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

Time bar (total: 3.8s)

analyze831.0ms (21.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
0%0%99.8%0.2%0%0%0%9
0%0%99.8%0.2%0%0%0%10
3.9%3.9%95.9%0.2%0%0%0%11
4.3%4.3%95.5%0.2%0%0%0%12
Compiler

Compiled 9 to 9 computations (0% saved)

sample843.0ms (22.3%)

Samples
501.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 249.0ms
ival-mult: 199.0ms (79.8% of total)
ival-add: 40.0ms (16% of total)
ival-true: 7.0ms (2.8% of total)
ival-assert: 4.0ms (1.6% of total)
Bogosity

preprocess119.0ms (3.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
045464
196464
2170464
3374464
4603464
5810464
6965464
7987464
8991464
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)

explain74.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(+.f64 (*.f64 x y) (*.f64 z t))
00-0-y
00-0-t
00-0-(*.f64 z t)
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x y) (*.f64 z t))nan-rescue20
(*.f64 x y)overflow29
(*.f64 z t)overflow29
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
Compiler

Compiled 60 to 32 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 11.0ms (78.8% of total)
ival-add: 2.0ms (14.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 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
99.2%
(fma.f64 x y (*.f64 z t))
99.2%
(+.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 5 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)
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

localize27.0ms (0.7%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z t)
accuracy99.2%
(fma.f64 x y (*.f64 z t))
accuracy100.0%
(*.f64 z t)
accuracy100.0%
(*.f64 x y)
accuracy99.3%
(+.f64 (*.f64 x y) (*.f64 z t))
Samples
17.0ms256×0valid
Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (77.2% of total)
ival-add: 1.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.3%)

Counts
4 → 120
Calls
Call 1
Inputs
#<alt (*.f64 x y)>
#<alt (*.f64 z t)>
#<alt (+.f64 (*.f64 x y) (*.f64 z t))>
#<alt (fma.f64 x y (*.f64 z t))>
Outputs
#<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)))))>
#<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
x
@inf
(+ (* x y) (* z t))
1.0ms
y
@-inf
(* x y)
0.0ms
x
@inf
(* x y)
0.0ms
x
@-inf
(* x y)
0.0ms
x
@0
(* x y)

rewrite674.0ms (17.8%)

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 x y)
(*.f64 z t)
(+.f64 (*.f64 x y) (*.f64 z t))
(fma.f64 x y (*.f64 z t))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(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)))
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(/.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)))

simplify282.0ms (7.5%)

Algorithm
egg-herbie
Rules
393×distribute-lft-in
376×prod-exp
343×*-commutative
340×distribute-rgt-in
338×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034510943
175810667
2225410599
3731210527
Stop Event
node limit
Counts
307 → 170
Calls
Call 1
Inputs
(*.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)))
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(*.f64 x y)
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(*.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)
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(*.f64 t z)
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(*.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)))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
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(*.f64 x y)
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(*.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)))))
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(+.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 (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)))
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(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) (sqrt.f64 (fma.f64 x y (*.f64 z t))))
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(*.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 (*.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 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))
(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)))))
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eval25.0ms (0.7%)

Compiler

Compiled 2 670 to 513 computations (80.8% saved)

prune77.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1912193
Fresh000
Picked112
Done000
Total1923195
Accuracy
100.0%
Counts
195 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(+.f64 (*.f64 x y) (*.f64 z t))
87.1%
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
48.9%
(*.f64 x y)
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify205.0ms (5.4%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 x (/.f64 (*.f64 t z) y))
cost-diff-6144
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
cost-diff0
(*.f64 t z)
cost-diff0
(/.f64 (*.f64 t z) y)
cost-diff0
(*.f64 x y)
Rules
1 091×cube-prod
705×cube-div
616×times-frac
609×associate-/l/
474×pow-sqr
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
016143
127135
246135
372132
493126
5117126
6211126
7512126
82212126
92885126
103398126
113667126
123906126
134298126
145541126
156193126
167005126
177415126
187733126
197968126
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x y)
x
y
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
y
(+.f64 x (/.f64 (*.f64 t z) y))
x
(/.f64 (*.f64 t z) y)
(*.f64 t z)
t
z
Outputs
(*.f64 x y)
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))
(fma.f64 x y (*.f64 t (*.f64 z #s(literal 1 binary64))))
(fma.f64 x y (*.f64 t z))
(fma.f64 t z (*.f64 x y))
y
(+.f64 x (/.f64 (*.f64 t z) y))
(+.f64 x (*.f64 t (/.f64 z y)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
x
(/.f64 (*.f64 t z) y)
(*.f64 t (/.f64 z y))
(*.f64 z (/.f64 t y))
(*.f64 t z)
t
z

localize27.0ms (0.7%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 t z)
accuracy100.0%
(+.f64 x (/.f64 (*.f64 t z) y))
accuracy92.1%
(/.f64 (*.f64 t z) y)
accuracy87.8%
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
accuracy100.0%
(*.f64 x y)
Samples
19.0ms256×0valid
Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (57.5% of total)
ival-div: 2.0ms (23% of total)
ival-add: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.4%)

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

39 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* y (+ x (/ (* t z) y)))
2.0ms
x
@0
(* y (+ x (/ (* t z) y)))
1.0ms
y
@-inf
(* y (+ x (/ (* t z) y)))
0.0ms
z
@inf
(/ (* t z) y)
0.0ms
y
@inf
(/ (* t z) y)

rewrite137.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
1 055×log1p-expm1-u
1 055×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 → 204
Calls
Call 1
Inputs
(/.f64 (*.f64 t z) y)
(*.f64 t z)
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(+.f64 x (/.f64 (*.f64 t z) y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 t (/.f64 z y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (/.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 t) (/.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (/.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (/.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (/.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t (/.f64 z y)))) #s(literal 1 binary64))
(*.f64 t (/.f64 z y))
(*.f64 z (/.f64 t y))
(*.f64 z (*.f64 t (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 t z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 t (/.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z y)))
(*.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 t (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) (/.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 t (/.f64 z y))) (sqrt.f64 (*.f64 t (/.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 t z)) (/.f64 (sqrt.f64 (*.f64 t z)) y))
(*.f64 (sqrt.f64 (*.f64 t z)) (*.f64 (sqrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 z y)))
(*.f64 (*.f64 t (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 t z))
(*.f64 (/.f64 z y) t)
(*.f64 (/.f64 t #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 t (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 t (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 t y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 t z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 t z) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 t (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 t z)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 t z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 t z)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 t z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 t z)) (cbrt.f64 y)))
(pow.f64 (*.f64 t (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 t (/.f64 z y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 y z) t) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 t z) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 t (neg.f64 z)) y))
(sqrt.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 t) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 t (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 t (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 t (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 t (/.f64 z y))) #s(literal 1 binary64)))
(+.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 y x) (*.f64 t (*.f64 (/.f64 z y) y)))
(+.f64 (*.f64 t (*.f64 (/.f64 z y) y)) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 t (/.f64 z y) x)))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 t (*.f64 (/.f64 z y) y)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 t (/.f64 z y) x))) (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 t (/.f64 z y) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 t (/.f64 z y) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 t (/.f64 z y) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 t (/.f64 z y) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 t (/.f64 z y) x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t (*.f64 (/.f64 z y) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 t (*.f64 (/.f64 z y) y)) (*.f64 t (*.f64 (/.f64 z y) y))) (*.f64 (*.f64 y x) (*.f64 t (*.f64 (/.f64 z y) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 t (*.f64 (/.f64 z y) y)) (*.f64 t (*.f64 (/.f64 z y) y)))) (-.f64 (*.f64 y x) (*.f64 t (*.f64 (/.f64 z y) y))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 t (/.f64 z y)) (fma.f64 t (/.f64 z y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)))) (-.f64 x (*.f64 t (/.f64 z y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 (*.f64 t (/.f64 z y)) (fma.f64 t (/.f64 z y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64))) y) (-.f64 x (*.f64 t (/.f64 z y))))
(pow.f64 (*.f64 y (fma.f64 t (/.f64 z y) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 t (/.f64 z y) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 t (/.f64 z y) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 t (/.f64 z y) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 t (/.f64 z y) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 t (/.f64 z y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 t (/.f64 z y) x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 t (*.f64 (/.f64 z y) y))) (exp.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 t (/.f64 z y) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 t (/.f64 z y) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 t (/.f64 z y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 t (/.f64 z y) x))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 t (/.f64 z y) x))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 t (/.f64 z y) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 t (/.f64 z y) x))) #s(literal 1 binary64)))
(fma.f64 t (*.f64 (/.f64 z y) y) (*.f64 y x))
(fma.f64 (*.f64 t z) (*.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 y x))
(fma.f64 y (*.f64 t (/.f64 z y)) (*.f64 y x))
(fma.f64 y x (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 (*.f64 t (/.f64 z y)) y (*.f64 y x))
(fma.f64 x y (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (/.f64 z y) y)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 t (/.f64 z y))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 (sqrt.f64 (*.f64 t (/.f64 z y))) (*.f64 (sqrt.f64 (*.f64 t (/.f64 z y))) y) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 t (/.f64 z y))) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 (/.f64 z y) y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 t (*.f64 (/.f64 z y) y))) (cbrt.f64 (*.f64 t (*.f64 (/.f64 z y) y)))) (cbrt.f64 (*.f64 t (*.f64 (/.f64 z y) y))) (*.f64 y x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)) (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 (sqrt.f64 (*.f64 t (*.f64 (/.f64 z y) y))) (sqrt.f64 (*.f64 t (*.f64 (/.f64 z y) y))) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 t (/.f64 z y))) (sqrt.f64 y)) (*.f64 (sqrt.f64 (*.f64 t (/.f64 z y))) (sqrt.f64 y)) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 t (/.f64 z y)))) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 t (/.f64 z y)))) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 (*.f64 (*.f64 t (/.f64 z y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 (*.f64 t (/.f64 z y)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 y t) (/.f64 z y) (*.f64 y x))
(fma.f64 (*.f64 y (*.f64 t z)) (/.f64 #s(literal 1 binary64) y) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 t (/.f64 z y))) (*.f64 y x))
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 t (/.f64 z y)))) (sqrt.f64 (*.f64 t (/.f64 z y))) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 t (*.f64 (/.f64 z y) y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 t (*.f64 (/.f64 z y) y)))
(-.f64 x (/.f64 (*.f64 t z) (neg.f64 y)))
(-.f64 x (/.f64 (*.f64 t (neg.f64 z)) y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 t (/.f64 z y) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 t (/.f64 z y)))) (/.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) (-.f64 x (*.f64 t (/.f64 z y)))))
(*.f64 (fma.f64 t (/.f64 z y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 z y) x))
(*.f64 (cbrt.f64 (fma.f64 t (/.f64 z y) x)) (pow.f64 (cbrt.f64 (fma.f64 t (/.f64 z y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 t (/.f64 z y) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 t (/.f64 z y) x)))
(*.f64 (sqrt.f64 (fma.f64 t (/.f64 z y) x)) (sqrt.f64 (fma.f64 t (/.f64 z y) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t (/.f64 z y)) (fma.f64 t (/.f64 z y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 t (/.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 t (/.f64 z y)) (fma.f64 t (/.f64 z y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 t (/.f64 z y))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 t (/.f64 z y)) (fma.f64 t (/.f64 z y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 x (/.f64 (/.f64 y z) t)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64))) (-.f64 x (*.f64 t (/.f64 z y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 t (/.f64 z y)) (fma.f64 t (/.f64 z y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 t (/.f64 z y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 t (/.f64 z y) (neg.f64 x)))
(pow.f64 (fma.f64 t (/.f64 z y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 t (/.f64 z y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 t (/.f64 z y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 t (/.f64 z y) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 t (/.f64 z y) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 t (/.f64 z y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 t (/.f64 z y) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 t) (/.f64 z y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z y)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 t) (/.f64 z y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z y))))))
(cbrt.f64 (pow.f64 (fma.f64 t (/.f64 z y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 t (/.f64 z y) x)))
(log1p.f64 (expm1.f64 (fma.f64 t (/.f64 z y) x)))
(exp.f64 (log.f64 (fma.f64 t (/.f64 z y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 t (/.f64 z y) x)) #s(literal 1 binary64)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(fma.f64 z (*.f64 t (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (*.f64 t z) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (*.f64 t (/.f64 z y)) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 t (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 t (/.f64 z y)))
(fma.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 t (/.f64 z y))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) (/.f64 z y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 t (/.f64 z y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 t (/.f64 z y)))
(fma.f64 (sqrt.f64 (*.f64 t (/.f64 z y))) (sqrt.f64 (*.f64 t (/.f64 z y))) x)
(fma.f64 (sqrt.f64 (*.f64 t z)) (/.f64 (sqrt.f64 (*.f64 t z)) y) x)
(fma.f64 (sqrt.f64 (*.f64 t z)) (*.f64 (sqrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 z y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 t (/.f64 z y)))
(fma.f64 (*.f64 t (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 t z) x)
(fma.f64 (/.f64 z y) t x)
(fma.f64 (/.f64 t #s(literal 1 binary64)) (/.f64 z y) x)
(fma.f64 (/.f64 t (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)) x)
(fma.f64 (/.f64 t (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) x)
(fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)) x)
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 t y) x)
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 t z) (cbrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 t z) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) y) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 t (/.f64 z y))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 t z)) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 t z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 t z)) y) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 t z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 t z)) (cbrt.f64 y)) x)

simplify132.0ms (3.5%)

Algorithm
egg-herbie
Rules
417×distribute-lft-neg-in
382×distribute-rgt-neg-in
323×fmm-def
277×associate-*r*
260×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04849509
111658808
239348808
Stop Event
node limit
Counts
282 → 254
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 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 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 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) y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))
x
(/.f64 (*.f64 t z) y)
(*.f64 t (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 t (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 t (+.f64 (/.f64 x t) (/.f64 z y)))
(/.f64 (*.f64 t z) y)
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
x
(/.f64 (*.f64 t z) y)
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(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 t) (/.f64 z y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 t (/.f64 z y))))))
(cbrt.f64 (pow.f64 (fma.f64 t (/.f64 z y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 t (/.f64 z y) x)))
(log1p.f64 (expm1.f64 (fma.f64 t (/.f64 z y) x)))
(exp.f64 (log.f64 (fma.f64 t (/.f64 z y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 t (/.f64 z y) x)) #s(literal 1 binary64)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(fma.f64 z (*.f64 t (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (*.f64 t z) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (*.f64 t (/.f64 z y)) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 t (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 t (/.f64 z y)))
(fma.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 t (/.f64 z y))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) (/.f64 z y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 t (/.f64 z y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 t (/.f64 z y)))
(fma.f64 (sqrt.f64 (*.f64 t (/.f64 z y))) (sqrt.f64 (*.f64 t (/.f64 z y))) x)
(fma.f64 (sqrt.f64 (*.f64 t z)) (/.f64 (sqrt.f64 (*.f64 t z)) y) x)
(fma.f64 (sqrt.f64 (*.f64 t z)) (*.f64 (sqrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 z y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 t (/.f64 z y)))
(fma.f64 (*.f64 t (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 t z) x)
(fma.f64 (/.f64 z y) t x)
(fma.f64 (/.f64 t #s(literal 1 binary64)) (/.f64 z y) x)
(fma.f64 (/.f64 t (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)) x)
(fma.f64 (/.f64 t (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) x)
(fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)) x)
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 t y) x)
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 t z) (cbrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 t z) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) y) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 t (/.f64 z y))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 t z)) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 t z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 t z)) y) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 t z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 t z)) (cbrt.f64 y)) x)
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 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(fma.f64 t z (*.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)))))
(fma.f64 t z (*.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)))))
(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 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 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 (fma.f64 x (/.f64 y t) z))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (fma.f64 x (/.f64 y t) z))
(*.f64 t (+.f64 z (/.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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) y)
(*.f64 t (/.f64 z y))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z (*.f64 x y)))))
(*.f64 x (fma.f64 t (/.f64 z (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z (*.f64 x y)))))
(*.f64 x (fma.f64 t (/.f64 z (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z (*.f64 x y)))))
(*.f64 x (fma.f64 t (/.f64 z (*.f64 x y)) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z (*.f64 x y)))))
(*.f64 x (fma.f64 t (/.f64 z (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z (*.f64 x y)))))
(*.f64 x (fma.f64 t (/.f64 z (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) (*.f64 x y))) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z (*.f64 x y)))))
(*.f64 x (fma.f64 t (/.f64 z (*.f64 x y)) #s(literal 1 binary64)))
x
(/.f64 (*.f64 t z) y)
(*.f64 t (/.f64 z y))
(*.f64 t (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 t (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 t (+.f64 (/.f64 x t) (/.f64 z y)))
(/.f64 (*.f64 t z) y)
(*.f64 t (/.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 t (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 t (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 t (+.f64 (/.f64 x t) (/.f64 z y)))
x
(/.f64 (*.f64 t z) y)
(*.f64 t (/.f64 z y))
(*.f64 z (+.f64 (/.f64 t y) (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 t y) (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 t y) (/.f64 x z)))
(/.f64 (*.f64 t z) y)
(*.f64 t (/.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 (/.f64 t y) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 (/.f64 t y) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 (/.f64 t y) (/.f64 x z)))
(/.f64 (*.f64 t z) y)
(*.f64 t (/.f64 z y))
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) y)
(/.f64 (fma.f64 t z (*.f64 x y)) y)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) y)
(/.f64 (fma.f64 t z (*.f64 x y)) y)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) y)
(/.f64 (fma.f64 t z (*.f64 x y)) y)
x
x
(+.f64 #s(literal 0 binary64) (*.f64 t (/.f64 z y)))
(*.f64 t (/.f64 z y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (/.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 t) (/.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (/.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (/.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (/.f64 z y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (/.f64 z y)))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (/.f64 z y)))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t (/.f64 z y)))) #s(literal 1 binary64))
(*.f64 t (/.f64 z y))
(*.f64 t (/.f64 z y))
(*.f64 z (/.f64 t y))
(*.f64 t (/.f64 z y))
(*.f64 z (*.f64 t (/.f64 #s(literal 1 binary64) y)))
(*.f64 t (/.f64 z y))
(*.f64 (*.f64 t z) (/.f64 #s(literal 1 binary64) y))
(*.f64 t (/.f64 z y))
(*.f64 (*.f64 t (/.f64 z y)) #s(literal 1 binary64))
(*.f64 t (/.f64 z y))
(*.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z y)))
(*.f64 t (/.f64 z y))
(*.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 t (/.f64 z y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 t (/.f64 z y))))
(*.f64 t (/.f64 z y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) y))
(*.f64 t (/.f64 z y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 t (/.f64 z y))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 (cbrt.f64 t) (/.f64 z y)))
(*.f64 t (/.f64 z y))
(*.f64 (sqrt.f64 (*.f64 t (/.f64 z y))) (sqrt.f64 (*.f64 t (/.f64 z y))))
(*.f64 t (/.f64 z y))
(*.f64 (sqrt.f64 (*.f64 t z)) (/.f64 (sqrt.f64 (*.f64 t z)) y))
(*.f64 t (/.f64 z y))
(*.f64 (sqrt.f64 (*.f64 t z)) (*.f64 (sqrt.f64 (*.f64 t z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 t (/.f64 z y))
(*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 z y)))
(*.f64 t (/.f64 z y))
(*.f64 (*.f64 t (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 t (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 t z))
(*.f64 t (/.f64 z y))
(*.f64 (/.f64 z y) t)
(*.f64 t (/.f64 z y))
(*.f64 (/.f64 t #s(literal 1 binary64)) (/.f64 z y))
(*.f64 t (/.f64 z y))
(*.f64 (/.f64 t (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 t (/.f64 z y))
(*.f64 (/.f64 t (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 t (/.f64 z y))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)))
(*.f64 t (/.f64 z y))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 t y))
(*.f64 t (/.f64 z y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 y)))
(*.f64 t (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 t z) (cbrt.f64 y)))
(*.f64 t (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 t z) (sqrt.f64 y)))
(*.f64 t (/.f64 z y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) y))
(*.f64 t (/.f64 z y))
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(fma.f64 t (/.f64 z y) x)
(*.f64 (sqrt.f64 (fma.f64 t (/.f64 z y) x)) (sqrt.f64 (fma.f64 t (/.f64 z y) x)))
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(fma.f64 t (/.f64 z y) x)
(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
(fma.f64 z (/.f64 t y) x)
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 t (/.f64 z y)))
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
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(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 t z)) y) x)
(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 t (/.f64 z y))) x)
(fma.f64 (cbrt.f64 (*.f64 t (/.f64 z y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 t z)) (sqrt.f64 y)) x)
(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 t z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 t z)) y) x)
(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 t z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 t z)) (cbrt.f64 y)) x)
(-.f64 x (*.f64 t (/.f64 (neg.f64 z) y)))
(fma.f64 t (/.f64 z y) x)

eval36.0ms (0.9%)

Compiler

Compiled 4 065 to 878 computations (78.4% saved)

prune42.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2761277
Fresh000
Picked022
Done011
Total2764280
Accuracy
100.0%
Counts
280 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(+.f64 (*.f64 x y) (*.f64 z t))
87.1%
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
48.9%
(*.f64 x y)
55.7%
(*.f64 t z)
Compiler

Compiled 38 to 25 computations (34.2% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 t z)
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
1921
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 t z)
t
z
Outputs
(*.f64 t z)
t
z

localize14.0ms (0.4%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 t z)
Samples
10.0ms256×0valid
Compiler

Compiled 7 to 7 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (83.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval3.0ms (0.1%)

Compiler

Compiled 169 to 61 computations (63.9% saved)

prune20.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New21021
Fresh000
Picked011
Done033
Total21425
Accuracy
100.0%
Counts
25 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(+.f64 (*.f64 x y) (*.f64 z t))
87.1%
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
48.9%
(*.f64 x y)
55.7%
(*.f64 t z)
Compiler

Compiled 70 to 37 computations (47.1% saved)

regimes18.0ms (0.5%)

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

7 calls:

2.0ms
z
2.0ms
t
2.0ms
y
2.0ms
x
2.0ms
(*.f64 z t)
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1t
99.2%1(+.f64 (*.f64 x y) (*.f64 z t))
99.2%1(*.f64 x y)
99.2%1(*.f64 z t)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes18.0ms (0.5%)

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

7 calls:

6.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
2.0ms
t
2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1t
99.2%1(+.f64 (*.f64 x y) (*.f64 z t))
99.2%1(*.f64 x y)
99.2%1(*.f64 z t)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes9.0ms (0.2%)

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
y
2.0ms
t
1.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
77.7%3x
71.5%3y
71.2%3z
72.4%3t
81.3%3(*.f64 x y)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes5.0ms (0.1%)

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
t
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
55.7%1z
55.7%1y
55.7%1t
55.7%1x
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch22.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.4324625510176867e+89
1.5201673144845734e+95
8.0ms
-11.322098899191515
-0.23445024421331606
Samples
13.0ms256×0valid
Compiler

Compiled 238 to 190 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (56.3% of total)
ival-add: 1.0ms (28.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify3.0ms (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 -8782019273372467/4503599627370496 binary64)) (*.f64 x y) (if (<=.f64 (*.f64 x y) #s(literal 580000000000000050669276905375352226763852763198679499762772294463884516419014021089329152 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 -8782019273372467/4503599627370496 binary64)) (*.f64 x y) (if (<=.f64 (*.f64 x y) #s(literal 580000000000000050669276905375352226763852763198679499762772294463884516419014021089329152 binary64)) (*.f64 t z) (*.f64 x y)))
(if (or (<=.f64 (*.f64 x y) #s(literal -8782019273372467/4503599627370496 binary64)) (not (<=.f64 (*.f64 x y) #s(literal 580000000000000050669276905375352226763852763198679499762772294463884516419014021089329152 binary64)))) (*.f64 x y) (*.f64 z t))
(*.f64 t z)
(*.f64 z t)

soundness66.0ms (1.7%)

Rules
226×fma-define
118×fmm-def
49×associate-*r*
49×unsub-neg
43×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045464
196464
2170464
3374464
4603464
5810464
6965464
7987464
8991464
Stop Event
done
saturated
Compiler

Compiled 56 to 23 computations (58.9% saved)

preprocess39.0ms (1%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 260 to 140 computations (46.2% saved)

end0.0ms (0%)

Profiling

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