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

Time bar (total: 3.6s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample1.1s (29.9%)

Memory
-4.1MiB live, 1 024.1MiB allocated
Samples
575.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 347.0ms
ival-add: 185.0ms (53.4% of total)
ival-mult: 154.0ms (44.4% of total)
ival-true: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess144.0ms (4.1%)

Memory
-1.6MiB live, 75.0MiB allocated
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)

explain123.0ms (3.5%)

Memory
12.7MiB live, 132.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(+.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-rescue10
(*.f64 x y)overflow35
(*.f64 z t)overflow31
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
85.0ms512×0valid
Compiler

Compiled 60 to 32 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 66.0ms (95.4% of total)
ival-add: 2.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 x y (*.f64 z t))
99.6%
(+.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify63.0ms (1.8%)

Memory
-27.3MiB live, 11.0MiB allocated
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

localize24.0ms (0.7%)

Memory
12.0MiB live, 50.3MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z t)
accuracy99.6%
(fma.f64 x y (*.f64 z t))
accuracy100.0%
(*.f64 z t)
accuracy100.0%
(*.f64 x y)
accuracy99.7%
(+.f64 (*.f64 x y) (*.f64 z t))
Samples
15.0ms256×0valid
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 (80.7% of total)
ival-add: 1.0ms (20.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.3%)

Memory
24.0MiB live, 24.0MiB allocated
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)

rewrite261.0ms (7.3%)

Memory
-24.5MiB live, 417.3MiB allocated
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)))
(expm1.f64 (log1p.f64 (*.f64 z t)))
(log1p.f64 (expm1.f64 (*.f64 z t)))
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(/.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)))

simplify180.0ms (5.1%)

Memory
-6.2MiB live, 269.8MiB allocated
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)
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(*.f64 t z)
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(*.f64 t z)
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(+.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)))
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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)
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
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(*.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)))))
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(+.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))
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(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))))
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(expm1.f64 (log1p.f64 (*.f64 x y)))
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(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)))
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(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))))
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(*.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)))))
(*.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)))))
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eval23.0ms (0.6%)

Memory
19.2MiB live, 57.8MiB allocated
Compiler

Compiled 2 670 to 513 computations (80.8% saved)

prune30.0ms (0.8%)

Memory
-2.4MiB live, 78.7MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1903193
Fresh000
Picked112
Done000
Total1914195
Accuracy
100.0%
Counts
195 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 (*.f64 x y) (*.f64 z t))
90.7%
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
53.8%
(*.f64 x y)
91.5%
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify361.0ms (10.1%)

Memory
6.5MiB live, 45.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 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)
cost-diff-6272
(+.f64 z (/.f64 (*.f64 x y) t))
cost-diff-6144
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) t)
Rules
2 579×associate-/r/
1 442×cube-prod
989×swap-sqr
564×cube-div
547×pow-sqr
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
019265
139249
276249
3128243
4168231
5198231
6812231
72203231
82638231
92996231
103380231
113843231
124492231
135078231
145352231
155410231
165492231
175556231
186158231
196955231
207282231
217453231
227696231
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
t
(+.f64 z (/.f64 (*.f64 x y) t))
z
(/.f64 (*.f64 x y) t)
(*.f64 x y)
x
y
(*.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 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
(*.f64 t (fma.f64 x (/.f64 y t) z))
(fma.f64 x (*.f64 y #s(literal 1 binary64)) (*.f64 t z))
(fma.f64 t z (*.f64 x y))
t
(+.f64 z (/.f64 (*.f64 x y) t))
(+.f64 z (*.f64 x (/.f64 y t)))
(fma.f64 x (/.f64 y t) z)
z
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(*.f64 y (/.f64 x t))
(*.f64 x y)
x
y
(*.f64 x y)
x
y
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 t (+.f64 z (*.f64 x (/.f64 y t))))
(*.f64 t (fma.f64 x (/.f64 y t) z))
(fma.f64 x (*.f64 y #s(literal 1 binary64)) (*.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)
x
(/.f64 (*.f64 t z) y)
(*.f64 t (/.f64 z y))
(*.f64 t z)
t
z

localize36.0ms (1%)

Memory
9.9MiB live, 88.6MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 t z)
accuracy100.0%
(+.f64 x (/.f64 (*.f64 t z) y))
accuracy92.4%
(/.f64 (*.f64 t z) y)
accuracy91.0%
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(+.f64 z (/.f64 (*.f64 x y) t))
accuracy100.0%
(*.f64 x y)
accuracy91.4%
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
accuracy89.1%
(/.f64 (*.f64 x y) t)
Samples
24.0ms256×0valid
Compiler

Compiled 63 to 14 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (55.8% of total)
ival-div: 3.0ms (23.9% of total)
ival-add: 2.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series37.0ms (1%)

Memory
-11.6MiB live, 83.3MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x y) t)>
#<alt (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))>
#<alt (+.f64 z (/.f64 (*.f64 x y) t))>
#<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 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 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 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 (*.f64 x y) t)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))>
#<alt z>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt z>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (/.f64 (*.f64 x y) t)>
#<alt (/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)>
#<alt (/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)>
#<alt (/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)>
#<alt z>
#<alt 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 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

72 calls:

TimeVariablePointExpression
6.0ms
t
@0
(/ (* x y) t)
5.0ms
y
@inf
(/ (* x y) t)
3.0ms
z
@-inf
(* y (+ x (/ (* t z) y)))
2.0ms
z
@0
(* t (+ z (/ (* x y) t)))
2.0ms
t
@-inf
(/ (* t z) y)

rewrite172.0ms (4.8%)

Memory
-21.6MiB live, 137.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 079×log1p-expm1-u
969×expm1-log1p-u
146×associate-*r*
136×add-cube-cbrt
135×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019199
1292183
24633183
Stop Event
node limit
Counts
7 → 241
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) t)
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(+.f64 z (/.f64 (*.f64 x y) t))
(/.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 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y t)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y t))
(*.f64 y (/.f64 x t))
(*.f64 y (*.f64 x (/.f64 #s(literal 1 binary64) t)))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) t))
(*.f64 (*.f64 x (/.f64 y t)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y t)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y t))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) t))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y t)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y t))) (sqrt.f64 (*.f64 x (/.f64 y t))))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) t))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y t)))
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(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 x y (*.f64 y (*.f64 t (/.f64 z y))))
(fma.f64 y x (*.f64 y (*.f64 t (/.f64 z y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y (*.f64 t (/.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y (*.f64 t (/.f64 z y))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y (*.f64 t (/.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 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x)))))
(*.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 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x))) (+.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 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.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 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 t (/.f64 z y))))))
(/.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 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x)))))
(/.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))) (-.f64 (*.f64 t (/.f64 z y)) 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))))
(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 (*.f64 t z) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 t (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z y)) 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 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 x) (sqrt.f64 x) (*.f64 t (/.f64 z y)))

simplify185.0ms (5.2%)

Memory
-11.2MiB live, 267.0MiB allocated
Algorithm
egg-herbie
Rules
634×fmm-def
419×associate-*r*
354×associate-*l*
324×exp-prod
318×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059314391
1145813795
2528813783
Stop Event
node limit
Counts
397 → 351
Calls
Call 1
Inputs
(*.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 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 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x (+.f64 y (/.f64 (*.f64 t z) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x)))))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(+.f64 (*.f64 t z) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(/.f64 (*.f64 x y) t)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))
z
(/.f64 (*.f64 x y) t)
(*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))
(/.f64 (*.f64 x y) t)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
z
(/.f64 (*.f64 x y) t)
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(/.f64 (*.f64 x y) t)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(/.f64 (*.f64 x y) t)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)
z
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 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)
(*.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 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t y)) (*.f64 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 t y)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(/.f64 (*.f64 t z) y)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) y)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) y)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) y)
x
x
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y t)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y t))
(*.f64 y (/.f64 x t))
(*.f64 y (*.f64 x (/.f64 #s(literal 1 binary64) t)))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) t))
(*.f64 (*.f64 x (/.f64 y t)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y t)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y t))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y t))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) t))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y t)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y t))) (sqrt.f64 (*.f64 x (/.f64 y t))))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) t))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y t)))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 t)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 x y))
(*.f64 (/.f64 y t) x)
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(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 t (/.f64 z y) x))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 y (*.f64 t (/.f64 z y))))
(fma.f64 y x (*.f64 y (*.f64 t (/.f64 z y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y (*.f64 t (/.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 y (*.f64 t (/.f64 z y))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y (*.f64 t (/.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 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x)))))
(*.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 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x))) (+.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 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.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 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 t (/.f64 z y))))))
(/.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 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x)))))
(/.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))) (-.f64 (*.f64 t (/.f64 z y)) 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))))
(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 (*.f64 t z) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 t (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z y)) 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 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 x) (sqrt.f64 x) (*.f64 t (/.f64 z y)))
Outputs
(*.f64 x y)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.f64 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 (neg.f64 t) (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 y t) z)))
(*.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 (neg.f64 t) (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 y t) z)))
(*.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 (neg.f64 t) (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 y t) z)))
(*.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))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.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 (neg.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 t (*.f64 x (/.f64 y z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 y z) t)) (neg.f64 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 (neg.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 t (*.f64 x (/.f64 y z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 y z) t)) (neg.f64 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 (neg.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 t (*.f64 x (/.f64 y z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 y z) t)) (neg.f64 z))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.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 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 t (/.f64 z x)))))
(*.f64 x (neg.f64 (neg.f64 (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 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 t (/.f64 z x)))))
(*.f64 x (neg.f64 (neg.f64 (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 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 y (*.f64 t (/.f64 z x)))))
(*.f64 x (neg.f64 (neg.f64 (fma.f64 t (/.f64 z x) y))))
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (fma.f64 z (/.f64 t y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (fma.f64 z (/.f64 t y) x))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (fma.f64 z (/.f64 t y) x))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (fma.f64 z (/.f64 t y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (fma.f64 z (/.f64 t y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (fma.f64 z (/.f64 t y) x))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 t z)))))
(*.f64 z (fma.f64 x (/.f64 (/.f64 y t) z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 t z)))))
(*.f64 z (fma.f64 x (/.f64 (/.f64 y t) z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (*.f64 t z)))))
(*.f64 z (fma.f64 x (/.f64 (/.f64 y t) z) #s(literal 1 binary64)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (*.f64 t z))) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (/.f64 y t) z)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (/.f64 y t) z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (*.f64 t z))) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (/.f64 y t) z)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (/.f64 y t) z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (*.f64 t z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (*.f64 t z))) #s(literal -1 binary64)))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (/.f64 y t) z)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (/.f64 y t) z))) (neg.f64 z))
z
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 y t) (/.f64 z x)))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y t) (/.f64 z x))))
(*.f64 x (neg.f64 (-.f64 (/.f64 z (neg.f64 x)) (/.f64 y t))))
(*.f64 (-.f64 (/.f64 y (neg.f64 t)) (/.f64 z x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y t) (/.f64 z x))))
(*.f64 x (neg.f64 (-.f64 (/.f64 z (neg.f64 x)) (/.f64 y t))))
(*.f64 (-.f64 (/.f64 y (neg.f64 t)) (/.f64 z x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y t)) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y t) (/.f64 z x))))
(*.f64 x (neg.f64 (-.f64 (/.f64 z (neg.f64 x)) (/.f64 y t))))
(*.f64 (-.f64 (/.f64 y (neg.f64 t)) (/.f64 z x)) (neg.f64 x))
z
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x t)) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 (/.f64 x t) (/.f64 z y)))
(/.f64 (*.f64 x y) t)
(*.f64 x (/.f64 y t))
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)
(/.f64 (fma.f64 t z (*.f64 x y)) t)
(/.f64 (fma.f64 x y (*.f64 t z)) t)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)
(/.f64 (fma.f64 t z (*.f64 x y)) t)
(/.f64 (fma.f64 x y (*.f64 t z)) t)
(/.f64 (+.f64 (*.f64 t z) (*.f64 x y)) t)
(/.f64 (fma.f64 t z (*.f64 x y)) t)
(/.f64 (fma.f64 x y (*.f64 t z)) t)
z
z
(*.f64 t z)
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 x y))
(fma.f64 t z (*.f64 x y))
(fma.f64 x y (*.f64 t z))
(*.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 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (fma.f64 z (/.f64 t y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (fma.f64 z (/.f64 t y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y)))))
(*.f64 y (fma.f64 t (/.f64 z y) x))
(*.f64 y (fma.f64 z (/.f64 t y) x))
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(-.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 (-.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 t y)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (/.f64 t y))))
(*.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)
(*.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 z y) x))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t 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)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(*.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)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(*.f64 (sqrt.f64 (fma.f64 t (/.f64 z y) x)) (sqrt.f64 (fma.f64 t (/.f64 z y) x)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t 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 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x))) (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z (/.f64 t y)) (-.f64 (*.f64 z (/.f64 t y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x))))
(*.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 (-.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 t y)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (/.f64 t y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x))) (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z (/.f64 t y)) (-.f64 (*.f64 z (/.f64 t y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x))))
(/.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 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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 t y)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (/.f64 t y))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x))) (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z (/.f64 t y)) (-.f64 (*.f64 z (/.f64 t y)) x))))
(/.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 t (/.f64 z y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 t (/.f64 z y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 t y)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 z (/.f64 t y))))))
(/.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 x (-.f64 x (*.f64 t (/.f64 z y))))))
(/.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 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 t y)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (/.f64 t 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 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z (/.f64 t y)) (-.f64 (*.f64 z (/.f64 t y)) x)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 t (/.f64 z y)) (-.f64 (*.f64 t (/.f64 z y)) x)))))
(/.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 z (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z (/.f64 t y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 t (/.f64 z y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 t (/.f64 z y)) x))
(/.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 z (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z (/.f64 t y)) x))
(pow.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)
(pow.f64 (cbrt.f64 (fma.f64 t (/.f64 z y) x)) #s(literal 3 binary64))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(pow.f64 (pow.f64 (fma.f64 t (/.f64 z y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(pow.f64 (sqrt.f64 (fma.f64 t (/.f64 z y) x)) #s(literal 2 binary64))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(sqrt.f64 (pow.f64 (fma.f64 t (/.f64 z y) x) #s(literal 2 binary64)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(log.f64 (exp.f64 (fma.f64 t (/.f64 z y) x)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 t (/.f64 z y) x))))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(cbrt.f64 (pow.f64 (fma.f64 t (/.f64 z y) x) #s(literal 3 binary64)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(expm1.f64 (log1p.f64 (fma.f64 t (/.f64 z y) x)))
(expm1.f64 (log1p.f64 (fma.f64 z (/.f64 t y) x)))
(log1p.f64 (expm1.f64 (fma.f64 t (/.f64 z y) x)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(exp.f64 (log.f64 (fma.f64 t (/.f64 z y) x)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t 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 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(fma.f64 (*.f64 t z) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 t (/.f64 z y)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z y)) x)
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) 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 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 t (/.f64 z y)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(fma.f64 (sqrt.f64 (*.f64 t (/.f64 z y))) (sqrt.f64 (*.f64 t (/.f64 z y))) x)
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 t (/.f64 z y)))
(fma.f64 t (/.f64 z y) x)
(fma.f64 z (/.f64 t y) x)

eval46.0ms (1.3%)

Memory
28.1MiB live, 103.7MiB allocated
Compiler

Compiled 6 093 to 1 292 computations (78.8% saved)

prune72.0ms (2%)

Memory
7.1MiB live, 129.3MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3961397
Fresh000
Picked033
Done011
Total3965401
Accuracy
100.0%
Counts
401 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 (*.f64 x y) (*.f64 z t))
90.7%
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
53.8%
(*.f64 x y)
91.5%
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
51.7%
(*.f64 t z)
Compiler

Compiled 51 to 33 computations (35.3% saved)

simplify6.0ms (0.2%)

Memory
4.4MiB live, 4.4MiB allocated
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

localize311.0ms (8.7%)

Memory
-16.6MiB live, 22.5MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 t z)
Samples
9.0ms256×0valid
Compiler

Compiled 7 to 7 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (73.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval2.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Compiler

Compiled 97 to 40 computations (58.8% saved)

prune6.0ms (0.2%)

Memory
-25.7MiB live, 13.2MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New15015
Fresh000
Picked011
Done044
Total15520
Accuracy
100.0%
Counts
20 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 (*.f64 x y) (*.f64 z t))
90.7%
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
53.8%
(*.f64 x y)
91.5%
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
51.7%
(*.f64 t z)
Compiler

Compiled 92 to 48 computations (47.8% saved)

regimes144.0ms (4%)

Memory
-3.1MiB live, 39.6MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 t z)
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z t))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) 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:

3.0ms
z
3.0ms
t
3.0ms
x
3.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
3.0ms
y
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1t
99.6%1(+.f64 (*.f64 x y) (*.f64 z t))
99.6%1(*.f64 x y)
99.6%1(*.f64 z t)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes17.0ms (0.5%)

Memory
31.1MiB live, 31.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 t z)
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z t))
(*.f64 t (+.f64 z (/.f64 (*.f64 x y) t)))
(*.f64 y (+.f64 x (/.f64 (*.f64 t z) y)))
Outputs
(+.f64 (*.f64 x y) (*.f64 z t))
Calls

7 calls:

2.0ms
t
2.0ms
z
2.0ms
y
2.0ms
(*.f64 z t)
2.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1t
99.6%1(+.f64 (*.f64 x y) (*.f64 z t))
99.6%1(*.f64 x y)
99.6%1(*.f64 z t)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes105.0ms (3%)

Memory
-15.7MiB live, 23.8MiB allocated
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:

98.0ms
z
2.0ms
x
2.0ms
(*.f64 x y)
2.0ms
y
2.0ms
t
Results
AccuracySegmentsBranch
78.2%3x
73.5%3y
73.0%3z
70.3%3t
82.2%3(*.f64 x y)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes6.0ms (0.2%)

Memory
21.2MiB live, 21.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
z
1.0ms
y
1.0ms
t
1.0ms
x
Results
AccuracySegmentsBranch
51.7%1t
51.7%1z
51.7%1y
51.7%1x
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch22.0ms (0.6%)

Memory
-18.7MiB live, 59.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
2.1001958283977197e-16
7.15522043034065e-14
10.0ms
-1.8557357716966235e-34
-1.6244778261396395e-41
Samples
12.0ms272×0valid
Compiler

Compiled 252 to 201 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61% of total)
ival-add: 1.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify3.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
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 -8680150524435699/5986310706507378352962293074805895248510699696029696 binary64)) (*.f64 x y) (if (<=.f64 (*.f64 x y) #s(literal 3397303608611655/5070602400912917605986812821504 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 -8680150524435699/5986310706507378352962293074805895248510699696029696 binary64)) (*.f64 x y) (if (<=.f64 (*.f64 x y) #s(literal 3397303608611655/5070602400912917605986812821504 binary64)) (*.f64 t z) (*.f64 x y)))
(if (or (<=.f64 (*.f64 x y) #s(literal -8680150524435699/5986310706507378352962293074805895248510699696029696 binary64)) (not (<=.f64 (*.f64 x y) #s(literal 3397303608611655/5070602400912917605986812821504 binary64)))) (*.f64 x y) (*.f64 z t))
(*.f64 t z)
(*.f64 z t)

soundness67.0ms (1.9%)

Memory
-16.8MiB live, 63.0MiB allocated
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)

preprocess38.0ms (1.1%)

Memory
14.2MiB live, 90.6MiB allocated
Remove

(sort z t)

(sort x y)

Compiler

Compiled 260 to 140 computations (46.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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