Linear.V2:$cdot from linear-1.19.1.3, A

Time bar (total: 3.0s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 12 to 8 computations (33.3% saved)

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

sample1.2s (39.7%)

Results
804.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 377.0ms
ival-mult: 277.0ms (73.5% of total)
ival-add: 90.0ms (23.9% of total)
const: 7.0ms (1.9% of total)
backward-pass: 2.0ms (0.5% of total)
Bogosity

preprocess80.0ms (2.6%)

Algorithm
egg-herbie
Rules
226×fma-define
118×fma-neg
68×unsub-neg
50×associate-*r*
43×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045464
196464
2170464
3374464
4603464
5813464
6968464
7990464
8994464
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 z t))
(+.f64 (*.f64 x y) (*.f64 z t))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 z t))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 z t))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) t))
(+.f64 (*.f64 x y) (*.f64 z (neg.f64 t)))
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 z t)))
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 z t)))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (neg.f64 z) t)))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 z (neg.f64 t))))
(+.f64 (*.f64 y x) (*.f64 z t))
(+.f64 (*.f64 z y) (*.f64 x t))
(+.f64 (*.f64 t y) (*.f64 z x))
(+.f64 (*.f64 x z) (*.f64 y t))
(+.f64 (*.f64 x t) (*.f64 z y))
(+.f64 (*.f64 x y) (*.f64 t z))
Outputs
(+.f64 (*.f64 x y) (*.f64 z t))
(fma.f64 x y (*.f64 z t))
(+.f64 (*.f64 x y) (*.f64 z t))
(fma.f64 x y (*.f64 z t))
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 z t))
(fma.f64 x (neg.f64 y) (*.f64 z t))
(-.f64 (*.f64 z t) (*.f64 x y))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 z t))
(fma.f64 x (neg.f64 y) (*.f64 z t))
(-.f64 (*.f64 z t) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) t))
(fma.f64 x y (*.f64 z (neg.f64 t)))
(-.f64 (*.f64 x y) (*.f64 z t))
(+.f64 (*.f64 x y) (*.f64 z (neg.f64 t)))
(fma.f64 x y (*.f64 z (neg.f64 t)))
(-.f64 (*.f64 x y) (*.f64 z t))
(neg.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 z t)))
(fma.f64 x y (*.f64 z (neg.f64 t)))
(-.f64 (*.f64 x y) (*.f64 z t))
(neg.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 z t)))
(fma.f64 x y (*.f64 z (neg.f64 t)))
(-.f64 (*.f64 x y) (*.f64 z t))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 (neg.f64 z) t)))
(fma.f64 x (neg.f64 y) (*.f64 z t))
(-.f64 (*.f64 z t) (*.f64 x y))
(neg.f64 (+.f64 (*.f64 x y) (*.f64 z (neg.f64 t))))
(fma.f64 x (neg.f64 y) (*.f64 z t))
(-.f64 (*.f64 z t) (*.f64 x y))
(+.f64 (*.f64 y x) (*.f64 z t))
(fma.f64 x y (*.f64 z t))
(+.f64 (*.f64 z y) (*.f64 x t))
(fma.f64 x t (*.f64 y z))
(+.f64 (*.f64 t y) (*.f64 z x))
(fma.f64 t y (*.f64 x z))
(fma.f64 y t (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 y t))
(fma.f64 t y (*.f64 x z))
(fma.f64 y t (*.f64 x z))
(+.f64 (*.f64 x t) (*.f64 z y))
(fma.f64 x t (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 t z))
(fma.f64 x y (*.f64 z t))
Symmetry

(sort x y)

(sort z t)

explain63.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x y)
00-0-x
00-0-z
00-0-(*.f64 z t)
00-0-(+.f64 (*.f64 x y) (*.f64 z t))
00-0-t
00-0-y
Results
37.0ms512×0valid
Compiler

Compiled 55 to 23 computations (58.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (68.2% of total)
ival-add: 3.0ms (25.6% of total)
const: 1.0ms (8.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

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

Compiled 21 to 13 computations (38.1% saved)

localize45.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z t)
cost-diff0
(fma.f64 x y (*.f64 z t))
cost-diff-6272
(+.f64 (*.f64 x y) (*.f64 z t))
cost-diff0
(*.f64 z t)
cost-diff0
(*.f64 x y)
accuracy100.0%
(fma.f64 x y (*.f64 z t))
accuracy100.0%
(*.f64 z t)
accuracy100.0%
(*.f64 z t)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(+.f64 (*.f64 x y) (*.f64 z t))
Rules
fma-define
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016125
119125
222125
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t
(fma.f64 x y (*.f64 z t))
x
y
(*.f64 z t)
z
t
Outputs
(+.f64 (*.f64 x y) (*.f64 z t))
(fma.f64 x y (*.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t
(fma.f64 x y (*.f64 z t))
x
y
(*.f64 z t)
z
t
Results
26.0ms256×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (45.3% of total)
ival-fma: 3.0ms (34% of total)
ival-add: 1.0ms (11.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.4%)

Counts
4 → 120
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x y) (*.f64 z t))>
#<alt (*.f64 x y)>
#<alt (*.f64 z t)>
#<alt (fma.f64 x y (*.f64 z t))>
Outputs
#<alt (*.f64 t z)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 t z)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 t z)>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 t z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 t z)>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (*.f64 t z)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 t z)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 t z)>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 t z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 t z)>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
Calls

36 calls:

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

rewrite456.0ms (15.1%)

Algorithm
batch-egg-rewrite
Rules
739×log1p-expm1-u
739×expm1-log1p-u
711×unpow-prod-down
396×log-prod
314×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01680
116280
2202880
Stop Event
node limit
Counts
4 → 187
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 z t))
(*.f64 x y)
(*.f64 z t)
(fma.f64 x y (*.f64 z t))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z t))))
(*.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(*.f64 (fma.f64 x y (*.f64 z t)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z t)))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 z t))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) (sqrt.f64 (fma.f64 x y (*.f64 z t))))
(*.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z t))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z t))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z t))))
(/.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z t) (*.f64 x y)))
(pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 z t)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 t) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 t) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 z t))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 z t))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 z t))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))

simplify295.0ms (9.8%)

Algorithm
egg-herbie
Rules
395×distribute-lft-in
376×prod-exp
350×distribute-rgt-in
338×times-frac
334×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034510943
175810667
2225610599
3731210527
Stop Event
node limit
Counts
307 → 167
Calls
Call 1
Inputs
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 x y)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 t z)
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 t z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x y)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 t z)
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t z)
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 x y)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 t z)
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 t z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x y)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 t z)
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t z)
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z t))))
(*.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(*.f64 (fma.f64 x y (*.f64 z t)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z t)))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 z t))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) (sqrt.f64 (fma.f64 x y (*.f64 z t))))
(*.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z t))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z t))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 z t))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y (*.f64 z t)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x y (*.f64 z t)) (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x y (*.f64 z t)) (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 z t))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z t)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z t))))
(/.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z t) (*.f64 x y)))
(pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 z t)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 t) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 t) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 z t))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 z t))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 z t))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 z t))
(fma.f64 y x (*.f64 z t))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 z t))
(fma.f64 z t (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 (*.f64 z t) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 z t))
(fma.f64 #s(literal 1 binary64) (*.f64 z t) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 z t)) (pow.f64 (cbrt.f64 (*.f64 z t)) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z t)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z t)) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z t))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 z t))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 z t))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) t) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 z t))
(fma.f64 (sqrt.f64 (*.f64 z t)) (sqrt.f64 (*.f64 z t)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 z t))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 z t))
(fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) z) (*.f64 x y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) t) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 z t))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z t))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z t))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z t))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z t))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 t)) (sqrt.f64 t) (*.f64 x y))
(fma.f64 (*.f64 t (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 t (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z t))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z)) (cbrt.f64 (pow.f64 (exp.f64 t) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z t))) #s(literal 1 binary64))
(pow.f64 (*.f64 z t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z t)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 t) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))))
(cbrt.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z t)))
(log1p.f64 (expm1.f64 (*.f64 z t)))
(exp.f64 (log.f64 (*.f64 z t)))
(exp.f64 (*.f64 (log.f64 (*.f64 z t)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z t))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z t))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z t))) #s(literal 2 binary64)))
(+.f64 (*.f64 x y) (*.f64 z t))
(+.f64 (*.f64 z t) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (fma.f64 x y (*.f64 z t)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t)))) (cbrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z t))))
(*.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(*.f64 (fma.f64 x y (*.f64 z t)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z t)))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 z t))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) (sqrt.f64 (fma.f64 x y (*.f64 z t))))
(*.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z t))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z t))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 z t))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y (*.f64 z t)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x y (*.f64 z t)) (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x y (*.f64 z t)) (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 z t))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z t)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z t))))
(/.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z t) (*.f64 x y)))
(pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 z t)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 t) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 t) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (pow.f64 (exp.f64 y) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 z t))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 z t))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 z t))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
Outputs
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (*.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (*.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (*.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 x (+.f64 y (*.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 x (+.f64 y (*.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 x (+.f64 y (*.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
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(fma.f64 t z (*.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(fma.f64 t z (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 t z)))
(/.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y (*.f64 z t))))))
(*.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z t)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 t z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z t))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 t z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z t) (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 t z)))
(pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 1 binary64))
(fma.f64 t z (*.f64 x y))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 3 binary64))
(fma.f64 t z (*.f64 x y))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 t z (*.f64 x y))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) #s(literal 2 binary64))
(fma.f64 t z (*.f64 x y))
(pow.f64 (/.f64 (fma.f64 (*.f64 z t) (-.f64 (*.f64 z t) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 t z)))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 2 binary64)))
(fma.f64 t z (*.f64 x y))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 z t)))))
(fma.f64 t z (*.f64 x y))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(fma.f64 t z (*.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 t) z)))
(fma.f64 t z (*.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t)))))
(fma.f64 t z (*.f64 x y))
(log.f64 (*.f64 (pow.f64 (exp.f64 t) z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(fma.f64 t z (*.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (pow.f64 (exp.f64 y) x)))
(fma.f64 t z (*.f64 x y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z t))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(fma.f64 t z (*.f64 x y))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 z t)) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 z t))))
(fma.f64 t z (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 z t))) #s(literal 1 binary64)))
(fma.f64 t z (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 3 binary64)))
(fma.f64 t z (*.f64 x y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 1/3 binary64)))
(fma.f64 t z (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t)))) #s(literal 2 binary64)))
(fma.f64 t z (*.f64 x y))

eval24.0ms (0.8%)

Compiler

Compiled 2613 to 493 computations (81.1% saved)

prune32.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1863189
Fresh000
Picked112
Done000
Total1874191
Accuracy
100.0%
Counts
191 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 x y) (*.f64 z t))
93.0%
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
51.5%
(*.f64 x y)
51.5%
(*.f64 t z)
Compiler

Compiled 38 to 25 computations (34.2% saved)

localize238.0ms (7.9%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 y (/.f64 (*.f64 t z) x))
cost-diff-6144
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
cost-diff0
(*.f64 t z)
cost-diff0
(/.f64 (*.f64 t z) x)
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 t z)
accuracy100.0%
(*.f64 t z)
accuracy100.0%
(+.f64 y (/.f64 (*.f64 t z) x))
accuracy93.1%
(/.f64 (*.f64 t z) x)
accuracy92.9%
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 t z)
Rules
1087×cube-prod
704×cube-div
631×associate-/l/
631×times-frac
474×pow-sqr
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
016164
127156
246156
372153
493147
5119147
6213147
7530147
82279147
92955147
103471147
113740147
123979147
134370147
145615147
156266147
167085147
177495147
187813147
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 t z)
t
z
(*.f64 x y)
x
y
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
x
(+.f64 y (/.f64 (*.f64 t z) x))
y
(/.f64 (*.f64 t z) x)
(*.f64 t z)
t
z
Outputs
(*.f64 t z)
t
z
(*.f64 x y)
x
y
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (*.f64 t (/.f64 z x))))
(*.f64 x (fma.f64 t (/.f64 z x) y))
(fma.f64 t (*.f64 z #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
x
(+.f64 y (/.f64 (*.f64 t z) x))
(+.f64 y (*.f64 t (/.f64 z x)))
(fma.f64 t (/.f64 z x) y)
(fma.f64 z (/.f64 t x) y)
y
(/.f64 (*.f64 t z) x)
(*.f64 t (/.f64 z x))
(*.f64 z (/.f64 t x))
(*.f64 t z)
t
z
Results
54.0ms256×0valid
Compiler

Compiled 43 to 10 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (60.7% of total)
ival-div: 2.0ms (20.2% of total)
ival-add: 1.0ms (10.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.6%)

Counts
4 → 78
Calls
Call 1
Inputs
#<alt (*.f64 t z)>
#<alt (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))>
#<alt (/.f64 (*.f64 t z) x)>
#<alt (+.f64 y (/.f64 (*.f64 t z) x))>
Outputs
#<alt (*.f64 t z)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))>
#<alt (*.f64 t z)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 t z)>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (*.f64 t z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (+.f64 (*.f64 t z) (*.f64 x y))>
#<alt (*.f64 t z)>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 t z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (/.f64 (*.f64 t z) x)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))>
#<alt y>
#<alt (/.f64 (*.f64 t z) x)>
#<alt (*.f64 t (+.f64 (/.f64 y t) (/.f64 z x)))>
#<alt (*.f64 t (+.f64 (/.f64 y t) (/.f64 z x)))>
#<alt (*.f64 t (+.f64 (/.f64 y t) (/.f64 z x)))>
#<alt (/.f64 (*.f64 t z) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt y>
#<alt (/.f64 (*.f64 t z) x)>
#<alt (*.f64 z (+.f64 (/.f64 t x) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 (/.f64 t x) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 (/.f64 t x) (/.f64 y z)))>
#<alt (/.f64 (*.f64 t z) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (/.f64 (*.f64 t z) x)>
#<alt (/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) x)>
#<alt (/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) x)>
#<alt (/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) x)>
#<alt y>
#<alt y>
Calls

39 calls:

TimeVariablePointExpression
4.0ms
t
@0
(/ (* t z) x)
2.0ms
t
@inf
(* x (+ y (/ (* t z) x)))
1.0ms
x
@-inf
(* x (+ y (/ (* t z) x)))
1.0ms
x
@0
(* x (+ y (/ (* t z) x)))
1.0ms
x
@inf
(* x (+ y (/ (* t z) x)))

rewrite143.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
1055×log1p-expm1-u
1055×expm1-log1p-u
562×log-prod
301×fma-define
170×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015106
119098
2283898
Stop Event
node limit
Counts
4 → 202
Calls
Call 1
Inputs
(*.f64 t z)
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(/.f64 (*.f64 t z) x)
(+.f64 y (/.f64 (*.f64 t z) x))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 t z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) t)) (cbrt.f64 (pow.f64 (exp.f64 z) t)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) t))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) t))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t z))) #s(literal 1 binary64))
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 t z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) t))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t z))))
(cbrt.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 t z)))
(log1p.f64 (expm1.f64 (*.f64 t z)))
(exp.f64 (log.f64 (*.f64 t z)))
(exp.f64 (*.f64 (log.f64 (*.f64 t z)) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 t (*.f64 (/.f64 z x) x)))
(+.f64 (*.f64 t (*.f64 (/.f64 z x) x)) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 t (/.f64 z x) y)))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 t (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 t (/.f64 z x) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 t (/.f64 z x) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 t (/.f64 z x) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 t (/.f64 z x) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 t (/.f64 z x) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 t (/.f64 z x) y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t (*.f64 (/.f64 z x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 t (*.f64 (/.f64 z x) x)) (*.f64 t (*.f64 (/.f64 z x) x))) (*.f64 (*.f64 x y) (*.f64 t (*.f64 (/.f64 z x) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 t (*.f64 (/.f64 z x) x)) (*.f64 t (*.f64 (/.f64 z x) x)))) (-.f64 (*.f64 x y) (*.f64 t (*.f64 (/.f64 z x) x))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 t (/.f64 z x)) (-.f64 (*.f64 t (/.f64 z x)) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64)))) (-.f64 y (*.f64 t (/.f64 z x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 (*.f64 t (/.f64 z x)) (-.f64 (*.f64 t (/.f64 z x)) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64))) x) (-.f64 y (*.f64 t (/.f64 z x))))
(pow.f64 (*.f64 x (fma.f64 t (/.f64 z x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 t (/.f64 z x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 t (/.f64 z x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 t (/.f64 z x) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 t (/.f64 z x) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 t (/.f64 z x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 t (/.f64 z x) y)))))
(log.f64 (*.f64 (exp.f64 (*.f64 t (*.f64 (/.f64 z x) x))) (exp.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 t (/.f64 z x) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 t (/.f64 z x) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 t (/.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 t (/.f64 z x) y))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 t (/.f64 z x) y))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 t (/.f64 z x) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 t (/.f64 z x) y))) #s(literal 1 binary64)))
(fma.f64 t (*.f64 (/.f64 z x) x) (*.f64 x y))
(fma.f64 (*.f64 t z) (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x y))
(fma.f64 x y (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 x (*.f64 t (/.f64 z x)) (*.f64 x y))
(fma.f64 y x (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 t (/.f64 z x)) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (/.f64 z x) x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 t (/.f64 z x))) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 (sqrt.f64 (*.f64 t (/.f64 z x))) (*.f64 (sqrt.f64 (*.f64 t (/.f64 z x))) x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 t (/.f64 z x))) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 t (*.f64 (/.f64 z x) x))) (cbrt.f64 (*.f64 t (*.f64 (/.f64 z x) x)))) (cbrt.f64 (*.f64 t (*.f64 (/.f64 z x) x))) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 (sqrt.f64 (*.f64 t (*.f64 (/.f64 z x) x))) (sqrt.f64 (*.f64 t (*.f64 (/.f64 z x) x))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 t (/.f64 z x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 t (/.f64 z x))) (sqrt.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 t (/.f64 z x)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 t (/.f64 z x)))) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 (*.f64 t (/.f64 z x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 (*.f64 t (/.f64 z x)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 x t) (/.f64 z x) (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 t z)) (/.f64 #s(literal 1 binary64) x) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 t (/.f64 z x))) (*.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 t (/.f64 z x)))) (sqrt.f64 (*.f64 t (/.f64 z x))) (*.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 t (*.f64 (/.f64 z x) x)))
(+.f64 #s(literal 0 binary64) (*.f64 t (/.f64 z x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (/.f64 z x))) (cbrt.f64 (pow.f64 (exp.f64 t) (/.f64 z x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (/.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (/.f64 z x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (/.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t (/.f64 z x)))) #s(literal 1 binary64))
(*.f64 t (/.f64 z x))
(*.f64 z (/.f64 t x))
(*.f64 z (*.f64 t (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 t z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 t (/.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z x)))
(*.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 t (/.f64 z x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) (/.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 t (/.f64 z x))) (sqrt.f64 (*.f64 t (/.f64 z x))))
(*.f64 (sqrt.f64 (*.f64 t z)) (/.f64 (sqrt.f64 (*.f64 t z)) x))
(*.f64 (sqrt.f64 (*.f64 t z)) (*.f64 (sqrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 z x)))
(*.f64 (*.f64 t (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 t z))
(*.f64 (/.f64 z x) t)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 t z) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 t z) (sqrt.f64 x)))
(*.f64 (/.f64 z (sqrt.f64 x)) (/.f64 t (sqrt.f64 x)))
(*.f64 (/.f64 t #s(literal 1 binary64)) (/.f64 z x))
(*.f64 (/.f64 t (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 t (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 t x))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 t (/.f64 z x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 t z)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 t z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 t z)) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 t z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 t z)) (cbrt.f64 x)))
(pow.f64 (*.f64 t (/.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 t (/.f64 z x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 x z) t) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 t z) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 t (neg.f64 z)) x))
(sqrt.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 t) (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 t (/.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 t (/.f64 z x))))
(exp.f64 (log.f64 (*.f64 t (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 t (/.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 t (/.f64 z x) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (*.f64 t (/.f64 z x)))) (/.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64)) (-.f64 y (*.f64 t (/.f64 z x)))))
(*.f64 (fma.f64 t (/.f64 z x) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 z x) y))
(*.f64 (cbrt.f64 (fma.f64 t (/.f64 z x) y)) (pow.f64 (cbrt.f64 (fma.f64 t (/.f64 z x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 t (/.f64 z x) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 t (/.f64 z x) y)))
(*.f64 (sqrt.f64 (fma.f64 t (/.f64 z x) y)) (sqrt.f64 (fma.f64 t (/.f64 z x) y)))
(*.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t (/.f64 z x)) (-.f64 (*.f64 t (/.f64 z x)) y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 t (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 t (/.f64 z x)) (-.f64 (*.f64 t (/.f64 z x)) y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t (/.f64 z x))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 t (/.f64 z x)) (-.f64 (*.f64 t (/.f64 z x)) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 (/.f64 x z) t)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64))) (-.f64 y (*.f64 t (/.f64 z x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 t (/.f64 z x)) (-.f64 (*.f64 t (/.f64 z x)) y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 t (/.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 t (/.f64 z x)) y))
(pow.f64 (fma.f64 t (/.f64 z x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 t (/.f64 z x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 t (/.f64 z x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 t (/.f64 z x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 t (/.f64 z x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 t (/.f64 z x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 t (/.f64 z x) y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 t) (/.f64 z x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 t) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z x)))) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 t (/.f64 z x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 t (/.f64 z x) y)))
(log1p.f64 (expm1.f64 (fma.f64 t (/.f64 z x) y)))
(exp.f64 (log.f64 (fma.f64 t (/.f64 z x) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 t (/.f64 z x) y)) #s(literal 1 binary64)))
(fma.f64 t (/.f64 z x) y)
(fma.f64 z (/.f64 t x) y)
(fma.f64 z (*.f64 t (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (*.f64 t z) (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 t (/.f64 z x)))
(fma.f64 (*.f64 t (/.f64 z x)) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 t (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z x)) y)
(fma.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 t (/.f64 z x))) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) x) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) (/.f64 z x)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 t (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 t (/.f64 z x)))
(fma.f64 (sqrt.f64 (*.f64 t (/.f64 z x))) (sqrt.f64 (*.f64 t (/.f64 z x))) y)
(fma.f64 (sqrt.f64 (*.f64 t z)) (/.f64 (sqrt.f64 (*.f64 t z)) x) y)
(fma.f64 (sqrt.f64 (*.f64 t z)) (*.f64 (sqrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 z x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 t (/.f64 z x)))
(fma.f64 (*.f64 t (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 t z) y)
(fma.f64 (/.f64 z x) t y)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 t z) (cbrt.f64 x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 t z) (sqrt.f64 x)) y)
(fma.f64 (/.f64 z (sqrt.f64 x)) (/.f64 t (sqrt.f64 x)) y)
(fma.f64 (/.f64 t #s(literal 1 binary64)) (/.f64 z x) y)
(fma.f64 (/.f64 t (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) y)
(fma.f64 (/.f64 t (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) y)
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 t x) y)
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 x)) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) x) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 t (/.f64 z x))) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 t z)) (sqrt.f64 x)) y)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 t z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 t z)) x) y)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 t z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 t z)) (cbrt.f64 x)) y)

simplify131.0ms (4.3%)

Algorithm
egg-herbie
Rules
544×cancel-sign-sub-inv
421×distribute-lft-neg-in
387×distribute-rgt-neg-in
322×fma-neg
275×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04809049
111498818
239108818
Stop Event
node limit
Counts
280 → 256
Calls
Call 1
Inputs
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 x y)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 x y)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 t z)
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t z)
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 x y)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 t z)
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 t z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(/.f64 (*.f64 t z) x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))
y
(/.f64 (*.f64 t z) x)
(*.f64 t (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 t (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 t (+.f64 (/.f64 y t) (/.f64 z x)))
(/.f64 (*.f64 t z) x)
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
y
(/.f64 (*.f64 t z) x)
(*.f64 z (+.f64 (/.f64 t x) (/.f64 y z)))
(*.f64 z (+.f64 (/.f64 t x) (/.f64 y z)))
(*.f64 z (+.f64 (/.f64 t x) (/.f64 y z)))
(/.f64 (*.f64 t z) x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(/.f64 (*.f64 t z) x)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) x)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) x)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) x)
y
y
(+.f64 #s(literal 0 binary64) (*.f64 t z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) t)) (cbrt.f64 (pow.f64 (exp.f64 z) t)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) t))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) t))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t z))) #s(literal 1 binary64))
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) x) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) (/.f64 z x)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 t (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 t (/.f64 z x)))
(fma.f64 (sqrt.f64 (*.f64 t (/.f64 z x))) (sqrt.f64 (*.f64 t (/.f64 z x))) y)
(fma.f64 (sqrt.f64 (*.f64 t z)) (/.f64 (sqrt.f64 (*.f64 t z)) x) y)
(fma.f64 (sqrt.f64 (*.f64 t z)) (*.f64 (sqrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 z x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 t (/.f64 z x)))
(fma.f64 (*.f64 t (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 t z) y)
(fma.f64 (/.f64 z x) t y)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 t z) (cbrt.f64 x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 t z) (sqrt.f64 x)) y)
(fma.f64 (/.f64 z (sqrt.f64 x)) (/.f64 t (sqrt.f64 x)) y)
(fma.f64 (/.f64 t #s(literal 1 binary64)) (/.f64 z x) y)
(fma.f64 (/.f64 t (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) y)
(fma.f64 (/.f64 t (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) y)
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 t x) y)
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 x)) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) x) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 t (/.f64 z x))) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 t z)) (sqrt.f64 x)) y)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 t z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 t z)) x) y)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 t z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 t z)) (cbrt.f64 x)) y)
Outputs
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(*.f64 x y)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(fma.f64 t z (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(fma.f64 t z (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(fma.f64 t z (*.f64 x y))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 y (+.f64 x (*.f64 t (/.f64 z y))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 x y)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(*.f64 t z)
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
(*.f64 t (fma.f64 x (/.f64 y t) z))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
(*.f64 t (fma.f64 x (/.f64 y t) z))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
(*.f64 t (fma.f64 x (/.f64 y t) z))
(*.f64 t z)
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
(*.f64 t (fma.f64 x (/.f64 y t) z))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
(*.f64 t (fma.f64 x (/.f64 y t) z))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t)))))
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
(*.f64 t (fma.f64 x (/.f64 y t) z))
(*.f64 x y)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(*.f64 t z)
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(*.f64 z (+.f64 t (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 t (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(*.f64 t z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 t (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 t (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (+.f64 t (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) t))
(/.f64 (*.f64 t z) x)
(*.f64 t (/.f64 z x))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z (*.f64 x y)))))
(*.f64 y (fma.f64 t (/.f64 (/.f64 z x) y) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z (*.f64 x y)))))
(*.f64 y (fma.f64 t (/.f64 (/.f64 z x) y) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z (*.f64 x y)))))
(*.f64 y (fma.f64 t (/.f64 (/.f64 z x) y) #s(literal 1 binary64)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z (*.f64 x y)))))
(*.f64 y (fma.f64 t (/.f64 (/.f64 z x) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z (*.f64 x y)))))
(*.f64 y (fma.f64 t (/.f64 (/.f64 z x) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z (*.f64 x y)))))
(*.f64 y (fma.f64 t (/.f64 (/.f64 z x) y) #s(literal 1 binary64)))
y
(/.f64 (*.f64 t z) x)
(*.f64 t (/.f64 z x))
(*.f64 t (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 t (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 t (+.f64 (/.f64 y t) (/.f64 z x)))
(/.f64 (*.f64 t z) x)
(*.f64 t (/.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 t (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 t (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 t (+.f64 (/.f64 y t) (/.f64 z x)))
y
(/.f64 (*.f64 t z) x)
(*.f64 t (/.f64 z x))
(*.f64 z (+.f64 (/.f64 t x) (/.f64 y z)))
(*.f64 z (+.f64 (/.f64 t x) (/.f64 y z)))
(*.f64 z (+.f64 (/.f64 t x) (/.f64 y z)))
(/.f64 (*.f64 t z) x)
(*.f64 t (/.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 (/.f64 t x) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 (/.f64 t x) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 (/.f64 t x) (/.f64 y z)))
(/.f64 (*.f64 t z) x)
(*.f64 t (/.f64 z x))
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) x)
(/.f64 (fma.f64 t z (*.f64 x y)) x)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) x)
(/.f64 (fma.f64 t z (*.f64 x y)) x)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) x)
(/.f64 (fma.f64 t z (*.f64 x y)) x)
y
y
(+.f64 #s(literal 0 binary64) (*.f64 t z))
(*.f64 t z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) t)) (cbrt.f64 (pow.f64 (exp.f64 z) t)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) t))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) t))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) t))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) t))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) t))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 t z)))
(pow.f64 (*.f64 t z) #s(literal 1 binary64))
(*.f64 t z)
(pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 3 binary64))
(*.f64 t z)
(pow.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 t z)
(pow.f64 (sqrt.f64 (*.f64 t z)) #s(literal 2 binary64))
(*.f64 t z)
(sqrt.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)))
(*.f64 t z)
(log.f64 (pow.f64 (exp.f64 z) t))
(*.f64 t z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t z))))
(*.f64 t z)
(cbrt.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)))
(*.f64 t z)
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 t z)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))
(*.f64 t z)
(expm1.f64 (log1p.f64 (*.f64 t z)))
(log1p.f64 (expm1.f64 (*.f64 t z)))
(*.f64 t z)
(exp.f64 (log.f64 (*.f64 t z)))
(*.f64 t z)
(exp.f64 (*.f64 (log.f64 (*.f64 t z)) #s(literal 1 binary64)))
(*.f64 t z)
(+.f64 (*.f64 x y) (*.f64 t (*.f64 (/.f64 z x) x)))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 t (*.f64 (/.f64 z x) x)) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 t (/.f64 z x) y)))
(fma.f64 t z (*.f64 x y))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 t (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)))
(fma.f64 t z (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 t (/.f64 z x) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 t (/.f64 z x) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 t (/.f64 z x) y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 t z (*.f64 x y)))) (cbrt.f64 (exp.f64 (fma.f64 t z (*.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 t z (*.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 t (/.f64 z x) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 t (/.f64 z x) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 t (/.f64 z x) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 t z (*.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 t (/.f64 z x) y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 t (/.f64 z x) y))))
(expm1.f64 (log1p.f64 (fma.f64 t z (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t (*.f64 (/.f64 z x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 t (*.f64 (/.f64 z x) x)) (*.f64 t (*.f64 (/.f64 z x) x))) (*.f64 (*.f64 x y) (*.f64 t (*.f64 (/.f64 z x) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 t (/.f64 (*.f64 z x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (*.f64 (*.f64 t (/.f64 (*.f64 z x) x)) (-.f64 (*.f64 t (/.f64 (*.f64 z x) x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x) (*.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x) (*.f64 t (*.f64 z (fma.f64 t z (*.f64 y (neg.f64 x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 t (*.f64 (/.f64 z x) x)) (*.f64 t (*.f64 (/.f64 z x) x)))) (-.f64 (*.f64 x y) (*.f64 t (*.f64 (/.f64 z x) x))))
(fma.f64 t z (*.f64 x y))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 t (/.f64 z x)) (-.f64 (*.f64 t (/.f64 z x)) y) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 t (/.f64 z x)) (fma.f64 t (/.f64 z x) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 t (/.f64 z x)) (fma.f64 t (/.f64 z x) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 t (/.f64 z x)) (-.f64 (*.f64 t (/.f64 z x)) y) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 t (/.f64 z x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64))) (-.f64 y (*.f64 t (/.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 t (/.f64 z x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 t (/.f64 z x)) (-.f64 (*.f64 t (/.f64 z x)) y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t (/.f64 z x)) (fma.f64 t (/.f64 z x) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 t (/.f64 z x)) (fma.f64 t (/.f64 z x) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 t (/.f64 z x)) (-.f64 (*.f64 t (/.f64 z x)) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t (/.f64 z x))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64))) (-.f64 y (*.f64 t (/.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 t (/.f64 z x)) y))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 t (/.f64 z x)) (-.f64 (*.f64 t (/.f64 z x)) y) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t (/.f64 z x)) (fma.f64 t (/.f64 z x) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 t (/.f64 z x)) (fma.f64 t (/.f64 z x) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 (/.f64 x z) t)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 y (/.f64 x z)) t))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 y (/.f64 (/.f64 x z) t)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64))) (-.f64 y (*.f64 t (/.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 t (/.f64 z x)) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 t (/.f64 z x)) (-.f64 (*.f64 t (/.f64 z x)) y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t (/.f64 z x)) (fma.f64 t (/.f64 z x) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 t (/.f64 z x)) (fma.f64 t (/.f64 z x) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 t (/.f64 z x)) (-.f64 (*.f64 t (/.f64 z x)) y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 t (/.f64 z x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64))) (-.f64 y (*.f64 t (/.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 t (/.f64 z x)) y))
(/.f64 (-.f64 (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 t (/.f64 z x)) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z x)) #s(literal 2 binary64))) (-.f64 y (*.f64 t (/.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x z) t) #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 t (/.f64 z x)) y))
(pow.f64 (fma.f64 t (/.f64 z x) y) #s(literal 1 binary64))
(fma.f64 t (/.f64 z x) y)
(pow.f64 (cbrt.f64 (fma.f64 t (/.f64 z x) y)) #s(literal 3 binary64))
(fma.f64 t (/.f64 z x) y)
(pow.f64 (pow.f64 (fma.f64 t (/.f64 z x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 t (/.f64 z x) y)
(pow.f64 (sqrt.f64 (fma.f64 t (/.f64 z x) y)) #s(literal 2 binary64))
(fma.f64 t (/.f64 z x) y)
(sqrt.f64 (pow.f64 (fma.f64 t (/.f64 z x) y) #s(literal 2 binary64)))
(fma.f64 t (/.f64 z x) y)
(log.f64 (exp.f64 (fma.f64 t (/.f64 z x) y)))
(fma.f64 t (/.f64 z x) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 t (/.f64 z x) y))))
(fma.f64 t (/.f64 z x) y)
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z x))))))
(fma.f64 t (/.f64 z x) y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 t) (/.f64 z x))))
(fma.f64 t (/.f64 z x) y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z x))))))
(fma.f64 t (/.f64 z x) y)
(log.f64 (*.f64 (pow.f64 (exp.f64 t) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(fma.f64 t (/.f64 z x) y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z x)))) (exp.f64 y)))
(fma.f64 t (/.f64 z x) y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(fma.f64 t (/.f64 z x) y)
(cbrt.f64 (pow.f64 (fma.f64 t (/.f64 z x) y) #s(literal 3 binary64)))
(fma.f64 t (/.f64 z x) y)
(expm1.f64 (log1p.f64 (fma.f64 t (/.f64 z x) y)))
(log1p.f64 (expm1.f64 (fma.f64 t (/.f64 z x) y)))
(fma.f64 t (/.f64 z x) y)
(exp.f64 (log.f64 (fma.f64 t (/.f64 z x) y)))
(fma.f64 t (/.f64 z x) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 t (/.f64 z x) y)) #s(literal 1 binary64)))
(fma.f64 t (/.f64 z x) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 z (/.f64 t x) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 z (*.f64 t (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (*.f64 t z) (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 t (/.f64 z x)))
(fma.f64 t (/.f64 z x) y)
(fma.f64 (*.f64 t (/.f64 z x)) #s(literal 1 binary64) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 t (/.f64 z x)))
(fma.f64 t (/.f64 z x) y)
(fma.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) #s(literal 2 binary64)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 t (/.f64 z x))) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) x) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) (/.f64 z x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 t (/.f64 z x)))
(fma.f64 t (/.f64 z x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 t (/.f64 z x)))
(fma.f64 t (/.f64 z x) y)
(fma.f64 (sqrt.f64 (*.f64 t (/.f64 z x))) (sqrt.f64 (*.f64 t (/.f64 z x))) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (sqrt.f64 (*.f64 t z)) (/.f64 (sqrt.f64 (*.f64 t z)) x) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (sqrt.f64 (*.f64 t z)) (*.f64 (sqrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 z x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 t (/.f64 z x)))
(fma.f64 t (/.f64 z x) y)
(fma.f64 (*.f64 t (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 t z) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 z x) t y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 t z) (cbrt.f64 x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 t z) (sqrt.f64 x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 z (sqrt.f64 x)) (/.f64 t (sqrt.f64 x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 t #s(literal 1 binary64)) (/.f64 z x) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 t (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 t (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 t x) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) x) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 t (/.f64 z x))) y)
(fma.f64 (cbrt.f64 (*.f64 t (/.f64 z x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) y)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 t z)) (sqrt.f64 x)) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 t z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 t z)) x) y)
(fma.f64 t (/.f64 z x) y)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 t z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 t z)) (cbrt.f64 x)) y)
(fma.f64 t (/.f64 z x) y)

eval50.0ms (1.7%)

Compiler

Compiled 4228 to 864 computations (79.6% saved)

prune47.0ms (1.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2960296
Fresh000
Picked033
Done011
Total2964300
Accuracy
100.0%
Counts
300 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 x y) (*.f64 z t))
93.0%
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
51.5%
(*.f64 x y)
51.5%
(*.f64 t z)
Compiler

Compiled 70 to 37 computations (47.1% saved)

regimes17.0ms (0.6%)

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

7 calls:

3.0ms
t
2.0ms
x
2.0ms
z
2.0ms
y
2.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(+.f64 (*.f64 x y) (*.f64 z t))
100.0%1(*.f64 x y)
100.0%1(*.f64 z t)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes16.0ms (0.5%)

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

7 calls:

3.0ms
(*.f64 z t)
3.0ms
y
2.0ms
t
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(+.f64 (*.f64 x y) (*.f64 z t))
100.0%1(*.f64 x y)
100.0%1(*.f64 z t)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes9.0ms (0.3%)

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

5 calls:

2.0ms
x
2.0ms
z
2.0ms
(*.f64 x y)
2.0ms
y
2.0ms
t
Results
AccuracySegmentsBranch
73.4%3x
74.6%3y
74.0%3z
72.5%3t
79.5%3(*.f64 x y)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes5.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 t z)
Outputs
(*.f64 t z)
Calls

4 calls:

1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
t
Results
AccuracySegmentsBranch
51.5%1t
51.5%1x
51.5%1z
51.5%1y
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch25.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.4198918152469943e-43
1.872768298689798e-39
13.0ms
-9.711060536720345e+135
-3.5689795735521865e+124
Results
15.0ms288×0valid
Compiler

Compiled 270 to 211 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59.3% of total)
ival-add: 2.0ms (39.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
026146
135146
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x y (*.f64 z t))
(+.f64 (*.f64 x y) (*.f64 z t))
(if (<=.f64 (*.f64 x y) #s(literal -19000000000000000889615947947515193441579650853544786064850712606402773916250315002454303576168976345207631692233491973553755521024 binary64)) (*.f64 x y) (if (<=.f64 (*.f64 x y) #s(literal 8888474137022155/6129982163463555433433388108601236734474956488734408704 binary64)) (*.f64 t z) (*.f64 x y)))
(*.f64 t z)
Outputs
(fma.f64 x y (*.f64 z t))
(+.f64 (*.f64 x y) (*.f64 z t))
(+.f64 (*.f64 z t) (*.f64 x y))
(if (<=.f64 (*.f64 x y) #s(literal -19000000000000000889615947947515193441579650853544786064850712606402773916250315002454303576168976345207631692233491973553755521024 binary64)) (*.f64 x y) (if (<=.f64 (*.f64 x y) #s(literal 8888474137022155/6129982163463555433433388108601236734474956488734408704 binary64)) (*.f64 t z) (*.f64 x y)))
(if (or (<=.f64 (*.f64 x y) #s(literal -19000000000000000889615947947515193441579650853544786064850712606402773916250315002454303576168976345207631692233491973553755521024 binary64)) (not (<=.f64 (*.f64 x y) #s(literal 8888474137022155/6129982163463555433433388108601236734474956488734408704 binary64)))) (*.f64 x y) (*.f64 z t))
(*.f64 t z)
(*.f64 z t)

soundness65.0ms (2.2%)

Rules
226×fma-define
118×fma-neg
68×unsub-neg
50×associate-*r*
43×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045464
196464
2170464
3374464
4603464
5813464
6968464
7990464
8994464
Stop Event
done
saturated
Compiler

Compiled 56 to 23 computations (58.9% saved)

preprocess42.0ms (1.4%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 260 to 140 computations (46.2% saved)

end0.0ms (0%)

Profiling

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