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

Time bar (total: 7.5s)

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)

sample1.3s (17.4%)

Results
680.0ms6586×0valid
201.0ms1670×0infinite
Precisions
Click to see histograms. Total time spent on operations: 352.0ms
ival-sub: 160.0ms (45.5% of total)
ival-mult: 131.0ms (37.2% of total)
ival-add: 46.0ms (13.1% of total)
const: 11.0ms (3.1% of total)
backward-pass: 4.0ms (1.1% of total)
Bogosity

preprocess200.0ms (2.7%)

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 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(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 x (-.f64 y z) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 x z))
(-.f64 (*.f64 x (+.f64 y z)) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z)))
(fma.f64 x (-.f64 (neg.f64 y) z) y)
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y) (*.f64 (neg.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 x (-.f64 (neg.f64 y) z) y)
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z))))
(-.f64 (*.f64 x (+.f64 y z)) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y z))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z x))
(fma.f64 z (-.f64 x y) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y))
(fma.f64 x (-.f64 y z) z)

explain99.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-0-(+.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
47.0ms384×256valid
18.0ms128×256infinite
Compiler

Compiled 68 to 38 computations (44.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 11.0ms (43% of total)
ival-sub: 10.0ms (39.1% of total)
ival-add: 3.0ms (11.7% of total)
const: 1.0ms (3.9% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

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

Compiled 21 to 13 computations (38.1% saved)

localize54.0ms (0.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x (-.f64 z y) y)
100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
98.2%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Results
30.0ms192×256valid
10.0ms64×256infinite
Compiler

Compiled 40 to 17 computations (57.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sub: 7.0ms (33% of total)
ival-mult: 7.0ms (33% of total)
composed: 4.0ms (18.8% of total)
ival-add: 3.0ms (14.1% of total)
const: 1.0ms (4.7% of total)

series14.0ms (0.2%)

Counts
3 → 96
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) x) y)>
#<alt (fma.f64 x (-.f64 z y) y)>
Outputs
#<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 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 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

24 calls:

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

rewrite285.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
767×log1p-expm1-u
767×expm1-log1p-u
584×fma-define
568×log-prod
252×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01779
122779
2319679
Stop Event
node limit
Counts
3 → 162
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(fma.f64 x (-.f64 z y) y)
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)))) (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))) (/.f64 (*.f64 (*.f64 x x) (*.f64 z z)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)))
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))) (cbrt.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))) (cbrt.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))))
(*.f64 (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #s(literal 1/2 binary64)))
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(*.f64 (cbrt.f64 (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (+.f64 y (*.f64 x (-.f64 z y))))) (cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
(*.f64 (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 x (-.f64 z y)) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (-.f64 (*.f64 x (-.f64 z y)) y))
(pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (+.f64 y (*.f64 x (-.f64 z y))))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (+.f64 y (*.f64 x (-.f64 z y)))))
(log.f64 (exp.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (*.f64 x (-.f64 z y))))))
(log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 x (-.f64 z y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (*.f64 x (-.f64 z y)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 z y))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (+.f64 y (*.f64 x (-.f64 z y))))))
(expm1.f64 (log1p.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
(log1p.f64 (expm1.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
(exp.f64 (log.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (*.f64 x (-.f64 z y)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 x (-.f64 z y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(fma.f64 (-.f64 z y) x y)
(fma.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64) y)
(fma.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)) (*.f64 x (-.f64 z y)))
(fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 x (-.f64 z y)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 z y)) y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 x (-.f64 z y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 z y)) y)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 x (-.f64 z y)))) (cbrt.f64 (*.f64 x (-.f64 z y))) y)
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 z y))) (sqrt.f64 (*.f64 x (-.f64 z y))) y)
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) y)
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (-.f64 z y) (-.f64 z y)))) (cbrt.f64 (-.f64 z y)) y)
(fma.f64 (*.f64 x (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64)) y)

simplify106.0ms (1.4%)

Algorithm
egg-herbie
Rules
389×times-frac
356×fma-neg
351×cancel-sign-sub-inv
297×associate-/l*
291×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042211092
1105110120
236199913
Stop Event
node limit
Counts
258 → 219
Calls
Call 1
Inputs
y
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(fma.f64 (sqrt.f64 (*.f64 x (-.f64 z y))) (sqrt.f64 (*.f64 x (-.f64 z y))) y)
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) y)
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (-.f64 z y) (-.f64 z y)))) (cbrt.f64 (-.f64 z y)) y)
(fma.f64 (*.f64 x (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64)) y)
Outputs
y
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(fma.f64 x (-.f64 z y) y)
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 z y))
(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 z y))
(*.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 z (-.f64 (/.f64 y x) y)))
(*.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 z (-.f64 (/.f64 y x) y)))
(*.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 z (-.f64 (/.f64 y x) y)))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 z y) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x 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 (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 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y 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 (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 (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 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 z y) y)
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.f64 x z)
(*.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)))))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.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)))))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.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)))))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 y (*.f64 y 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 (-.f64 (/.f64 y x) y))
(*.f64 x (+.f64 (*.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 (-.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 (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.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 (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
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 (+.f64 z (/.f64 y x)) y))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) y)))
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) y)))
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) 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 x (+.f64 z (-.f64 (/.f64 y x) 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 x (+.f64 z (-.f64 (/.f64 y x) 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 x (+.f64 z (-.f64 (/.f64 y x) y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 y (*.f64 y x))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z)))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z)))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z)))
(fma.f64 x (-.f64 z y) y)
(*.f64 x z)
(*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 y z))))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 y z))))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 y z))))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.f64 x z)
(*.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)))))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.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)))))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.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)))))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(fma.f64 x (-.f64 z y) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(-.f64 y (*.f64 y x))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64))))
(-.f64 y (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) #s(literal 1 binary64))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) #s(literal 1 binary64))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) #s(literal 1 binary64))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 x (-.f64 z y) y)
(+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)))) (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (-.f64 z y) y))) (cbrt.f64 (exp.f64 (fma.f64 x (-.f64 z y) y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (-.f64 z y) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (-.f64 z y) y)))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)))) #s(literal 1 binary64))
(fma.f64 x (-.f64 z y) y)
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))) (/.f64 (*.f64 (*.f64 x x) (*.f64 z z)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y (*.f64 y x)) #s(literal 2 binary64))) (-.f64 (fma.f64 x z (*.f64 y x)) y))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)))
(fma.f64 x (-.f64 z y) y)
(*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #s(literal 1 binary64))
(fma.f64 x (-.f64 z y) y)
(*.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))) (cbrt.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (-.f64 y (*.f64 y x)) #s(literal 3 binary64))) (fma.f64 x (*.f64 z (-.f64 (fma.f64 x z (*.f64 y x)) y)) (pow.f64 (-.f64 y (*.f64 y x)) #s(literal 2 binary64)))))) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (+.f64 (*.f64 (*.f64 x z) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))))) (cbrt.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x (-.f64 z y) y) (/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (-.f64 y (*.f64 y x)) #s(literal 3 binary64))) (fma.f64 x (*.f64 z (-.f64 (fma.f64 x z (*.f64 y x)) y)) (pow.f64 (-.f64 y (*.f64 y x)) #s(literal 2 binary64)))))) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))
(*.f64 (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #s(literal 1/2 binary64)))
(fma.f64 x (-.f64 z y) y)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(literal 1 binary64))
(-.f64 y (*.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 y (*.f64 y x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 y (*.f64 y x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(-.f64 y (*.f64 y x))
(*.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) y))
(*.f64 y (*.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(*.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) (cbrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(*.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) (cbrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) y))
(-.f64 y (*.f64 y x))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/2 binary64)))
(-.f64 y (*.f64 y x))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 y (*.f64 y x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(-.f64 y (*.f64 y x))
(*.f64 (*.f64 y (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (*.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 y (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 y (*.f64 y x))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.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) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) y) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (+.f64 #s(literal 1 binary64) x))
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(-.f64 y (*.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 3 binary64))
(-.f64 y (*.f64 y x))
(pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(literal 1/3 binary64))
(-.f64 y (*.f64 y x))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(-.f64 y (*.f64 y x))
(sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(-.f64 y (*.f64 y x))
(log.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(-.f64 y (*.f64 y x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(-.f64 y (*.f64 y x))
(cbrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(-.f64 y (*.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(-.f64 y (*.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(-.f64 y (*.f64 y x))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(-.f64 y (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)))
(-.f64 y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(-.f64 y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) y (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(-.f64 y (*.f64 y x))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(-.f64 y (*.f64 y x))
(fma.f64 y #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(-.f64 y (*.f64 y x))
(fma.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(-.f64 y (*.f64 y x))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 #s(literal 0 binary64) (+.f64 y (*.f64 x (-.f64 z y))))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64)) y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 y (*.f64 x (-.f64 z y))))) (cbrt.f64 (exp.f64 (+.f64 y (*.f64 x (-.f64 z y))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 y (*.f64 x (-.f64 z y)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (-.f64 z y) y))) (cbrt.f64 (exp.f64 (fma.f64 x (-.f64 z y) y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (-.f64 z y) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 y (*.f64 x (-.f64 z y)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 y (*.f64 x (-.f64 z y)))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (-.f64 z y) y)))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (*.f64 x (-.f64 z y))))) #s(literal 1 binary64))
(fma.f64 x (-.f64 z y) y)
(*.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x (-.f64 z y))))
(fma.f64 x (-.f64 z y) y)
(*.f64 (+.f64 y (*.f64 x (-.f64 z y))) #s(literal 1 binary64))
(fma.f64 x (-.f64 z y) y)
(*.f64 (cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))) (cbrt.f64 (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (+.f64 y (*.f64 x (-.f64 z y))))))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (+.f64 y (*.f64 x (-.f64 z y))))) (cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) #s(literal 1/2 binary64)))
(fma.f64 x (-.f64 z y) y)
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (-.f64 (*.f64 y y) (*.f64 (*.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 y y) (*.f64 (*.f64 x (-.f64 z y)) (-.f64 (*.f64 x (-.f64 z y)) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (-.f64 (*.f64 x (-.f64 z y)) y))
(fma.f64 x (-.f64 z y) y)
(pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) #s(literal 1 binary64))
(fma.f64 x (-.f64 z y) y)
(pow.f64 (cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))) #s(literal 3 binary64))
(fma.f64 x (-.f64 z y) y)
(pow.f64 (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (+.f64 y (*.f64 x (-.f64 z y))))) #s(literal 1/3 binary64))
(fma.f64 x (-.f64 z y) y)
(pow.f64 (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 x (-.f64 z y) y)
(sqrt.f64 (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (+.f64 y (*.f64 x (-.f64 z y)))))
(fma.f64 x (-.f64 z y) y)
(log.f64 (exp.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
(fma.f64 x (-.f64 z y) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (*.f64 x (-.f64 z y))))))
(fma.f64 x (-.f64 z y) y)
(log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 x (-.f64 z y)))))
(fma.f64 x (-.f64 z y) y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (*.f64 x (-.f64 z y)))))
(fma.f64 x (-.f64 z y) y)
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 z y))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(fma.f64 x (-.f64 z y) y)
(cbrt.f64 (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (+.f64 y (*.f64 x (-.f64 z y))))))
(fma.f64 x (-.f64 z y) y)
(expm1.f64 (log1p.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
(fma.f64 x (-.f64 z y) y)
(log1p.f64 (expm1.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
(fma.f64 x (-.f64 z y) y)
(exp.f64 (log.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
(fma.f64 x (-.f64 z y) y)
(exp.f64 (*.f64 (log.f64 (+.f64 y (*.f64 x (-.f64 z y)))) #s(literal 1 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64) y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)) (*.f64 x (-.f64 z y)))
(fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 x (-.f64 z y)))
(fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (*.f64 x (-.f64 z y)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 z y)) y)
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (-.f64 z y) (cbrt.f64 x)) y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 x (-.f64 z y)))) (cbrt.f64 (*.f64 x (-.f64 z y))) y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 z y))) (sqrt.f64 (*.f64 x (-.f64 z y))) y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (-.f64 z y) (-.f64 z y)))) (cbrt.f64 (-.f64 z y)) y)
(fma.f64 (*.f64 x (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64)) y)
(fma.f64 x (-.f64 z y) y)

eval188.0ms (2.5%)

Compiler

Compiled 7726 to 3352 computations (56.6% saved)

prune113.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4689477
Fresh000
Picked202
Done000
Total4709479
Accuracy
100.0%
Counts
479 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
62.1%
(-.f64 y (*.f64 y x))
100.0%
(+.f64 (*.f64 x (-.f64 z y)) y)
73.2%
(+.f64 y (*.f64 x z))
87.8%
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))
87.6%
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
67.8%
(*.f64 x (-.f64 z y))
41.4%
(*.f64 x z)
34.1%
y
Compiler

Compiled 162 to 102 computations (37% saved)

localize332.0ms (4.4%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
92.2%
(/.f64 (*.f64 x z) y)
89.4%
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))
100.0%
(-.f64 y (*.f64 y x))
100.0%
(*.f64 x (-.f64 z y))
100.0%
(+.f64 (*.f64 x (-.f64 z y)) y)
100.0%
(*.f64 x (-.f64 z y))
Results
293.0ms192×256valid
12.0ms64×256infinite
Compiler

Compiled 83 to 21 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 7.0ms (32.7% of total)
ival-sub: 6.0ms (28.1% of total)
ival-add: 5.0ms (23.4% of total)
ival-div: 2.0ms (9.4% of total)
const: 1.0ms (4.7% of total)

series20.0ms (0.3%)

Counts
6 → 141
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 z y))>
#<alt (+.f64 (*.f64 x (-.f64 z y)) y)>
#<alt (*.f64 x (-.f64 z y))>
#<alt (-.f64 y (*.f64 y x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))>
#<alt (/.f64 (*.f64 x z) y)>
Outputs
#<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 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))))>
#<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 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 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 #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 y>
#<alt (+.f64 y (*.f64 x (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))))>
#<alt (+.f64 y (*.f64 x (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))))>
#<alt (+.f64 y (*.f64 x (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))))>
#<alt (*.f64 x (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 x (+.f64 (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))) (/.f64 y x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 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)))))>
Calls

51 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(- y (* y x))
1.0ms
x
@-inf
(- y (* y x))
1.0ms
y
@-inf
(* y (- (+ 1 (/ (* x z) y)) x))
1.0ms
z
@0
(* y (- (+ 1 (/ (* x z) y)) x))
1.0ms
x
@0
(* y (- (+ 1 (/ (* x z) y)) x))

rewrite204.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1283×log1p-expm1-u
410×expm1-log1p-u
159×add-cube-cbrt
157×add-exp-log
157×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020161
1336154
25313154
Stop Event
node limit
Counts
6 → 243
Calls
Call 1
Inputs
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 x (-.f64 z y)) y)
(*.f64 x (-.f64 z y))
(-.f64 y (*.f64 y x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))
(/.f64 (*.f64 x z) y)
Outputs
(+.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 z y)))) #s(literal 1 binary64))
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(*.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 z y) (-.f64 z y))) (*.f64 (cbrt.f64 (-.f64 z y)) x))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (cbrt.f64 (*.f64 x (-.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 z y)))
(*.f64 (pow.f64 (-.f64 z y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (-.f64 z y) #s(literal 1/2 binary64)) x))
(*.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (-.f64 z y)))
(*.f64 (*.f64 x (cbrt.f64 (*.f64 (-.f64 z y) (-.f64 z y)))) (cbrt.f64 (-.f64 z y)))
(*.f64 (*.f64 x (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 z y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 z y) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (-.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 z z) (*.f64 y (+.f64 z y))))
(/.f64 (*.f64 x (*.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y))
(/.f64 (*.f64 (-.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) x) (+.f64 (*.f64 z z) (*.f64 y (+.f64 z y))))
(/.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) x) (+.f64 z y))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))
(log.f64 (exp.f64 (*.f64 x (-.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 z y)))))
(cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 z y))) #s(literal 1 binary64)))
(+.f64 y (*.f64 x (-.f64 z y)))
(+.f64 (*.f64 x (-.f64 z y)) y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (*.f64 x (-.f64 z y))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (-.f64 (*.f64 x (-.f64 z y)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x (-.f64 z y)) y)))
(*.f64 (+.f64 y (*.f64 x (-.f64 z y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x (-.f64 z y))))
(*.f64 (cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))) (cbrt.f64 (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (+.f64 y (*.f64 x (-.f64 z y))))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (+.f64 y (*.f64 x (-.f64 z y))))) (cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
(*.f64 (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y (-.f64 y (*.f64 x (-.f64 z y)))))))
(*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y (-.f64 y (*.f64 x (-.f64 z y))))) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (-.f64 z y)) y) (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y))))
(/.f64 (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y (-.f64 y (*.f64 x (-.f64 z y))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 x (*.f64 (-.f64 z y) y)))))
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(cbrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))) (*.f64 y (*.f64 y y))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))) #s(literal 1 binary64))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 z (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (cbrt.f64 (*.f64 x (*.f64 (/.f64 z y) (*.f64 x (/.f64 z y))))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 z y) (*.f64 x (/.f64 z y))))) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 z z))) (/.f64 (cbrt.f64 (*.f64 x z)) y))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (cbrt.f64 (*.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) y))
(*.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 z y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/2 binary64))) (/.f64 z (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 z (pow.f64 y #s(literal 1/2 binary64))) (/.f64 x (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 x z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 z z))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x z)) y))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 z z))) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 y y))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (cbrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y z) x) #s(literal 1 binary64)))
(/.f64 (*.f64 x z) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y z) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 (*.f64 x z) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (*.f64 (/.f64 z y) (*.f64 x (/.f64 z y))))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 y z) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y))
(sqrt.f64 (*.f64 x (*.f64 (/.f64 z y) (*.f64 x (/.f64 z y)))))
(log.f64 (exp.f64 (*.f64 x (/.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 z y)))))
(cbrt.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (*.f64 (/.f64 z y) (*.f64 x (/.f64 z y))))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) #s(literal 1 binary64)))

simplify145.0ms (1.9%)

Algorithm
egg-herbie
Rules
668×fma-neg
411×associate-*r*
366×associate-*l*
272×distribute-lft-in
269×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054616350
1150114415
2590814150
Stop Event
node limit
Counts
384 → 286
Calls
Call 1
Inputs
(*.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))
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(*.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))))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
y
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
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(*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 y z))))
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(*.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)))))
(*.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)))))
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(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
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(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.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)))))
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y
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(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) y)
(*.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (cbrt.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))) y))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (*.f64 y (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (cbrt.f64 (*.f64 y (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))))) (cbrt.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) y))
(*.f64 (pow.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 y (cbrt.f64 (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 y (pow.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 y (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) (*.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))))) (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) (*.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))))))
(/.f64 (*.f64 y (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) (*.f64 x x))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) (*.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))))) (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))) y) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) (*.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) (*.f64 x x)) y) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))))
(pow.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))) (*.f64 y (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))))))
(log.f64 (exp.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (*.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))) (*.f64 y (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))))))
(cbrt.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))) (*.f64 y (*.f64 y y))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 (*.f64 x (/.f64 z y)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))) #s(literal 1 binary64))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 z (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))
(*.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (cbrt.f64 (*.f64 x (*.f64 (/.f64 z y) (*.f64 x (/.f64 z y))))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 z y) (*.f64 x (/.f64 z y))))) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 z z))) (/.f64 (cbrt.f64 (*.f64 x z)) y))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (cbrt.f64 (*.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) y))
(*.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 z y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/2 binary64))) (/.f64 z (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 z (pow.f64 y #s(literal 1/2 binary64))) (/.f64 x (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 x z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 z z))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x z)) y))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 z z))) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 y y))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (cbrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y z) x) #s(literal 1 binary64)))
(/.f64 (*.f64 x z) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y z) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 (*.f64 x z) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (*.f64 (/.f64 z y) (*.f64 x (/.f64 z y))))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 y z) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y))
(sqrt.f64 (*.f64 x (*.f64 (/.f64 z y) (*.f64 x (/.f64 z y)))))
(log.f64 (exp.f64 (*.f64 x (/.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 z y)))))
(cbrt.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (*.f64 (/.f64 z y) (*.f64 x (/.f64 z y))))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x (-.f64 z y))
(*.f64 x z)
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (-.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (-.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (-.f64 x (/.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 z (-.f64 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 z (-.f64 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 z (-.f64 x (/.f64 (*.f64 x y) z)))
(*.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x (-.f64 z y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x (-.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (/.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 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 x (-.f64 z y))
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.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 (-.f64 (+.f64 (neg.f64 z) y) (/.f64 y x)) (neg.f64 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 (-.f64 (+.f64 (neg.f64 z) y) (/.f64 y x)) (neg.f64 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 (-.f64 (+.f64 (neg.f64 z) y) (/.f64 y x)) (neg.f64 x))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 y (*.f64 x y))
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z)))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z)))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z)))
(fma.f64 x (-.f64 z y) y)
(*.f64 x z)
(*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 y z))))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 y z))))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 y z))))
(*.f64 z (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) z) x))
(*.f64 x z)
(*.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)))))
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 x y) y) z) x) (neg.f64 z))
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(*.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) y))
(*.f64 x (/.f64 z y))
(*.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 z y))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 z y)))
(*.f64 x (/.f64 z y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x z))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 z (cbrt.f64 y)))
(*.f64 x (/.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/2 binary64))) (/.f64 z (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 z (pow.f64 y #s(literal 1/2 binary64))) (/.f64 x (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(*.f64 x (/.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 x z) (cbrt.f64 y)))
(*.f64 x (/.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 z z))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x z)) y))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 x z)) y))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 z z))) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x z)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) y))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 y y))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 1/2 binary64)) (cbrt.f64 y)))
(*.f64 x (/.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x))
(*.f64 x (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y z) x) #s(literal 1 binary64)))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 x (/.f64 z y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y z) x)))
(*.f64 x (/.f64 z y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 (*.f64 x z) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 z y))
(/.f64 (/.f64 (*.f64 x z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 x (/.f64 (/.f64 z (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64))
(*.f64 x (/.f64 z y))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal 3 binary64))
(*.f64 x (/.f64 z y))
(pow.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (*.f64 (/.f64 z y) (*.f64 x (/.f64 z y))))) #s(literal 1/3 binary64))
(*.f64 x (/.f64 z y))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x (/.f64 z y))
(pow.f64 (/.f64 (/.f64 y z) x) #s(literal -1 binary64))
(*.f64 x (/.f64 z y))
(neg.f64 (/.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) y)))
(*.f64 x (/.f64 z y))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y))
(*.f64 x (/.f64 z y))
(sqrt.f64 (*.f64 x (*.f64 (/.f64 z y) (*.f64 x (/.f64 z y)))))
(*.f64 x (/.f64 z y))
(log.f64 (exp.f64 (*.f64 x (/.f64 z y))))
(*.f64 x (/.f64 z y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 z y)))))
(*.f64 x (/.f64 z y))
(cbrt.f64 (*.f64 (*.f64 x (/.f64 z y)) (*.f64 x (*.f64 (/.f64 z y) (*.f64 x (/.f64 z y))))))
(*.f64 x (/.f64 z y))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(+.f64 (*.f64 x (/.f64 z y)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(*.f64 x (/.f64 z y))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(*.f64 x (/.f64 z y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) #s(literal 1 binary64)))
(*.f64 x (/.f64 z y))

eval370.0ms (4.9%)

Compiler

Compiled 12283 to 4098 computations (66.6% saved)

prune109.0ms (1.4%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New8293832
Fresh224
Picked055
Done000
Total83110841
Accuracy
100.0%
Counts
841 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(-.f64 y (*.f64 y x))
100.0%
(+.f64 (*.f64 x (-.f64 z y)) y)
73.2%
(+.f64 (*.f64 x z) y)
40.6%
(*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y)))
87.8%
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))
87.6%
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
67.8%
(*.f64 x (-.f64 z y))
30.5%
(*.f64 x (neg.f64 y))
41.4%
(*.f64 x z)
34.1%
y
Compiler

Compiled 166 to 94 computations (43.4% saved)

localize103.0ms (1.4%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))
99.0%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y))
84.1%
(-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y))
44.7%
(*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y)))
100.0%
(+.f64 (*.f64 x z) y)
100.0%
(+.f64 z (/.f64 y x))
87.6%
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
Results
55.0ms192×256valid
15.0ms64×256infinite
Compiler

Compiled 137 to 24 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 16.0ms (45.1% of total)
ival-sub: 9.0ms (25.4% of total)
ival-div: 6.0ms (16.9% of total)
ival-add: 3.0ms (8.5% of total)
const: 1.0ms (2.8% of total)
ival-neg: 1.0ms (2.8% of total)

series86.0ms (1.1%)

Counts
7 → 237
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))>
#<alt (+.f64 z (/.f64 y x))>
#<alt (+.f64 (*.f64 x z) y)>
#<alt (*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y)))>
#<alt (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y))>
#<alt (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))>
Outputs
#<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 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 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 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 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 (-.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 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) y))>
#<alt (-.f64 (+.f64 (*.f64 z (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) y))) (/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) y) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) y)))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) y)) (/.f64 (*.f64 x z) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 z y) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z)) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) z)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z)) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) z)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) y)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) y)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) y)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) y)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))) y)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))) y)) (pow.f64 x #s(literal 2 binary64))))>
Calls

63 calls:

TimeVariablePointExpression
5.0ms
y
@inf
(* x (- (+ z (/ y x)) y))
4.0ms
z
@0
(* (- (* (* x (- z y)) (* x (- z y))) (* y y)) (/ 1 (- (* x (- z y)) y)))
2.0ms
y
@inf
(* (- (* (* x (- z y)) (* x (- z y))) (* y y)) (/ 1 (- (* x (- z y)) y)))
2.0ms
y
@-inf
(* (- (* (* x (- z y)) (* x (- z y))) (* y y)) (/ 1 (- (* x (- z y)) y)))
2.0ms
z
@0
(/ 1 (- (* x (- z y)) y))

rewrite421.0ms (5.6%)

Algorithm
batch-egg-rewrite
Rules
863×log1p-expm1-u
207×expm1-log1p-u
206×add-cube-cbrt
203×add-exp-log
203×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024267
1438215
26987215
Stop Event
node limit
Counts
7 → 337
Calls
Call 1
Inputs
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
(+.f64 z (/.f64 y x))
(+.f64 (*.f64 x z) y)
(*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y)))
(-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y))
(*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))
Outputs
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(+.f64 (*.f64 x z) (*.f64 (-.f64 (/.f64 y x) y) x))
(+.f64 (*.f64 x (+.f64 z (/.f64 y x))) (*.f64 x (*.f64 #s(literal -1 binary64) y)))
(+.f64 (*.f64 (+.f64 z (/.f64 y x)) x) (*.f64 (*.f64 #s(literal -1 binary64) y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) x)
(*.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) (+.f64 (/.f64 y x) (-.f64 z y)))) (*.f64 (cbrt.f64 (+.f64 (/.f64 y x) (-.f64 z y))) x))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))) (cbrt.f64 (*.f64 x (*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))))) (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 (/.f64 y x) (-.f64 z y))))
(*.f64 (pow.f64 (+.f64 (/.f64 y x) (-.f64 z y)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (+.f64 (/.f64 y x) (-.f64 z y)) #s(literal 1/2 binary64)) x))
(*.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 (/.f64 y x) (-.f64 z y))))
(*.f64 (*.f64 x (cbrt.f64 (*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) (+.f64 (/.f64 y x) (-.f64 z y))))) (cbrt.f64 (+.f64 (/.f64 y x) (-.f64 z y))))
(*.f64 (*.f64 x (pow.f64 (+.f64 (/.f64 y x) (-.f64 z y)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (/.f64 y x) (-.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (-.f64 (*.f64 (+.f64 z (/.f64 y x)) (*.f64 (+.f64 z (/.f64 y x)) (+.f64 z (/.f64 y x)))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (+.f64 z (/.f64 y x)) (+.f64 z (/.f64 y x))) (*.f64 y (+.f64 y (+.f64 z (/.f64 y x))))))
(/.f64 (*.f64 x (-.f64 (*.f64 (+.f64 z (/.f64 y x)) (+.f64 z (/.f64 y x))) (*.f64 y y))) (+.f64 y (+.f64 z (/.f64 y x))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 z (/.f64 y x)) (*.f64 (+.f64 z (/.f64 y x)) (+.f64 z (/.f64 y x)))) (*.f64 y (*.f64 y y))) x) (+.f64 (*.f64 (+.f64 z (/.f64 y x)) (+.f64 z (/.f64 y x))) (*.f64 y (+.f64 y (+.f64 z (/.f64 y x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 z (/.f64 y x)) (+.f64 z (/.f64 y x))) (*.f64 y y)) x) (+.f64 y (+.f64 z (/.f64 y x))))
(pow.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y))) (*.f64 x (*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y))))))
(log.f64 (exp.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y))))))
(cbrt.f64 (*.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y))) (*.f64 x (*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))))))
(cbrt.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) (*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) (+.f64 (/.f64 y x) (-.f64 z y))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) (*.f64 (+.f64 (/.f64 y x) (-.f64 z y)) (+.f64 (/.f64 y x) (-.f64 z y)))) (*.f64 x (*.f64 x x))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))) #s(literal 1 binary64)))
(+.f64 z (/.f64 y x))
(+.f64 (/.f64 y x) z)
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (/.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (/.f64 y x))) (/.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.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))) (cbrt.f64 (*.f64 (+.f64 z (/.f64 y x)) (+.f64 z (/.f64 y x)))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 z (/.f64 y x)) (+.f64 z (/.f64 y x)))) (cbrt.f64 (+.f64 z (/.f64 y x))))
(*.f64 (pow.f64 (+.f64 z (/.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 z (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 z (/.f64 x y))) (+.f64 z (/.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 z z) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 z (/.f64 x y)))))
(*.f64 (-.f64 (*.f64 z z) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 z (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 z (/.f64 x y))) (*.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 z (/.f64 x y))) (+.f64 z (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 y x)) (-.f64 (*.f64 z z) (*.f64 (/.f64 y x) (/.f64 y x)))))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 z (/.f64 x y))) (+.f64 z (/.f64 y x))) (-.f64 (+.f64 (*.f64 z z) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 z (/.f64 x y))))
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 z (/.f64 x y))) (+.f64 z (/.f64 y x))) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (-.f64 (*.f64 z z) (/.f64 z (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (/.f64 y x) (/.f64 y x))) (-.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 z (/.f64 x y))) (+.f64 z (/.f64 y x)))) (neg.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 z (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 (/.f64 y x) (/.f64 y x)))) (neg.f64 (-.f64 z (/.f64 y x))))
(/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 z z)) (-.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 (*.f64 (+.f64 z (/.f64 y x)) (*.f64 (+.f64 z (/.f64 y x)) (+.f64 z (/.f64 y x)))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 z (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (+.f64 z (/.f64 y x)) (+.f64 z (/.f64 y x))))
(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 (*.f64 (+.f64 z (/.f64 y x)) (*.f64 (+.f64 z (/.f64 y x)) (+.f64 z (/.f64 y x)))))
(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 (cbrt.f64 (*.f64 (/.f64 y x) (/.f64 y x))) (cbrt.f64 (/.f64 y x)) z)
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(*.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 (-.f64 z y) (-.f64 z y)))) (cbrt.f64 (-.f64 z y)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (+.f64 (*.f64 z (*.f64 z z)) (neg.f64 (*.f64 y (*.f64 y y))))) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (-.f64 (*.f64 z z) (*.f64 y y))) (+.f64 z y))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 x (*.f64 (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))))
(log.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x (-.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 z y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x (-.f64 z y)))) #s(literal 1 binary64)))

simplify262.0ms (3.5%)

Algorithm
egg-herbie
Rules
839×times-frac
793×fma-define
378×*-commutative
277×sub-neg
266×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0132140726
1414935465
Stop Event
node limit
Counts
574 → 615
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 x (-.f64 z y)))
(+.f64 y (*.f64 x (-.f64 z y)))
(+.f64 y (*.f64 x (-.f64 z y)))
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(/.f64 y x)
z
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z
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z
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(/.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
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y
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y
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x (-.f64 z y)) y) (-.f64 (*.f64 x (-.f64 z y)) y))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (-.f64 z y)) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (-.f64 z y)) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x (-.f64 z y)) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y))) (+.f64 y (*.f64 x (-.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (*.f64 y (*.f64 y y)))) (+.f64 (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (*.f64 x (*.f64 (-.f64 z y) y))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (-.f64 z y)) y))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (-.f64 z y)) y)))
(/.f64 (pow.f64 (-.f64 (*.f64 x (-.f64 z y)) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 x (-.f64 z y)) y) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (-.f64 (*.f64 x (-.f64 z y)) y) (-.f64 (*.f64 x (-.f64 z y)) y)))) (cbrt.f64 (-.f64 (*.f64 x (-.f64 z y)) y)))
(pow.f64 (-.f64 (*.f64 x (-.f64 z y)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (*.f64 x (-.f64 z y)) y))) #s(literal 3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x (-.f64 z y)) y) (-.f64 (*.f64 x (-.f64 z y)) y))) (-.f64 (*.f64 x (-.f64 z y)) y)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (-.f64 z y)) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x (-.f64 z y)) y) (-.f64 (*.f64 x (-.f64 z y)) y))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y)))))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x (-.f64 z y)) y) (-.f64 (*.f64 x (-.f64 z y)) y))) (-.f64 (*.f64 x (-.f64 z y)) y)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (*.f64 x (-.f64 z y)) y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (-.f64 z y)) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (*.f64 x (-.f64 z y)) y))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) z) (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (*.f64 #s(literal -1 binary64) y)))
(+.f64 (*.f64 z (*.f64 x (*.f64 x (-.f64 z y)))) (*.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 x (-.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))) #s(literal 1 binary64))
(*.f64 x (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y))))
(*.f64 x (*.f64 x (*.f64 (-.f64 z y) (-.f64 z y))))
(*.f64 (-.f64 z y) (*.f64 x (*.f64 x (-.f64 z y))))
(*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))
(*.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (cbrt.f64 (*.f64 x (*.f64 (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (*.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) (*.f64 x (-.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))) (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y)))))
(*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (-.f64 z y) (-.f64 z y)))
(*.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1/2 binary64)) (*.f64 x (-.f64 z y))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y)))))
(*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (-.f64 z y))
(*.f64 (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y))) x)
(*.f64 (*.f64 (*.f64 x (-.f64 z y)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 x (-.f64 z y)) (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))) (cbrt.f64 (*.f64 x (-.f64 z y))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 z y)) (-.f64 z y))
(*.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) #s(literal 1 binary64)) (-.f64 z y))
(*.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 (-.f64 z y) (-.f64 z y)))) (cbrt.f64 (-.f64 z y)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (+.f64 (*.f64 z (*.f64 z z)) (neg.f64 (*.f64 y (*.f64 y y))))) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (-.f64 (*.f64 z z) (*.f64 y y))) (+.f64 z y))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 x (*.f64 (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))))
(log.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x (-.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 z y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x (-.f64 z y)))) #s(literal 1 binary64)))
Outputs
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 (neg.f64 (-.f64 (neg.f64 (-.f64 z y)) (/.f64 y x))) 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 (neg.f64 (-.f64 (neg.f64 (-.f64 z y)) (/.f64 y x))) 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 (neg.f64 (-.f64 (neg.f64 (-.f64 z y)) (/.f64 y x))) x)
(*.f64 x (-.f64 (/.f64 y x) y))
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) y)))
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) y)))
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) y)))
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 (*.f64 x (-.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 x (-.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 x (-.f64 (/.f64 y x) y)) z)))
(*.f64 z (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x))
(*.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 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x)))
(*.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 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x)))
(*.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 (neg.f64 z) (neg.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x)))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 z (*.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 z (*.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 z (*.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 (*.f64 y x) (+.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 (fma.f64 x (/.f64 z y) (*.f64 x (+.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 (fma.f64 x (/.f64 z y) (*.f64 x (+.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 (fma.f64 x (/.f64 z y) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 x (neg.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 (neg.f64 y) (fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 z) x) y)))
(*.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 (neg.f64 y) (fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 z) x) y)))
(*.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 (neg.f64 y) (fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 z) x) y)))
(/.f64 y x)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(+.f64 z (*.f64 z (/.f64 (/.f64 y x) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(+.f64 z (*.f64 z (/.f64 (/.f64 y x) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(+.f64 z (*.f64 z (/.f64 (/.f64 y 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 (/.f64 y 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 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y 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 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y 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 (neg.f64 y) (-.f64 (/.f64 (neg.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 (neg.f64 y) (-.f64 (/.f64 (neg.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 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) x)))
(/.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 z))
(fma.f64 x z y)
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
(+.f64 y (*.f64 x z))
(fma.f64 x z 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 (neg.f64 (-.f64 (/.f64 (neg.f64 y) x) 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 (neg.f64 (-.f64 (/.f64 (neg.f64 y) x) 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 (neg.f64 (-.f64 (/.f64 (neg.f64 y) x) z)) x)
y
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
(+.f64 y (*.f64 x z))
(fma.f64 x z 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 (neg.f64 z) (-.f64 (neg.f64 x) (/.f64 y z)))
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(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (neg.f64 y)))
(/.f64 (pow.f64 (-.f64 (*.f64 x (-.f64 z y)) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 x (-.f64 z y)) y) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (fma.f64 x (-.f64 z y) (neg.f64 y)) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 x (-.f64 z y) (neg.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (-.f64 (*.f64 x (-.f64 z y)) y) (-.f64 (*.f64 x (-.f64 z y)) y)))) (cbrt.f64 (-.f64 (*.f64 x (-.f64 z y)) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (fma.f64 x (-.f64 z y) (neg.f64 y)) (fma.f64 x (-.f64 z y) (neg.f64 y))))) (cbrt.f64 (fma.f64 x (-.f64 z y) (neg.f64 y))))
(pow.f64 (-.f64 (*.f64 x (-.f64 z y)) y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (neg.f64 y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (neg.f64 y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (*.f64 x (-.f64 z y)) y))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (neg.f64 y)))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x (-.f64 z y)) y) (-.f64 (*.f64 x (-.f64 z y)) y))) (-.f64 (*.f64 x (-.f64 z y)) y)) #s(literal 1/3 binary64))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 z y) (neg.f64 y)) #s(literal 3 binary64))))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (-.f64 z y)) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (neg.f64 y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x (-.f64 z y)) y) (-.f64 (*.f64 x (-.f64 z y)) y))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 z y) (neg.f64 y)) (fma.f64 x (-.f64 z y) (neg.f64 y)))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (neg.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (neg.f64 y)))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x (-.f64 z y)) y) (-.f64 (*.f64 x (-.f64 z y)) y))) (-.f64 (*.f64 x (-.f64 z y)) y)))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 z y) (neg.f64 y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (neg.f64 y)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (neg.f64 y)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (*.f64 x (-.f64 z y)) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (-.f64 z y)) y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (neg.f64 y)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (*.f64 x (-.f64 z y)) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) (neg.f64 y)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) z) (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (*.f64 #s(literal -1 binary64) y)))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(+.f64 (*.f64 z (*.f64 x (*.f64 x (-.f64 z y)))) (*.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 x (-.f64 z y)))))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y))))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 (-.f64 z y) (-.f64 z y))))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 (-.f64 z y) (*.f64 x (*.f64 x (-.f64 z y))))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (cbrt.f64 (*.f64 x (*.f64 (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (*.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) (*.f64 x (-.f64 z y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))) (*.f64 (*.f64 x (-.f64 z y)) (cbrt.f64 (*.f64 x (-.f64 z y)))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))) (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x (pow.f64 (-.f64 z y) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) (*.f64 (-.f64 z y) (-.f64 z y)))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1/2 binary64)) (*.f64 x (-.f64 z y))))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y)))))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (-.f64 z y))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y))) x)
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 x (-.f64 z y)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 x (-.f64 z y)) (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))) (cbrt.f64 (*.f64 x (-.f64 z y))))
(*.f64 (*.f64 x (-.f64 z y)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 z y)))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 z y)) (-.f64 z y))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) #s(literal 1 binary64)) (-.f64 z y))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 (-.f64 z y) (-.f64 z y)))) (cbrt.f64 (-.f64 z y)))
(*.f64 (*.f64 (-.f64 z y) (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z y))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (+.f64 (*.f64 z (*.f64 z z)) (neg.f64 (*.f64 y (*.f64 y y))))) (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 z y)))
(*.f64 (*.f64 (-.f64 z y) (*.f64 x x)) (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y z (fma.f64 y y (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 z y))) (-.f64 (*.f64 z z) (*.f64 y y))) (+.f64 z y))
(*.f64 (*.f64 (-.f64 z y) (*.f64 x x)) (/.f64 (-.f64 (*.f64 z z) (*.f64 y y)) (+.f64 y z)))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 6 binary64)))
(sqrt.f64 (*.f64 x (*.f64 (*.f64 (-.f64 z y) (*.f64 x (-.f64 z y))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(cbrt.f64 (*.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x (-.f64 z y)))))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 z y))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x (-.f64 z y)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))

eval389.0ms (5.2%)

Compiler

Compiled 39707 to 10838 computations (72.7% saved)

prune245.0ms (3.3%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New118721189
Fresh000
Picked145
Done055
Total1188111199
Accuracy
100.0%
Counts
1199 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(-.f64 y (*.f64 y x))
100.0%
(+.f64 (*.f64 x (-.f64 z y)) y)
73.2%
(+.f64 (*.f64 x z) y)
24.8%
(*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)))
69.5%
(*.f64 z (+.f64 x (/.f64 y z)))
87.8%
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))
87.6%
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
67.8%
(*.f64 x (-.f64 z y))
30.5%
(*.f64 x (neg.f64 y))
41.4%
(*.f64 x z)
34.1%
y
Compiler

Compiled 113 to 67 computations (40.7% saved)

localize131.0ms (1.7%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))
99.6%
(*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))
84.1%
(-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y))
53.6%
(*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)))
100.0%
(+.f64 x (/.f64 y z))
88.6%
(*.f64 z (+.f64 x (/.f64 y z)))
Results
45.0ms222×256valid
7.0ms34×256infinite
Compiler

Compiled 96 to 22 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 13.0ms (49.4% of total)
ival-mult: 9.0ms (34.2% of total)
ival-sub: 3.0ms (11.4% of total)
ival-add: 1.0ms (3.8% of total)
const: 1.0ms (3.8% of total)

series28.0ms (0.4%)

Counts
4 → 129
Calls
Call 1
Inputs
#<alt (*.f64 z (+.f64 x (/.f64 y z)))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))>
Outputs
#<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 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 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 (/.f64 y z)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt x>
#<alt (/.f64 y z)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))>
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Calls

36 calls:

TimeVariablePointExpression
8.0ms
y
@0
(* (- (* (* x (- z y)) (* x (- z y))) (* y y)) (/ (/ 1 x) (- z y)))
1.0ms
y
@inf
(* (- (* (* x (- z y)) (* x (- z y))) (* y y)) (/ (/ 1 x) (- z y)))
1.0ms
z
@inf
(* (- (* (* x (- z y)) (* x (- z y))) (* y y)) (/ (/ 1 x) (- z y)))
1.0ms
z
@0
(* (- (* (* x (- z y)) (* x (- z y))) (* y y)) (/ (/ 1 x) (- z y)))
1.0ms
z
@-inf
(* (- (* (* x (- z y)) (* x (- z y))) (* y y)) (/ (/ 1 x) (- z y)))

rewrite208.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1256×log1p-expm1-u
314×expm1-log1p-u
167×add-cube-cbrt
166×add-exp-log
166×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021157
1364151
25793151
Stop Event
node limit
Counts
4 → 200
Calls
Call 1
Inputs
(*.f64 z (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 y z))
(*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))
Outputs
(+.f64 (*.f64 z x) (*.f64 z (/.f64 y z)))
(+.f64 (*.f64 z (/.f64 y z)) (*.f64 z x))
(+.f64 (*.f64 (*.f64 z x) #s(literal 1 binary64)) (*.f64 (*.f64 z (/.f64 y z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z))))) #s(literal 1 binary64))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 (+.f64 x (/.f64 y z)) z)
(*.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) z))
(*.f64 (cbrt.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z)))) (cbrt.f64 (*.f64 z (*.f64 (+.f64 x (/.f64 y z)) (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z)))))))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 (+.f64 x (/.f64 y z)) (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z)))))) (cbrt.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z)))))
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (+.f64 x (/.f64 y z))))
(*.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 1/2 binary64)) z))
(*.f64 (pow.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (+.f64 x (/.f64 y z))))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x (/.f64 y z))))
(*.f64 (*.f64 z (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 x (/.f64 y z)) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
(*.f64 (*.f64 (+.f64 x (/.f64 y z)) (pow.f64 z #s(literal 1/2 binary64))) (pow.f64 z #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 y z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (-.f64 (*.f64 (*.f64 z (/.f64 y z)) (*.f64 z (/.f64 y z))) (*.f64 (*.f64 z x) (*.f64 z (/.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 (*.f64 z (/.f64 y z)) (*.f64 z (/.f64 y z)))) (-.f64 (*.f64 z x) (*.f64 z (/.f64 y z))))
(/.f64 (*.f64 z (+.f64 (*.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 y z))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 (/.f64 y z) (/.f64 y z)))) (-.f64 x (/.f64 y z)))
(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 y z))) (*.f64 x (*.f64 x x))) z) (+.f64 (*.f64 x x) (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 y z) (/.f64 y z))) z) (-.f64 x (/.f64 y z)))
(pow.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z))) (*.f64 z (*.f64 (+.f64 x (/.f64 y z)) (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z)))))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (*.f64 (+.f64 x (/.f64 y z)) (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z))))))
(log.f64 (exp.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z))))))
(cbrt.f64 (*.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z))) (*.f64 z (*.f64 (+.f64 x (/.f64 y z)) (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z)))))))
(cbrt.f64 (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z)))))
(exp.f64 (log.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 z x) (*.f64 z (/.f64 y z)))) #s(literal 1 binary64)))
(fma.f64 z x (*.f64 z (/.f64 y z)))
(fma.f64 x z (*.f64 z (/.f64 y z)))
(+.f64 x (/.f64 y z))
(+.f64 (/.f64 y z) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y z))) (/.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (-.f64 x (/.f64 y z))))
(*.f64 (+.f64 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y z)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (/.f64 y z))))
(*.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (*.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 y z))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x)))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 y z) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))) (+.f64 (*.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 y z))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 y z) (/.f64 y z)))))
(/.f64 (+.f64 (*.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 y z))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (*.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 y z))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (-.f64 (*.f64 x x) (/.f64 (*.f64 x y) z))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 y z) (/.f64 y z))) (-.f64 x (/.f64 y z)))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 y z))) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 y z) (/.f64 y z)))) (neg.f64 (-.f64 x (/.f64 y z))))
(/.f64 (-.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (*.f64 x x)) (-.f64 (/.f64 y z) x))
(pow.f64 (+.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (*.f64 (+.f64 x (/.f64 y z)) (-.f64 (*.f64 x x) (*.f64 (/.f64 y z) (/.f64 y z)))) (-.f64 x (/.f64 y z))))
(log.f64 (exp.f64 (+.f64 x (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (+.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 y z))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) x)
(fma.f64 (cbrt.f64 (*.f64 (/.f64 y z) (/.f64 y z))) (cbrt.f64 (/.f64 y z)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 y z))
(fma.f64 (pow.f64 (/.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y z))
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y y))))
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(+.f64 (*.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y))))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)))) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))) (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)))) (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y)))) (cbrt.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y))))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y))))) (cbrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y)))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y))))
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y (*.f64 x (-.f64 z y))) (*.f64 (-.f64 (*.f64 x (-.f64 z y)) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (cbrt.f64 (*.f64 (-.f64 z y) (-.f64 z y)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (-.f64 z y))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) (cbrt.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y))))) (cbrt.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y))))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) (+.f64 y (*.f64 x (-.f64 z y)))) (-.f64 (*.f64 x (-.f64 z y)) y))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) x) (-.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 z z) (*.f64 y (+.f64 z y))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) x) (-.f64 (*.f64 z z) (*.f64 y y))) (+.f64 z y))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) (*.f64 x (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) x) (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (-.f64 z y)) (+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) x) (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)))) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)) (*.f64 y y))))))
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(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (-.f64 z y)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (-.f64 z y)))) #s(literal 1 binary64)))

simplify138.0ms (1.8%)

Algorithm
egg-herbie
Rules
570×associate-*r*
554×associate-*l*
391×fma-define
328×distribute-lft-in
326×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082325018
1260021423
Stop Event
node limit
Counts
329 → 351
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(*.f64 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 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)))))
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)))
(*.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)))))
(*.f64 x z)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(+.f64 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))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(/.f64 y z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
x
(/.f64 y z)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 y z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
x
x
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (-.f64 z y))))
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(*.f64 x z)
(*.f64 z (-.f64 (+.f64 x (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x y) z))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
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(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x y) z))) (/.f64 (*.f64 x y) z))))
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(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) x))))
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(/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)))) (cbrt.f64 (*.f64 x (-.f64 z y))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (*.f64 (-.f64 z y) (-.f64 z y)))) (cbrt.f64 (-.f64 z y)))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))) #s(literal 3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x))) (*.f64 x (-.f64 z y))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 z y))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 z y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)))))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x))) (*.f64 x (-.f64 z y))))
(cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (-.f64 z y)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (-.f64 z y)))) #s(literal 1 binary64)))
Outputs
y
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
(*.f64 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 y z)))))
(*.f64 z (neg.f64 (-.f64 (neg.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 (neg.f64 (-.f64 (neg.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 (neg.f64 (-.f64 (neg.f64 x) (/.f64 y z))))
y
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
(+.f64 y (*.f64 x z))
(fma.f64 x z 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 x (+.f64 z (/.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 x (+.f64 z (/.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 x (+.f64 z (/.f64 y x)))
(*.f64 x z)
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x 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 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x 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 y (neg.f64 (fma.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 y (neg.f64 (fma.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 y (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y) #s(literal -1 binary64))))
(/.f64 y z)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64)))
x
(/.f64 y z)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(/.f64 y z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/.f64 (fma.f64 x z y) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/.f64 (fma.f64 x z y) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/.f64 (fma.f64 x z y) z)
x
x
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (-.f64 z y))))
(/.f64 (*.f64 y y) (*.f64 (neg.f64 x) (-.f64 z y)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z y))) x)
(/.f64 (-.f64 (*.f64 x (*.f64 x (-.f64 z y))) (/.f64 (*.f64 y y) (-.f64 z y))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z y))) x)
(/.f64 (-.f64 (*.f64 x (*.f64 x (-.f64 z y))) (/.f64 (*.f64 y y) (-.f64 z y))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z y))) x)
(/.f64 (-.f64 (*.f64 x (*.f64 x (-.f64 z y))) (/.f64 (*.f64 y y) (-.f64 z y))) x)
(*.f64 x (-.f64 z y))
(*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z y))))) y))
(*.f64 x (-.f64 (-.f64 z (*.f64 (/.f64 y (-.f64 z y)) (/.f64 y (*.f64 x x)))) y))
(*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z y))))) y))
(*.f64 x (-.f64 (-.f64 z (*.f64 (/.f64 y (-.f64 z y)) (/.f64 y (*.f64 x x)))) y))
(*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z y))))) y))
(*.f64 x (-.f64 (-.f64 z (*.f64 (/.f64 y (-.f64 z y)) (/.f64 y (*.f64 x x)))) y))
(*.f64 x (-.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z y))))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 y (-.f64 z y)) (/.f64 y (*.f64 x x))) (-.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z y))))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 y (-.f64 z y)) (/.f64 y (*.f64 x x))) (-.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 z y))))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 y (-.f64 z y)) (/.f64 y (*.f64 x x))) (-.f64 z y)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y)))
(/.f64 (fma.f64 (*.f64 y y) (*.f64 x x) (neg.f64 (*.f64 y y))) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y))) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) x)))
(fma.f64 z (fma.f64 x #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (fma.f64 (*.f64 y y) (*.f64 x x) (neg.f64 (*.f64 y y))) (*.f64 y (neg.f64 x))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y))) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) x) y)))) (/.f64 #s(literal 1 binary64) x))) x)))
(fma.f64 z (-.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 z (+.f64 (/.f64 x (neg.f64 y)) (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) y)) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 (fma.f64 (*.f64 y y) (*.f64 x x) (neg.f64 (*.f64 y y))) (*.f64 y (neg.f64 x))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (*.f64 x y))) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) x) y)))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) x) y)))) (/.f64 #s(literal 1 binary64) x))) x)))
(fma.f64 z (-.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 z (+.f64 (/.f64 x (neg.f64 y)) (fma.f64 z (/.f64 (+.f64 (/.f64 x (neg.f64 y)) (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) y)) y) (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) y))) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 (fma.f64 (*.f64 y y) (*.f64 x x) (neg.f64 (*.f64 y y))) (*.f64 y (neg.f64 x))))
(*.f64 x z)
(*.f64 z (-.f64 (+.f64 x (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x y) z))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 x (*.f64 x (/.f64 (neg.f64 y) z))))
(*.f64 z (-.f64 (+.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x y) z)) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 z (-.f64 (+.f64 (+.f64 x (fma.f64 x (*.f64 (/.f64 y z) (/.f64 y z)) (*.f64 x (*.f64 (/.f64 y z) #s(literal -2 binary64))))) (*.f64 x (/.f64 y z))) (+.f64 (*.f64 x (*.f64 (/.f64 y z) (/.f64 y z))) (/.f64 (*.f64 y y) (*.f64 z (*.f64 x z))))))
(*.f64 z (-.f64 (+.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x y) z)) (+.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 y (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))) (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 z (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x (/.f64 y z)) x) (fma.f64 y (/.f64 (-.f64 (*.f64 y (*.f64 y x)) (fma.f64 y (*.f64 y x) (/.f64 (*.f64 y y) x))) (pow.f64 z #s(literal 3 binary64))) (*.f64 x (*.f64 (/.f64 y z) (/.f64 y z))))) (*.f64 x (/.f64 y z))) (+.f64 (*.f64 x (*.f64 (/.f64 y z) (/.f64 y z))) (/.f64 (*.f64 y y) (*.f64 z (*.f64 x z))))))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x y) z))) (/.f64 (*.f64 x y) z))))
(*.f64 (neg.f64 z) (+.f64 (neg.f64 x) (*.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 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 x y))) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)) (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 x y))) z) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x z)))) z)))))
(*.f64 (neg.f64 z) (-.f64 (neg.f64 x) (/.f64 (-.f64 (-.f64 (*.f64 x (/.f64 (*.f64 y y) z)) (*.f64 y x)) (fma.f64 y (*.f64 x (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 x z)))) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 x y))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 x y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x y)) (*.f64 x y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))) z))) z))) z)))))
(*.f64 (neg.f64 z) (-.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 y (neg.f64 x)) (/.f64 (-.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y x)) (fma.f64 y (*.f64 y x) (/.f64 (*.f64 y y) x)))) (*.f64 y (/.f64 (-.f64 (*.f64 y (*.f64 y x)) (fma.f64 y (*.f64 y x) (/.f64 (*.f64 y y) x))) z))) z)) z)))
(*.f64 x z)
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 z z) (*.f64 y (+.f64 z y))))
(*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 z z) (*.f64 y y))) (+.f64 z y))
(*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (*.f64 x (-.f64 z y)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 z y))))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (-.f64 z y))))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 z y) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 z y))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64))) (pow.f64 (-.f64 z y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x)))) (cbrt.f64 (*.f64 x (-.f64 z y))))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 z y))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (*.f64 (-.f64 z y) (-.f64 z y)))) (cbrt.f64 (-.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (*.f64 (-.f64 z y) (-.f64 z y)))))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x))) (*.f64 x (-.f64 z y))) #s(literal 1/3 binary64))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64))))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 z y))))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y)))))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 z y) (-.f64 z y)) (*.f64 x x))) (*.f64 x (-.f64 z y))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))))
(cbrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 (-.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y))))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (-.f64 z y)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (-.f64 z y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))

eval407.0ms (5.4%)

Compiler

Compiled 25938 to 6658 computations (74.3% saved)

prune109.0ms (1.5%)

Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New8610861
Fresh000
Picked022
Done099
Total86111872
Accuracy
100.0%
Counts
872 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(-.f64 y (*.f64 y x))
100.0%
(+.f64 (*.f64 x (-.f64 z y)) y)
73.2%
(+.f64 (*.f64 x z) y)
24.8%
(*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)))
69.5%
(*.f64 z (+.f64 x (/.f64 y z)))
87.8%
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))
87.6%
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
67.8%
(*.f64 x (-.f64 z y))
30.5%
(*.f64 x (neg.f64 y))
41.4%
(*.f64 x z)
34.1%
y
Compiler

Compiled 249 to 111 computations (55.4% saved)

regimes21.0ms (0.3%)

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

4 calls:

6.0ms
y
5.0ms
z
5.0ms
x
4.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
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)

regimes171.0ms (2.3%)

Counts
14 → 1
Calls
Call 1
Inputs
y
(*.f64 x z)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 z y))
(+.f64 y (*.f64 x z))
(+.f64 (*.f64 x z) y)
(-.f64 y (*.f64 y x))
(*.f64 z (+.f64 x (/.f64 y z)))
(+.f64 (*.f64 x (-.f64 z y)) y)
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))
(*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 z y)))
(*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 z y)) y)))
Outputs
(+.f64 (*.f64 x (-.f64 z y)) y)
Calls

4 calls:

153.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
8.0ms
y
4.0ms
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)

regimes32.0ms (0.4%)

Counts
8 → 3
Calls
Call 1
Inputs
y
(*.f64 x z)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 z y))
(+.f64 y (*.f64 x z))
(+.f64 (*.f64 x z) y)
(-.f64 y (*.f64 y x))
(*.f64 z (+.f64 x (/.f64 y z)))
Outputs
(*.f64 x (-.f64 z y))
(+.f64 y (*.f64 x z))
(*.f64 x (-.f64 z y))
Calls

3 calls:

16.0ms
z
8.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
99.2%3x
88.3%3y
92.1%6z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.2%)

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

2 calls:

11.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
69.5%2y
87.9%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes18.0ms (0.2%)

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

3 calls:

7.0ms
x
7.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
60.9%7y
63.5%5z
68.2%4x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
61.6%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
y
Outputs
y
Calls

3 calls:

0.0ms
y
0.0ms
x
0.0ms
z
Results
AccuracySegmentsBranch
34.1%1y
34.1%1z
34.1%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch40.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
6.243763938097224e-24
1.1507106339679524e-13
17.0ms
-215.83280885025272
-0.010065482915400393
Results
26.0ms288×0valid
Compiler

Compiled 342 to 229 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (61% of total)
ival-sub: 2.0ms (24.4% of total)
ival-add: 1.0ms (12.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch109.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.4424914572051958e-91
4.924514806011256e-83
88.0ms
-7.37153908380075e-95
-4.631294940505088e-103
Results
97.0ms288×0valid
Compiler

Compiled 270 to 193 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (47.8% of total)
ival-sub: 2.0ms (23.9% of total)
ival-add: 1.0ms (11.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch57.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.4424914572051958e-91
4.924514806011256e-83
17.0ms
-5.071126448002767e-18
-2.94344140115103e-24
17.0ms
-2.5754283346044245e+76
-1.3150786099388504e+72
Results
33.0ms375×0valid
4.0ms41×0infinite
Compiler

Compiled 354 to 263 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 9.0ms (63.6% of total)
ival-sub: 3.0ms (21.2% of total)
ival-add: 2.0ms (14.1% of total)
const: 1.0ms (7.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
1.4424914572051958e-91
4.924514806011256e-83
18.0ms
-5.071126448002767e-18
-2.94344140115103e-24
Results
32.0ms288×0valid
Compiler

Compiled 234 to 175 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (55.1% of total)
ival-sub: 2.0ms (22% of total)
ival-add: 1.0ms (11% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
if-if-or-not
*-commutative
+-commutative
sub-neg
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049319
174319
283319
389319
492319
593319
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x (-.f64 z y)) y)
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 4555619344570199/39614081257132168796771975168 binary64)) (+.f64 y (*.f64 x z)) (*.f64 x (-.f64 z y))))
(if (<=.f64 x #s(literal -7141613623096499/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 6288345833751159/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) y (*.f64 x (-.f64 z y))))
(if (<=.f64 x #s(literal -13000000000000000250220688488498292662086011053465034426066648794239336448 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal -8677200356483931/85070591730234615865843651857942052864 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 1401207495564117/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) y (*.f64 x z))))
(if (<=.f64 x #s(literal -5954941421116423/170141183460469231731687303715884105728 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 6151642663452221/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) y (*.f64 x z)))
y
Outputs
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x (-.f64 z y)) y)
(+.f64 y (*.f64 x (-.f64 z y)))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 4555619344570199/39614081257132168796771975168 binary64)) (+.f64 y (*.f64 x z)) (*.f64 x (-.f64 z y))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 4555619344570199/39614081257132168796771975168 binary64)))) (*.f64 x (-.f64 z y)) (+.f64 y (*.f64 x z)))
(if (<=.f64 x #s(literal -7141613623096499/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 6288345833751159/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) y (*.f64 x (-.f64 z y))))
(if (or (<=.f64 x #s(literal -7141613623096499/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (not (<=.f64 x #s(literal 6288345833751159/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)))) (*.f64 x (-.f64 z y)) y)
(if (<=.f64 x #s(literal -13000000000000000250220688488498292662086011053465034426066648794239336448 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal -8677200356483931/85070591730234615865843651857942052864 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 1401207495564117/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) y (*.f64 x z))))
(if (<=.f64 x #s(literal -13000000000000000250220688488498292662086011053465034426066648794239336448 binary64)) (*.f64 x (neg.f64 y)) (if (or (<=.f64 x #s(literal -8677200356483931/85070591730234615865843651857942052864 binary64)) (not (<=.f64 x #s(literal 1401207495564117/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)))) (*.f64 x z) y))
(if (<=.f64 x #s(literal -5954941421116423/170141183460469231731687303715884105728 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 6151642663452221/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) y (*.f64 x z)))
(if (or (<=.f64 x #s(literal -5954941421116423/170141183460469231731687303715884105728 binary64)) (not (<=.f64 x #s(literal 6151642663452221/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)))) (*.f64 x z) y)
y

soundness785.0ms (10.5%)

Rules
1182×fma-neg
767×log1p-expm1-u
767×expm1-log1p-u
668×fma-neg
584×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054616350
1150114415
2590814150
040399
1102387
2236379
3682351
41707339
52872337
63242337
73282337
83286337
93286317
103929317
113929317
01779
122779
2319679
Stop Event
done
node limit
saturated
node limit
Compiler

Compiled 226 to 95 computations (58% saved)

preprocess121.0ms (1.6%)

Compiler

Compiled 214 to 112 computations (47.7% saved)

end0.0ms (0%)

Profiling

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