (+.f64 (/.f64 y x) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (-.f64 (/.f64 y x) z))
(pow.f64 (*.f64 x (+.f64 (/.f64 y x) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 y x) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 y x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (/.f64 y x) z)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x z)) (exp.f64 (*.f64 x (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 y x) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 y x) z))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 y x) z))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 y x) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 y x) z))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x z))
(fma.f64 x (/.f64 y x) (*.f64 x z))
(fma.f64 x z (*.f64 x (/.f64 y x)))
(fma.f64 (/.f64 y x) x (*.f64 x z))
(fma.f64 z x (*.f64 x (/.f64 y x)))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) x) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 x (/.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y x)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y x)) x) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y x)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 x (/.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 x (/.f64 y x)))
(fma.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) x) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y x)) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 x (/.f64 y x)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 x (/.f64 y x)))
(fma.f64 (*.f64 x (/.f64 y x)) #s(literal 1 binary64) (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) (cbrt.f64 (*.f64 x (/.f64 y x)))) (cbrt.f64 (*.f64 x (/.f64 y x))) (*.f64 x z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (*.f64 x z)) (*.f64 x (/.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) (sqrt.f64 (*.f64 x (/.f64 y x))) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 x (/.f64 y x)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 x)) (*.f64 x z))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y x))) (*.f64 x z))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 x (/.f64 y x)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 x (/.f64 y x)))
(fma.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x z))
(fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)) (*.f64 x z))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) (*.f64 x z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (/.f64 y x)))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (/.f64 y x)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x (/.f64 y x)))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (/.f64 y x)))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 y (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) y)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (+.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))) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 y) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))

simplify291.0ms (4.6%)

Algorithm
egg-herbie
Rules
444×fma-neg
408×cancel-sign-sub-inv
340×unswap-sqr
297×distribute-rgt-neg-in
292×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05238095
111507491
242107469
Stop Event
node limit
Counts
339 → 295
Calls
Call 1
Inputs
z
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 y x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
z
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
z
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(/.f64 y x)
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 y x)))
(*.f64 x (+.f64 z (/.f64 y x)))
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(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 y (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) y)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (+.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))) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 y) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
Outputs
z
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 y x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 z x)) x)
(/.f64 (fma.f64 z x y) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 z x)) x)
(/.f64 (fma.f64 z x y) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 z x)) x)
(/.f64 (fma.f64 z x y) x)
z
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
z
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(/.f64 y x)
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) x)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) x)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) x)) (neg.f64 z))
y
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(*.f64 x z)
(*.f64 z x)
(*.f64 x (+.f64 z (/.f64 y x)))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(*.f64 x (+.f64 z (/.f64 y x)))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(*.f64 x (+.f64 z (/.f64 y x)))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(*.f64 x z)
(*.f64 z x)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) #s(literal 1 binary64)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 y (*.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 y (*.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 y (*.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64)))
y
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(*.f64 x z)
(*.f64 z x)
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
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(fma.f64 y x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))))))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(log.f64 (*.f64 (exp.f64 y) (pow.f64 (exp.f64 x) y)))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) y)))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(+.f64 y (*.f64 y x))
(fma.f64 y x y)

eval62.0ms (1%)

Compiler

Compiled 4219 to 1003 computations (76.2% saved)

prune55.0ms (0.9%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New3740374
Fresh000
Picked044
Done055
Total3749383
Accuracy
100.0%
Counts
383 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.7%
(-.f64 y (*.f64 y x))
100.0%
(-.f64 y (*.f64 x (-.f64 y z)))
81.2%
(+.f64 y (*.f64 x z))
59.8%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
23.6%
(*.f64 y (neg.f64 x))
63.1%
(*.f64 x (-.f64 z y))
70.1%
(*.f64 x (+.f64 (/.f64 y x) z))
45.4%
(*.f64 x z)
38.3%
y
Compiler

Compiled 145 to 75 computations (48.3% saved)

regimes20.0ms (0.3%)

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

4 calls:

6.0ms
z
5.0ms
y
4.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes169.0ms (2.7%)

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

4 calls:

155.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
4.0ms
z
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes17.0ms (0.3%)

Counts
9 → 3
Calls
Call 1
Inputs
y
(*.f64 x z)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 z y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 y (*.f64 x z))
(-.f64 y (*.f64 y x))
(*.f64 x (+.f64 (/.f64 y x) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
Outputs
(*.f64 x (-.f64 z y))
(+.f64 y (*.f64 x z))
(*.f64 x (-.f64 z y))
Calls

3 calls:

9.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
92.0%3y
90.3%4z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

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

3 calls:

2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
85.2%3z
84.8%3y
86.3%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

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

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
86.1%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

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

3 calls:

2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
63.4%3y
67.0%3z
70.7%4x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
68.4%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
y
Outputs
y
Calls

3 calls:

1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
38.3%1y
38.3%1z
38.3%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch32.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.07356741140877276
2394744.167093207
16.0ms
-61215.72116186736
-0.018942694480873774
Results
21.0ms288×0valid
Compiler

Compiled 342 to 229 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (73.7% of total)
ival-sub: 2.0ms (16.4% of total)
ival-add: 1.0ms (8.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch161.0ms (2.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
155.0ms
2394744.167093207
3134966378.7839994
4.0ms
-1.5665244257309282e-73
-1.2778331431432238e-73
Results
154.0ms176×0valid
Compiler

Compiled 216 to 156 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61.4% of total)
ival-sub: 1.0ms (20.5% of total)
ival-add: 1.0ms (20.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.2807325803238101e-17
3.683732324464232e-8
4.0ms
-1.5665244257309282e-73
-1.2778331431432238e-73
Results
12.0ms192×0valid
Compiler

Compiled 186 to 133 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (57.4% of total)
ival-sub: 1.0ms (19.1% of total)
ival-add: 1.0ms (19.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.2807325803238101e-17
3.683732324464232e-8
6.0ms
-1.5665244257309282e-73
-1.2778331431432238e-73
11.0ms
-6.6634993715526635e+196
-2.4239206578868335e+194
Results
18.0ms320×0valid
Compiler

Compiled 282 to 209 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (58.9% of total)
ival-sub: 2.0ms (23.6% of total)
ival-add: 1.0ms (11.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.2807325803238101e-17
3.683732324464232e-8
31.0ms
-1.5665244257309282e-73
-1.2778331431432238e-73
Results
38.0ms192×0valid
Compiler

Compiled 162 to 121 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-add: 28.0ms (86.2% of total)
ival-mult: 3.0ms (9.2% of total)
ival-sub: 1.0ms (3.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify41.0ms (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
055391
196391
2118391
3133391
4154391
5179391
6202391
7242391
8291391
9312391
10343391
11363391
12388391
13410391
14435391
15468391
16507391
17514391
18515391
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 z y) y)
(-.f64 y (*.f64 x (-.f64 y z)))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 y (*.f64 x z)) (*.f64 x (-.f64 z y))))
(if (<=.f64 x #s(literal -1153789908470705/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 2400000 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 z y))))
(if (<=.f64 x #s(literal -1153789908470705/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 6591783121186793/1267650600228229401496703205376 binary64)) y (*.f64 x (-.f64 z y))))
(if (<=.f64 x #s(literal -8400000000000000378011614784346173042204388888717040719916714594144760847124858355177879995357313607544874676914117050391434988877614038852892722506309529853273326373886777542277421338399241928704 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal -4933446505185083/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 5324132520958563/2535301200456458802993406410752 binary64)) y (*.f64 x z))))
(if (<=.f64 x #s(literal -1153789908470705/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 8897694032363671/38685626227668133590597632 binary64)) y (*.f64 x z)))
y
Outputs
(fma.f64 x (-.f64 z y) y)
(-.f64 y (*.f64 x (-.f64 y z)))
(+.f64 y (*.f64 x (-.f64 z y)))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 y (*.f64 x z)) (*.f64 x (-.f64 z y))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (*.f64 x (-.f64 z y)) (+.f64 y (*.f64 x z)))
(if (<=.f64 x #s(literal -1153789908470705/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 2400000 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 z y))))
(if (or (<=.f64 x #s(literal -1153789908470705/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (not (<=.f64 x #s(literal 2400000 binary64)))) (*.f64 x (-.f64 z y)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -1153789908470705/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 6591783121186793/1267650600228229401496703205376 binary64)) y (*.f64 x (-.f64 z y))))
(if (or (<=.f64 x #s(literal -1153789908470705/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (not (<=.f64 x #s(literal 6591783121186793/1267650600228229401496703205376 binary64)))) (*.f64 x (-.f64 z y)) y)
(if (<=.f64 x #s(literal -8400000000000000378011614784346173042204388888717040719916714594144760847124858355177879995357313607544874676914117050391434988877614038852892722506309529853273326373886777542277421338399241928704 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal -4933446505185083/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 5324132520958563/2535301200456458802993406410752 binary64)) y (*.f64 x z))))
(if (<=.f64 x #s(literal -8400000000000000378011614784346173042204388888717040719916714594144760847124858355177879995357313607544874676914117050391434988877614038852892722506309529853273326373886777542277421338399241928704 binary64)) (*.f64 y (neg.f64 x)) (if (or (<=.f64 x #s(literal -4933446505185083/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (not (<=.f64 x #s(literal 5324132520958563/2535301200456458802993406410752 binary64)))) (*.f64 x z) y))
(if (<=.f64 x #s(literal -1153789908470705/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 8897694032363671/38685626227668133590597632 binary64)) y (*.f64 x z)))
(if (or (<=.f64 x #s(literal -1153789908470705/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) (not (<=.f64 x #s(literal 8897694032363671/38685626227668133590597632 binary64)))) (*.f64 x z) y)
y

soundness906.0ms (14.4%)

Rules
1182×fma-neg
516×distribute-lft-neg-in
353×fma-define
338×sub-neg
314×fma-define
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
064714923
1158014243
2545113072
068014460
1167713808
2588213724
040399
1102387
2236379
3682351
41707339
52872337
63242337
73282337
83286337
93286317
103929317
113929317
Stop Event
done
saturated
node limit
node limit
Compiler

Compiled 490 to 179 computations (63.5% saved)

preprocess431.0ms (6.8%)

Compiler

Compiled 252 to 122 computations (51.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...