sqrt D (should all be same)

Time bar (total: 28.0min)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample649.0ms (0%)

Memory
5.8MiB live, 719.7MiB allocated
Samples
435.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-pow2: 94.0ms (44.7% of total)
ival-sqrt: 53.0ms (25.2% of total)
ival-mult: 51.0ms (24.3% of total)
ival-true: 5.0ms (2.4% of total)
exact: 4.0ms (1.9% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

preprocess14.0ms (0%)

Memory
24.0MiB live, 24.0MiB allocated
Algorithm
egg-herbie
Rules
60×associate-*r*
36×unsub-neg
34×associate-*l*
30×distribute-rgt-neg-out
26×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12019
24219
312419
422519
524919
625719
056
176
2116
3126
0126
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(sqrt (* 2 (pow x 2)))
Outputs
(sqrt (* 2 (pow x 2)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Call 2
Inputs
(sqrt (* 2 (pow x 2)))
(sqrt (* 2 (pow (neg x) 2)))
(neg (sqrt (* 2 (pow (neg x) 2))))
Outputs
(sqrt (* 2 (pow x 2)))
(sqrt (* x (* 2 x)))
(sqrt (* 2 (pow (neg x) 2)))
(sqrt (* x (* 2 x)))
(neg (sqrt (* 2 (pow (neg x) 2))))
(neg (sqrt (* x (* 2 x))))
Symmetry

(abs x)

explain79.0ms (0%)

Memory
-12.0MiB live, 145.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1220-1(6.195533336781938e-161)(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
00-0-(pow.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))oflow-rescue670
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))overflow67
(pow.f64 x #s(literal 2 binary64))overflow67
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))uflow-rescue540
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))underflow54
(pow.f64 x #s(literal 2 binary64))underflow54
Confusion
Predicted +Predicted -
+1211
-0134
Precision
1.0
Recall
0.9918032786885246
Confusion?
Predicted +Predicted MaybePredicted -
+12101
-00134
Precision?
1.0
Recall?
0.9918032786885246
Freqs
test
numberfreq
0135
1121
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms512×0valid
Compiler

Compiled 50 to 24 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-pow2: 5.0ms (38.1% of total)
ival-sqrt: 4.0ms (30.5% of total)
ival-mult: 3.0ms (22.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
cost-diff6144
(pow.f64 x #s(literal 2 binary64))
Rules
14×*-lowering-*.f32
14×*-lowering-*.f64
*-commutative
sqrt-lowering-sqrt.f64
pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
1716
21116
31216
01216
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(sqrt (* 2 (pow x 2)))
(* 2 (pow x 2))
2
(pow x 2)
x
Outputs
(sqrt (* 2 (pow x 2)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(pow x 2)
(*.f64 x x)
x

localize20.0ms (0%)

Memory
-2.9MiB live, 36.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy55.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Samples
13.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-pow2: 3.0ms (46.7% of total)
ival-sqrt: 2.0ms (31.1% of total)
ival-mult: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (pow x 2)>
#<alt (sqrt (* 2 (pow x 2)))>
#<alt (* 2 (pow x 2))>
Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(sqrt (* 2 (pow x 2)))
0.0ms
x
@0
(* 2 (pow x 2))
0.0ms
x
@inf
(pow x 2)
0.0ms
x
@inf
(sqrt (* 2 (pow x 2)))
0.0ms
x
@0
(pow x 2)

rewrite212.0ms (0%)

Memory
8.2MiB live, 239.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 310×*-lowering-*.f32
2 310×*-lowering-*.f64
2 014×/-lowering-/.f32
2 014×/-lowering-/.f64
1 182×frac-times
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0514
11912
25412
318412
47704
561584
090124
Stop Event
iter limit
node limit
Counts
3 → 46
Calls
Call 1
Inputs
(pow x 2)
(sqrt (* 2 (pow x 2)))
(* 2 (pow x 2))
Outputs
#s(literal 1 binary64)
x
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)))))
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/2 binary64)))))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (E.f64) (E.f64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (E.f64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (E.f64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (E.f64)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) #s(literal 8 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (E.f64))) (log.f64 #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 (sqrt.f64 (E.f64))) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)))
#s(literal 2 binary64)

simplify14.0ms (0%)

Memory
-29.6MiB live, 22.7MiB allocated
Algorithm
egg-herbie
Rules
38×*-lowering-*.f32
38×*-lowering-*.f64
38×accelerator-lowering-fma.f32
38×accelerator-lowering-fma.f64
36×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08148
115148
232148
338148
442148
554148
666148
777148
897148
9102148
0102148
Stop Event
iter limit
saturated
Counts
36 → 36
Calls
Call 1
Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
Outputs
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(* -1 (* x (sqrt 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(* -1 (* x (sqrt 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(* -1 (* x (sqrt 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))

eval9.0ms (0%)

Memory
22.7MiB live, 22.7MiB allocated
Compiler

Compiled 625 to 121 computations (80.6% saved)

prune8.0ms (0%)

Memory
-18.0MiB live, 20.4MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New78482
Fresh000
Picked101
Done000
Total79483
Accuracy
99.6%
Counts
83 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
55.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))))
7.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
5.6%
(sqrt.f64 #s(literal 2 binary64))
Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify4.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
cost-diff-64
(*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
cost-diff0
(fma.f64 x x #s(literal 0 binary64))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
Rules
18×*-lowering-*.f32
18×*-lowering-*.f64
14×accelerator-lowering-fma.f32
14×accelerator-lowering-fma.f64
12×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
12338
22738
02738
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(sqrt 2)
2
(sqrt (* 2 x))
(* 2 x)
2
x
(sqrt (* 2 (+ (* x x) 0)))
(* 2 (+ (* x x) 0))
2
(+ (* x x) 0)
x
0
(+ (* x (sqrt 2)) 0)
x
(sqrt 2)
2
0
Outputs
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(sqrt (* 2 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(sqrt (* 2 (+ (* x x) 0)))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* 2 (+ (* x x) 0))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(+ (* x (sqrt 2)) 0)
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
x
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
0
#s(literal 0 binary64)

localize39.0ms (0%)

Memory
-1.6MiB live, 74.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.4%
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
accuracy55.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))))
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
Samples
23.0ms256×0valid
Compiler

Compiled 44 to 14 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (48.7% of total)
ival-sqrt: 5.0ms (34.8% of total)
ival-add: 2.0ms (13.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
7 → 72
Calls
Call 1
Inputs
#<alt (sqrt 2)>
#<alt (sqrt (* 2 x))>
#<alt (* 2 x)>
#<alt (sqrt (* 2 (+ (* x x) 0)))>
#<alt (+ (* x x) 0)>
#<alt (* 2 (+ (* x x) 0))>
#<alt (+ (* x (sqrt 2)) 0)>
Outputs
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sqrt (* 2 (+ (* x x) 0)))
0.0ms
x
@-inf
(sqrt (* 2 x))
0.0ms
x
@0
(sqrt (* 2 x))
0.0ms
x
@inf
(sqrt (* 2 x))
0.0ms
x
@-inf
(* 2 x)

rewrite361.0ms (0%)

Memory
20.9MiB live, 446.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 302×accelerator-lowering-fma.f32
3 302×accelerator-lowering-fma.f64
2 214×*-lowering-*.f32
2 214×*-lowering-*.f64
1 732×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01229
15727
245525
3384425
0850425
Stop Event
iter limit
node limit
Counts
7 → 890
Calls
Call 1
Inputs
(sqrt 2)
(sqrt (* 2 x))
(* 2 x)
(sqrt (* 2 (+ (* x x) 0)))
(+ (* x x) 0)
(* 2 (+ (* x x) 0))
(+ (* x (sqrt 2)) 0)
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (exp.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 1/4 binary64))))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -2 binary64) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x) #s(literal 0 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
(+.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
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(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -2 binary64) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)))))

simplify29.0ms (0%)

Memory
-37.0MiB live, 57.2MiB allocated
Algorithm
egg-herbie
Rules
142×*-lowering-*.f32
142×*-lowering-*.f64
142×accelerator-lowering-fma.f32
142×accelerator-lowering-fma.f64
96×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017308
134308
280308
3137308
4154308
5200308
6245308
7276308
8337308
9351308
10351308
0351308
Stop Event
iter limit
saturated
Counts
72 → 72
Calls
Call 1
Inputs
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
Outputs
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))

eval108.0ms (0%)

Memory
30.1MiB live, 255.9MiB allocated
Compiler

Compiled 18 343 to 1 499 computations (91.8% saved)

prune83.0ms (0%)

Memory
3.5MiB live, 202.0MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New9696975
Fresh000
Picked314
Done000
Total9727979
Accuracy
100.0%
Counts
979 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
99.3%
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
99.1%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
99.5%
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (sqrt.f64 x))
99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
55.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
5.6%
(sqrt.f64 #s(literal 2 binary64))
Compiler

Compiled 99 to 73 computations (26.3% saved)

simplify12.0ms (0%)

Memory
-23.4MiB live, 16.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff320
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff-64
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff-64
(*.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
cost-diff0
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (sqrt.f64 x))
Rules
82×*-lowering-*.f32
82×*-lowering-*.f64
36×accelerator-lowering-fma.f32
36×accelerator-lowering-fma.f64
32×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01878
13078
24978
37278
410178
511078
612678
712678
812978
913178
1013178
013178
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (sqrt (+ (* 2 x) 0)) (sqrt x))
(sqrt (+ (* 2 x) 0))
(+ (* 2 x) 0)
2
x
0
(sqrt x)
(* (sqrt 2) x)
(sqrt 2)
2
x
(sqrt (* 2 (* x x)))
(* 2 (* x x))
2
(* x x)
x
(* (/ 2 (sqrt 2)) x)
(/ 2 (sqrt 2))
2
(sqrt 2)
x
(* (/ (+ (* 2 x) 0) (sqrt 2)) 1)
(/ (+ (* 2 x) 0) (sqrt 2))
(+ (* 2 x) 0)
2
x
0
(sqrt 2)
1
Outputs
(* (sqrt (+ (* 2 x) 0)) (sqrt x))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (sqrt.f64 x))
(sqrt (+ (* 2 x) 0))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(+ (* 2 x) 0)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
2
#s(literal 2 binary64)
x
0
#s(literal 0 binary64)
(sqrt x)
(sqrt.f64 x)
(* (sqrt 2) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
x
(sqrt (* 2 (* x x)))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)))
(* 2 (* x x))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x
(* (/ 2 (sqrt 2)) x)
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ 2 (sqrt 2))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
x
(* (/ (+ (* 2 x) 0) (sqrt 2)) 1)
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (+ (* 2 x) 0) (sqrt 2))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(+ (* 2 x) 0)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
2
#s(literal 2 binary64)
x
0
#s(literal 0 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
1
#s(literal 1 binary64)

localize64.0ms (0%)

Memory
23.1MiB live, 134.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
accuracy100.0%
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.3%
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.4%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
accuracy98.4%
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy55.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy100.0%
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
accuracy100.0%
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.5%
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (sqrt.f64 x))
Samples
36.0ms256×0valid
Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 11.0ms (44.9% of total)
ival-sqrt: 8.0ms (32.7% of total)
ival-div: 3.0ms (12.3% of total)
ival-add: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
13 → 132
Calls
Call 1
Inputs
#<alt (* (sqrt (+ (* 2 x) 0)) (sqrt x))>
#<alt (sqrt (+ (* 2 x) 0))>
#<alt (+ (* 2 x) 0)>
#<alt (sqrt x)>
#<alt (* (sqrt 2) x)>
#<alt (sqrt 2)>
#<alt (sqrt (* 2 (* x x)))>
#<alt (* x x)>
#<alt (* 2 (* x x))>
#<alt (/ 2 (sqrt 2))>
#<alt (* (/ 2 (sqrt 2)) x)>
#<alt (* (/ (+ (* 2 x) 0) (sqrt 2)) 1)>
#<alt (/ (+ (* 2 x) 0) (sqrt 2))>
Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
Calls

33 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* (sqrt (+ (* 2 x) 0)) (sqrt x))
1.0ms
x
@0
(* (/ 2 (sqrt 2)) x)
0.0ms
x
@-inf
(* (/ 2 (sqrt 2)) x)
0.0ms
x
@inf
(* (/ 2 (sqrt 2)) x)
0.0ms
x
@-inf
(sqrt x)

rewrite527.0ms (0%)

Memory
13.7MiB live, 971.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 322×accelerator-lowering-fma.f32
3 322×accelerator-lowering-fma.f64
2 848×*-lowering-*.f32
2 848×*-lowering-*.f64
1 812×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01857
16951
241445
3468345
0837245
Stop Event
iter limit
node limit
Counts
13 → 3 143
Calls
Call 1
Inputs
(* (sqrt (+ (* 2 x) 0)) (sqrt x))
(sqrt (+ (* 2 x) 0))
(+ (* 2 x) 0)
(sqrt x)
(* (sqrt 2) x)
(sqrt 2)
(sqrt (* 2 (* x x)))
(* x x)
(* 2 (* x x))
(/ 2 (sqrt 2))
(* (/ 2 (sqrt 2)) x)
(* (/ (+ (* 2 x) 0) (sqrt 2)) 1)
(/ (+ (* 2 x) 0) (sqrt 2))
Outputs
(+.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)))
(sqrt.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (sqrt.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
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(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))))))
(exp.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))))))
(exp.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
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(exp.f64 (-.f64 (fma.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 2 binary64))))
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(fabs.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))
(-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64))
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(fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))
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(exp.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (fma.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)))
(sqrt.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (sqrt.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
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(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
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(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
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(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
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(fma.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
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(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
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(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))

simplify352.0ms (0%)

Memory
9.1MiB live, 356.3MiB allocated
Algorithm
egg-herbie
Rules
3 800×accelerator-lowering-fma.f32
3 800×accelerator-lowering-fma.f64
2 140×*-lowering-*.f32
2 140×*-lowering-*.f64
1 190×div-sub
Iterations

Useful iterations: 27 (0.0ms)

IterNodesCost
024612
154612
2142612
3271612
4507612
5820612
61363612
71487612
81581612
91780612
102132612
112630612
122699612
132722612
142730612
152730612
162730612
172766612
183454612
195645612
206591612
216745612
226799612
236809612
246855612
256983612
267025612
277025608
287668608
08062608
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
Outputs
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))

eval766.0ms (0%)

Memory
53.5MiB live, 977.1MiB allocated
Compiler

Compiled 64 623 to 3 796 computations (94.1% saved)

prune283.0ms (0%)

Memory
-12.5MiB live, 632.1MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3 70453 709
Fresh101
Picked325
Done011
Total3 70883 716
Accuracy
100.0%
Counts
3 716 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.9%
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))
99.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
99.3%
(/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))
99.5%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
55.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
5.6%
(sqrt.f64 #s(literal 2 binary64))
Compiler

Compiled 111 to 82 computations (26.1% saved)

simplify252.0ms (0%)

Memory
-31.9MiB live, 419.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 x))
cost-diff0
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff64
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
cost-diff640
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
cost-diff1344
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff-64
(/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
cost-diff-64
(*.f64 x #s(literal 2 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Rules
4 086×accelerator-lowering-fma.f32
4 086×accelerator-lowering-fma.f64
3 868×*-lowering-*.f32
3 868×*-lowering-*.f64
3 586×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021103
139101
29399
316399
447799
5129199
6257699
7297399
8298199
9298199
10412699
11527999
12557399
13557399
14557399
15599699
16600299
17600299
18779599
0832599
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (* x 2)) (sqrt x))
(sqrt (* x 2))
(* x 2)
x
2
(sqrt x)
(/ x (* (sqrt 2) 1/2))
x
(* (sqrt 2) 1/2)
(sqrt 2)
2
1/2
(/ (* (sqrt 2) 1/2) (/ 1/2 x))
(* (sqrt 2) 1/2)
(sqrt 2)
2
1/2
(/ 1/2 x)
x
(/ 1 (/ (sqrt 2) (+ (* 2 x) 0)))
1
(/ (sqrt 2) (+ (* 2 x) 0))
(sqrt 2)
2
(+ (* 2 x) 0)
x
0
(/ (* (+ (* 2 x) 0) (sqrt x)) (sqrt (+ (* 2 x) 0)))
(* (+ (* 2 x) 0) (sqrt x))
(+ (* 2 x) 0)
2
x
0
(sqrt x)
(sqrt (+ (* 2 x) 0))
Outputs
(* (sqrt (* x 2)) (sqrt x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))
(sqrt (* x 2))
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(* x 2)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
x
2
#s(literal 2 binary64)
(sqrt x)
(sqrt.f64 x)
(/ x (* (sqrt 2) 1/2))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
x
(* (sqrt 2) 1/2)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(/ (* (sqrt 2) 1/2) (/ 1/2 x))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (sqrt 2) 1/2)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
x
(/ 1 (/ (sqrt 2) (+ (* 2 x) 0)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ (sqrt 2) (+ (* 2 x) 0))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* 2 x) 0)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(/ (* (+ (* 2 x) 0) (sqrt x)) (sqrt (+ (* 2 x) 0)))
(fma.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(* (+ (* 2 x) 0) (sqrt x))
(fma.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(+ (* 2 x) 0)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)
x
0
#s(literal 0 binary64)
(sqrt x)
(sqrt.f64 x)
(sqrt (+ (* 2 x) 0))
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))

localize81.0ms (0%)

Memory
-10.8MiB live, 181.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 x))
accuracy70.0%
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))
accuracy100.0%
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))
accuracy99.4%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.3%
(/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
accuracy100.0%
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Samples
44.0ms256×0valid
Compiler

Compiled 115 to 23 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 10.0ms (39.2% of total)
ival-mult: 7.0ms (27.4% of total)
ival-sqrt: 6.0ms (23.5% of total)
ival-add: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
15 → 156
Calls
Call 1
Inputs
#<alt (* (sqrt (* x 2)) (sqrt x))>
#<alt (sqrt (* x 2))>
#<alt (sqrt x)>
#<alt (* x 2)>
#<alt (* (sqrt 2) 1/2)>
#<alt (sqrt 2)>
#<alt (/ x (* (sqrt 2) 1/2))>
#<alt (/ (* (sqrt 2) 1/2) (/ 1/2 x))>
#<alt (/ 1/2 x)>
#<alt (/ 1 (/ (sqrt 2) (+ (* 2 x) 0)))>
#<alt (/ (sqrt 2) (+ (* 2 x) 0))>
#<alt (+ (* 2 x) 0)>
#<alt (* (+ (* 2 x) 0) (sqrt x))>
#<alt (sqrt (+ (* 2 x) 0))>
#<alt (/ (* (+ (* 2 x) 0) (sqrt x)) (sqrt (+ (* 2 x) 0)))>
Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 1/2 (/ (sqrt 2) x))>
#<alt (* 1/2 (/ (sqrt 2) x))>
#<alt (* 1/2 (/ (sqrt 2) x))>
#<alt (* 1/2 (/ (sqrt 2) x))>
#<alt (* 1/2 (/ (sqrt 2) x))>
#<alt (* 1/2 (/ (sqrt 2) x))>
#<alt (* 1/2 (/ (sqrt 2) x))>
#<alt (* 1/2 (/ (sqrt 2) x))>
#<alt (* 1/2 (/ (sqrt 2) x))>
#<alt (* 1/2 (/ (sqrt 2) x))>
#<alt (* 1/2 (/ (sqrt 2) x))>
#<alt (* 1/2 (/ (sqrt 2) x))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ (* x (sqrt -1)) (sqrt -2)))>
#<alt (* 2 (/ (* x (sqrt -1)) (sqrt -2)))>
#<alt (* 2 (/ (* x (sqrt -1)) (sqrt -2)))>
#<alt (* 2 (/ (* x (sqrt -1)) (sqrt -2)))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (sqrt 2) (+ (* 2 x) 0))
1.0ms
x
@-inf
(/ (* (+ (* 2 x) 0) (sqrt x)) (sqrt (+ (* 2 x) 0)))
0.0ms
x
@0
(* (+ (* 2 x) 0) (sqrt x))
0.0ms
x
@-inf
(* (+ (* 2 x) 0) (sqrt x))
0.0ms
x
@inf
(* (+ (* 2 x) 0) (sqrt x))

rewrite27.9min (99.8%)

Memory
23.5MiB live, 1 742.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 602×accelerator-lowering-fma.f32
6 602×accelerator-lowering-fma.f64
4 494×*-lowering-*.f32
4 494×*-lowering-*.f64
3 412×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02167
110667
271754
3691754
0802454
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt (* x 2)) (sqrt x))
(sqrt (* x 2))
(sqrt x)
(* x 2)
(* (sqrt 2) 1/2)
(sqrt 2)
(/ x (* (sqrt 2) 1/2))
(/ (* (sqrt 2) 1/2) (/ 1/2 x))
(/ 1/2 x)
(/ 1 (/ (sqrt 2) (+ (* 2 x) 0)))
(/ (sqrt 2) (+ (* 2 x) 0))
(+ (* 2 x) 0)
(* (+ (* 2 x) 0) (sqrt x))
(sqrt (+ (* 2 x) 0))
(/ (* (+ (* 2 x) 0) (sqrt x)) (sqrt (+ (* 2 x) 0)))
Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)))
(+.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))))
(+.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))))
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