sqrt E (should all be same)

Time bar (total: 28.0min)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 10 to 6 computations (40% saved)

sample490.0ms (0%)

Memory
48.5MiB live, 700.7MiB allocated
Samples
352.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 209.0ms
ival-pow2: 106.0ms (50.7% of total)
ival-sqrt: 53.0ms (25.4% of total)
ival-add: 42.0ms (20.1% of total)
ival-true: 5.0ms (2.4% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

preprocess35.0ms (0%)

Memory
-35.1MiB live, 18.7MiB allocated
Algorithm
egg-herbie
Rules
52×unsub-neg
50×associate-*r*
30×distribute-rgt-neg-out
26×distribute-lft-neg-out
26×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12019
24319
314619
426119
529019
629219
056
176
2126
3156
0153
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(sqrt (+ (pow x 2) (pow x 2)))
Outputs
(sqrt (+ (pow x 2) (pow x 2)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
Call 2
Inputs
(sqrt (+ (pow x 2) (pow x 2)))
(sqrt (+ (pow (neg x) 2) (pow (neg x) 2)))
(neg (sqrt (+ (pow (neg x) 2) (pow (neg x) 2))))
Outputs
(sqrt (+ (pow x 2) (pow x 2)))
(sqrt (* x (+ x x)))
(sqrt (+ (pow (neg x) 2) (pow (neg x) 2)))
(sqrt (* x (+ x x)))
(neg (sqrt (+ (pow (neg x) 2) (pow (neg x) 2))))
(neg (sqrt (* x (+ x x))))
Symmetry

(abs x)

explain68.0ms (0%)

Memory
2.2MiB live, 118.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1220-1(6.195533336781938e-161)(sqrt.f64 (+.f64 (pow.f64 x #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 (pow.f64 x #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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))oflow-rescue670
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))overflow67
(pow.f64 x #s(literal 2 binary64))overflow134
sqrt.f64(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))uflow-rescue540
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))underflow54
(pow.f64 x #s(literal 2 binary64))underflow108
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
24.0ms512×0valid
Compiler

Compiled 62 to 24 computations (61.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-pow2: 7.0ms (51.7% of total)
ival-sqrt: 3.0ms (22.2% of total)
ival-add: 2.0ms (14.8% 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify3.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
cost-diff320
(+.f64 (pow.f64 x #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
+-lowering-+.f64
count-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
1716
21216
31516
01513
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(sqrt (+ (pow x 2) (pow x 2)))
(+ (pow x 2) (pow x 2))
(pow x 2)
x
2
Outputs
(sqrt (+ (pow x 2) (pow x 2)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(+ (pow x 2) (pow x 2))
(*.f64 x (+.f64 x x))
(pow x 2)
(*.f64 x x)
x
2
#s(literal 2 binary64)

localize21.0ms (0%)

Memory
-16.6MiB live, 27.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
accuracy100.0%
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
accuracy55.8%
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
Samples
14.0ms256×0valid
Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-pow2: 6.0ms (66.6% of total)
ival-sqrt: 2.0ms (22.2% of total)
ival-add: 1.0ms (11.1% 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
3.8MiB live, 3.8MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow x 2))>
#<alt (sqrt (+ (pow x 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 (* 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 (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
Calls

9 calls:

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

rewrite38.0ms (0%)

Memory
7.0MiB live, 44.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
70×*-lowering-*.f32
70×*-lowering-*.f64
44×accelerator-lowering-fma.f32
44×accelerator-lowering-fma.f64
34×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
12510
01679
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
3 → 33
Calls
Call 1
Inputs
(pow x 2)
(+ (pow x 2) (pow x 2))
(sqrt (+ (pow x 2) (pow x 2)))
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 (*.f64 x x) (*.f64 x x))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 x x (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
(*.f64 x (+.f64 x x))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x x))) #s(literal 1/2 binary64)))
(hypot.f64 x x)
(hypot.f64 x (exp.f64 (log.f64 x)))
(hypot.f64 (exp.f64 (log.f64 x)) x)
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/4 binary64)))

simplify8.0ms (0%)

Memory
13.7MiB live, 13.7MiB 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
337148
441148
553148
665148
776148
896148
9101148
0101148
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)
(* 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))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 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))
(* 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))
(* 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)))

eval11.0ms (0%)

Memory
-21.3MiB live, 16.7MiB allocated
Compiler

Compiled 790 to 110 computations (86.1% saved)

prune8.0ms (0%)

Memory
17.7MiB live, 17.7MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New81687
Fresh000
Picked101
Done000
Total82688
Accuracy
100.0%
Counts
88 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
99.9%
(hypot.f64 x x)
17.6%
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
55.5%
(*.f64 (pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/4 binary64)))
17.6%
(sqrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))))
55.8%
(sqrt.f64 (*.f64 x (+.f64 x x)))
Compiler

Compiled 172 to 76 computations (55.8% saved)

simplify242.0ms (0%)

Memory
5.6MiB live, 316.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))
cost-diff0
(sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))))
cost-diff0
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
cost-diff1408
(sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))
cost-diff0
(+.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))))
cost-diff3712
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
cost-diff-64
(*.f64 x (+.f64 x x))
cost-diff0
(+.f64 x x)
cost-diff0
(sqrt.f64 (*.f64 x (+.f64 x x)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
cost-diff5248
(hypot.f64 x x)
Rules
5 698×accelerator-lowering-fma.f32
5 698×accelerator-lowering-fma.f64
4 958×*-lowering-*.f32
4 958×*-lowering-*.f64
2 006×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022158
142140
2139117
3830109
42533109
54231109
66918109
08291100
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(sqrt (+ (* x x) (* x x)))
x
(+ (* x (sqrt 2)) 0)
x
(sqrt 2)
2
0
(sqrt (* x (+ x x)))
(* x (+ x x))
x
(+ x x)
(sqrt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))))
(* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))
(* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))
(+ (* (* x x) (* x x)) 0)
(* x x)
x
0
(* x (+ x x))
(+ x x)
(/ 1 (+ (* (* x x) (* x x)) 0))
1
(/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (sqrt (+ (* (* x x) (* x x)) 0)))
(sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))))
(* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))
(+ (* (* x x) (* x x)) 0)
(* x x)
x
0
(* x (+ x x))
(+ x x)
(sqrt (+ (* (* x x) (* x x)) 0))
Outputs
(sqrt (+ (* x x) (* x x)))
(sqrt.f64 (fma.f64 x (+.f64 x x) #s(literal 0 binary64)))
x
(+ (* x (sqrt 2)) 0)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
x
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
0
#s(literal 0 binary64)
(sqrt (* x (+ x x)))
(sqrt.f64 (fma.f64 x (+.f64 x x) #s(literal 0 binary64)))
(* x (+ x x))
(fma.f64 x (+.f64 x x) #s(literal 0 binary64))
x
(+ x x)
(+.f64 x x)
(sqrt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))))
(sqrt.f64 (fma.f64 x (+.f64 x x) #s(literal 0 binary64)))
(* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))
(fma.f64 x (+.f64 x x) #s(literal 0 binary64))
(* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))
(fma.f64 (+.f64 x x) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* (* x x) (* x x)) 0)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(* x (+ x x))
(fma.f64 x (+.f64 x x) #s(literal 0 binary64))
(+ x x)
(+.f64 x x)
(/ 1 (+ (* (* x x) (* x x)) 0))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (sqrt (+ (* (* x x) (* x x)) 0)))
(/.f64 (sqrt.f64 (fma.f64 (+.f64 x x) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))))
(sqrt.f64 (fma.f64 (+.f64 x x) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))
(fma.f64 (+.f64 x x) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* (* x x) (* x x)) 0)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(* x (+ x x))
(fma.f64 x (+.f64 x x) #s(literal 0 binary64))
(+ x x)
(+.f64 x x)
(sqrt (+ (* (* x x) (* x x)) 0))
(fma.f64 x x #s(literal 0 binary64))

localize144.0ms (0%)

Memory
5.7MiB live, 128.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))
accuracy81.0%
(sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))))
accuracy77.8%
(sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))
accuracy40.4%
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
accuracy99.8%
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))
accuracy55.8%
(sqrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))))
accuracy24.3%
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
accuracy100.0%
(+.f64 x x)
accuracy100.0%
(*.f64 x (+.f64 x x))
accuracy55.8%
(sqrt.f64 (*.f64 x (+.f64 x x)))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.4%
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
accuracy99.9%
(hypot.f64 x x)
Samples
108.0ms256×0valid
Compiler

Compiled 212 to 23 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 13.0ms (39.9% of total)
ival-sqrt: 8.0ms (24.6% of total)
ival-hypot: 5.0ms (15.3% of total)
ival-div: 3.0ms (9.2% of total)
ival-add: 3.0ms (9.2% 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
8.2MiB live, 8.2MiB allocated
Counts
13 → 144
Calls
Call 1
Inputs
#<alt (sqrt (+ (* x x) (* x x)))>
#<alt (+ (* x (sqrt 2)) 0)>
#<alt (sqrt 2)>
#<alt (sqrt (* x (+ x x)))>
#<alt (+ x x)>
#<alt (* x (+ x x))>
#<alt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))>
#<alt (sqrt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))))>
#<alt (+ (* (* x x) (* x x)) 0)>
#<alt (sqrt (+ (* (* x x) (* x x)) 0))>
#<alt (/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (sqrt (+ (* (* x x) (* x x)) 0)))>
#<alt (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))))>
#<alt (/ 1 (+ (* (* x x) (* x 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)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* 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 (* 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 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 (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 (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 (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<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 (* (pow x 3) (sqrt 2))>
#<alt (* (pow x 3) (sqrt 2))>
#<alt (* (pow x 3) (sqrt 2))>
#<alt (* (pow x 3) (sqrt 2))>
#<alt (* (pow x 3) (sqrt 2))>
#<alt (* (pow x 3) (sqrt 2))>
#<alt (* (pow x 3) (sqrt 2))>
#<alt (* (pow x 3) (sqrt 2))>
#<alt (* -1 (* (pow x 3) (sqrt 2)))>
#<alt (* -1 (* (pow x 3) (sqrt 2)))>
#<alt (* -1 (* (pow x 3) (sqrt 2)))>
#<alt (* -1 (* (pow x 3) (sqrt 2)))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
Calls

36 calls:

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

rewrite132.0ms (0%)

Memory
-35.3MiB live, 86.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
276×*-lowering-*.f32
276×*-lowering-*.f64
212×/-lowering-/.f32
212×/-lowering-/.f64
210×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02272
111726
0116526
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
13 → 105
Calls
Call 1
Inputs
(sqrt (+ (* x x) (* x x)))
(+ (* x (sqrt 2)) 0)
(sqrt 2)
(sqrt (* x (+ x x)))
(+ x x)
(* x (+ x x))
(* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))
(sqrt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))))
(+ (* (* x x) (* x x)) 0)
(sqrt (+ (* (* x x) (* x x)) 0))
(/ (sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))) (sqrt (+ (* (* x x) (* x x)) 0)))
(sqrt (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))))
(/ 1 (+ (* (* x x) (* x x)) 0))
Outputs
#s(literal 0 binary64)
(+.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #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) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #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 (neg.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 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 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(pow.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)))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (*.f64 x x)) (fabs.f64 (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (fabs.f64 (*.f64 x x)) (fabs.f64 (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 x x))
(sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (fabs.f64 (*.f64 x x)))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 x x))))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (sqrt.f64 x))
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(pow.f64 (*.f64 x x) #s(literal -2 binary64))
(pow.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)))

simplify27.0ms (0%)

Memory
13.7MiB live, 52.7MiB allocated
Algorithm
egg-herbie
Rules
130×*-lowering-*.f32
130×*-lowering-*.f64
130×accelerator-lowering-fma.f32
130×accelerator-lowering-fma.f64
64×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017620
134620
267620
3116620
4135620
5176620
6210620
7239620
8276620
9281620
0281620
Stop Event
iter limit
saturated
Counts
144 → 144
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)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* 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))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 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 (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))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(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)))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* (pow x 3) (sqrt 2))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(* -1 (* (pow x 3) (sqrt 2)))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
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)))
(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))
(* 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))
(* 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))
(* 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))
(* 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))
(* -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 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 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))
(* 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 3) (sqrt 2))
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 3) (sqrt 2))
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 3) (sqrt 2))
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 3) (sqrt 2))
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 3) (sqrt 2))
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 3) (sqrt 2))
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 3) (sqrt 2))
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 3) (sqrt 2))
(fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 3) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 3) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 3) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))

eval41.0ms (0%)

Memory
12.4MiB live, 87.4MiB allocated
Compiler

Compiled 11 091 to 654 computations (94.1% saved)

prune46.0ms (0%)

Memory
-9.9MiB live, 72.4MiB allocated
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New4498457
Fresh101
Picked325
Done000
Total45310463
Accuracy
100.0%
Counts
463 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 x (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
99.9%
(hypot.f64 x x)
28.7%
(/.f64 (fma.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
55.5%
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #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)))
18.6%
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x)))) (fma.f64 x x #s(literal 0 binary64)))
55.5%
(*.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
17.6%
(sqrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (+.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x))))
55.8%
(sqrt.f64 (*.f64 x (+.f64 x x)))
3.8%
#s(literal 0 binary64)
Compiler

Compiled 257 to 136 computations (47.1% saved)

simplify355.0ms (0%)

Memory
22.3MiB live, 462.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(fma.f64 x (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
cost-diff12544
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
cost-diff384
(/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
cost-diff1408
(*.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
cost-diff1600
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
cost-diff1472
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #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)))
cost-diff1600
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
cost-diff-64
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
Rules
6 684×accelerator-lowering-fma.f32
6 684×accelerator-lowering-fma.f64
6 456×*-lowering-*.f32
6 456×*-lowering-*.f64
1 928×swap-sqr
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02090
14390
212574
346874
4209273
5304872
6389772
7522872
8653072
0808772
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (sqrt 2) x)
(sqrt 2)
2
x
0
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (+ (* x (sqrt 2)) 0))
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0)
x
(* (sqrt 2) (+ (* x (sqrt 2)) 0))
(sqrt 2)
2
(+ (* x (sqrt 2)) 0)
0
(* (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (/ 1 (+ (* x (sqrt 2)) 0)))
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0)
x
(* (sqrt 2) (+ (* x (sqrt 2)) 0))
(sqrt 2)
2
(+ (* x (sqrt 2)) 0)
0
(/ 1 (+ (* x (sqrt 2)) 0))
1
(+ (* x (exp (* (log 2) 1/2))) 0)
x
(exp (* (log 2) 1/2))
(* (log 2) 1/2)
(log 2)
2
1/2
0
Outputs
(* (sqrt 2) x)
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
x
0
#s(literal 0 binary64)
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (+ (* x (sqrt 2)) 0))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0)
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* (sqrt 2) (+ (* x (sqrt 2)) 0))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* x (sqrt 2)) 0)
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (/ 1 (+ (* x (sqrt 2)) 0)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0)
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* (sqrt 2) (+ (* x (sqrt 2)) 0))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* x (sqrt 2)) 0)
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
0
#s(literal 0 binary64)
(/ 1 (+ (* x (sqrt 2)) 0))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ (* x (exp (* (log 2) 1/2))) 0)
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
x
(exp (* (log 2) 1/2))
(sqrt.f64 #s(literal 2 binary64))
(* (log 2) 1/2)
(fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
0
#s(literal 0 binary64)

localize137.0ms (0%)

Memory
-27.6MiB live, 129.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
accuracy100.0%
(log.f64 #s(literal 2 binary64))
accuracy99.4%
(fma.f64 x (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
accuracy98.4%
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
accuracy99.4%
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
accuracy55.6%
(*.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.4%
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
accuracy55.5%
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #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)))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Samples
42.0ms256×0valid
Compiler

Compiled 136 to 22 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 10.0ms (33.5% of total)
ival-div: 8.0ms (26.8% of total)
ival-add: 3.0ms (10.1% of total)
ival-exp: 3.0ms (10.1% of total)
ival-log: 3.0ms (10.1% of total)
ival-sqrt: 2.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
12 → 96
Calls
Call 1
Inputs
#<alt (sqrt 2)>
#<alt (* (sqrt 2) x)>
#<alt (* (sqrt 2) (+ (* x (sqrt 2)) 0))>
#<alt (/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (+ (* x (sqrt 2)) 0))>
#<alt (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0)>
#<alt (* (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (/ 1 (+ (* x (sqrt 2)) 0)))>
#<alt (/ 1 (+ (* x (sqrt 2)) 0))>
#<alt (exp (* (log 2) 1/2))>
#<alt (+ (* x (exp (* (log 2) 1/2))) 0)>
#<alt (log 2)>
#<alt (* (log 2) 1/2)>
#<alt (+ (* x (sqrt 2)) 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 (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 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 (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 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 (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* 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 (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (sqrt 2) (+ (* x (sqrt 2)) 0))
0.0ms
x
@0
(/ 1 (+ (* x (sqrt 2)) 0))
0.0ms
x
@inf
(/ 1 (+ (* x (sqrt 2)) 0))
0.0ms
x
@inf
(* (sqrt 2) (+ (* x (sqrt 2)) 0))
0.0ms
x
@-inf
(/ 1 (+ (* x (sqrt 2)) 0))

rewrite589.0ms (0%)

Memory
27.5MiB live, 1 174.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 020×*-lowering-*.f32
4 020×*-lowering-*.f64
3 742×accelerator-lowering-fma.f32
3 742×accelerator-lowering-fma.f64
2 942×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02052
19749
269943
3768043
0900543
Stop Event
iter limit
node limit
Counts
12 → 3 749
Calls
Call 1
Inputs
(sqrt 2)
(* (sqrt 2) x)
(* (sqrt 2) (+ (* x (sqrt 2)) 0))
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (+ (* x (sqrt 2)) 0))
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0)
(* (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (/ 1 (+ (* x (sqrt 2)) 0)))
(/ 1 (+ (* x (sqrt 2)) 0))
(exp (* (log 2) 1/2))
(+ (* x (exp (* (log 2) 1/2))) 0)
(log 2)
(* (log 2) 1/2)
(+ (* x (sqrt 2)) 0)
Outputs
(+.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 0 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.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 x (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) x) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (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 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.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)))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64))) x #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))
(neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) x))
(neg.f64 (/.f64 (fma.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 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 x (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) (*.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)))
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(*.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 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)) x))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fma.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 (-.f64 #s(literal 0 binary64) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 x (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))) (*.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 x x)) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64))) (-.f64 #s(literal 0 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 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64))) (-.f64 #s(literal 0 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 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))

simplify113.0ms (0%)

Memory
-4.4MiB live, 113.0MiB allocated
Algorithm
egg-herbie
Rules
36×*-lowering-*.f32
36×*-lowering-*.f64
12×associate-*r*
10×*-commutative
10×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010480
119408
233408
339408
039408
Stop Event
iter limit
saturated
Counts
96 → 96
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))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 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))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 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)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* 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))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
Outputs
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* (pow x 2) (pow (sqrt 2) 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (pow (sqrt 2) 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (pow (sqrt 2) 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (pow (sqrt 2) 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (pow (sqrt 2) 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (pow (sqrt 2) 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (pow (sqrt 2) 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (pow (sqrt 2) 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (pow (sqrt 2) 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (pow (sqrt 2) 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (pow (sqrt 2) 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (pow (sqrt 2) 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* x (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* x (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* x (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* x (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* x (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* x (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* x (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* x (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* x (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* x (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* x (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (* x (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))

eval1.3s (0.1%)

Memory
106.0MiB live, 1 817.7MiB allocated
Compiler

Compiled 198 786 to 9 120 computations (95.4% saved)

prune816.0ms (0%)

Memory
-40.0MiB live, 1 590.0MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New6 77936 782
Fresh303
Picked325
Done022
Total6 78576 792
Accuracy
100.0%
Counts
6 792 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(hypot.f64 x x)
51.8%
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))))
99.3%
(/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
99.3%
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
55.8%
(sqrt.f64 (*.f64 x (+.f64 x x)))
3.8%
#s(literal 0 binary64)
Compiler

Compiled 56 to 35 computations (37.5% saved)

simplify190.0ms (0%)

Memory
6.3MiB live, 330.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff384
(/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
cost-diff1024
(*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
cost-diff1472
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))))
cost-diff1600
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
cost-diff-64
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(/.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)) x)
cost-diff1024
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
Rules
5 514×*-lowering-*.f32
5 514×*-lowering-*.f64
2 262×/-lowering-/.f32
2 262×/-lowering-/.f64
1 660×cube-div
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02081
14981
214173
373973
4314763
5448463
6516263
7682063
8753963
0807963
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 2 (/ (sqrt 2) x))
2
(/ (sqrt 2) x)
(sqrt 2)
x
(/ x (* (sqrt 2) 1/2))
x
(* (sqrt 2) 1/2)
(sqrt 2)
2
1/2
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (* (* x x) (/ 2 (+ (* (sqrt 2) x) 0))))
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0)
x
(* (sqrt 2) (+ (* x (sqrt 2)) 0))
(sqrt 2)
2
(+ (* x (sqrt 2)) 0)
0
(* (* x x) (/ 2 (+ (* (sqrt 2) x) 0)))
(* x x)
(/ 2 (+ (* (sqrt 2) x) 0))
(+ (* (sqrt 2) x) 0)
Outputs
(/ 2 (/ (sqrt 2) x))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
2
#s(literal 2 binary64)
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
x
(/ x (* (sqrt 2) 1/2))
(/.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)))
x
(* (sqrt 2) 1/2)
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (* (* x x) (/ 2 (+ (* (sqrt 2) x) 0))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0)
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* (sqrt 2) (+ (* x (sqrt 2)) 0))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* x (sqrt 2)) 0)
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* (* x x) (/ 2 (+ (* (sqrt 2) x) 0)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(/ 2 (+ (* (sqrt 2) x) 0))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(+ (* (sqrt 2) x) 0)
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))

localize82.0ms (0%)

Memory
-16.8MiB live, 99.8MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
accuracy55.6%
(*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
accuracy55.5%
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))))
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%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.6%
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy99.4%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Samples
34.0ms256×0valid
Compiler

Compiled 109 to 22 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (39.4% of total)
ival-div: 8.0ms (35% of total)
ival-add: 3.0ms (13.1% of total)
ival-sqrt: 2.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
10 → 96
Calls
Call 1
Inputs
#<alt (/ 2 (/ (sqrt 2) x))>
#<alt (/ (sqrt 2) x)>
#<alt (sqrt 2)>
#<alt (/ x (* (sqrt 2) 1/2))>
#<alt (* (sqrt 2) 1/2)>
#<alt (* (sqrt 2) (+ (* x (sqrt 2)) 0))>
#<alt (/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (* (* x x) (/ 2 (+ (* (sqrt 2) x) 0))))>
#<alt (* (* x x) (/ 2 (+ (* (sqrt 2) x) 0)))>
#<alt (/ 2 (+ (* (sqrt 2) x) 0))>
#<alt (+ (* x (sqrt 2)) 0)>
Outputs
#<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 (/ (sqrt 2) x)>
#<alt (/ (sqrt 2) x)>
#<alt (/ (sqrt 2) x)>
#<alt (/ (sqrt 2) x)>
#<alt (/ (sqrt 2) x)>
#<alt (/ (sqrt 2) x)>
#<alt (/ (sqrt 2) x)>
#<alt (/ (sqrt 2) x)>
#<alt (/ (sqrt 2) x)>
#<alt (/ (sqrt 2) x)>
#<alt (/ (sqrt 2) x)>
#<alt (/ (sqrt 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 (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))>
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))>
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))>
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))>
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))>
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))>
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))>
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))>
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))>
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))>
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))>
#<alt (* 1/2 (* x (pow (sqrt 2) 3)))>
#<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 (* 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

24 calls:

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

rewrite564.0ms (0%)

Memory
27.1MiB live, 1 072.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 176×accelerator-lowering-fma.f32
5 176×accelerator-lowering-fma.f64
3 904×*-lowering-*.f32
3 904×*-lowering-*.f64
3 486×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02051
113051
290836
0893636
Stop Event
iter limit
node limit
Counts
10 → 3 921
Calls
Call 1
Inputs
(/ 2 (/ (sqrt 2) x))
(/ (sqrt 2) x)
(sqrt 2)
(/ x (* (sqrt 2) 1/2))
(* (sqrt 2) 1/2)
(* (sqrt 2) (+ (* x (sqrt 2)) 0))
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (* (* x x) (/ 2 (+ (* (sqrt 2) x) 0))))
(* (* x x) (/ 2 (+ (* (sqrt 2) x) 0)))
(/ 2 (+ (* (sqrt 2) x) 0))
(+ (* x (sqrt 2)) 0)
Outputs
(+.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))
(+.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (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)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))))
(+.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(-.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) 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))) #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 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #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 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))))
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simplify27.9min (99.7%)

Memory
-14.8MiB live, 25.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
015528
129492
258492
395372
4115372
5861372
62430372
72609372
82732372
92908372
103125372
113377372
123683372
Stop Event
node limit

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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