sqrt D (should all be same)

Time bar (total: 11.5s)

analyze0.0ms (0%)

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

Compiled 8 to 7 computations (12.5% saved)

sample650.0ms (5.6%)

Memory
-2.2MiB live, 746.2MiB allocated
Samples
460.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-pow2: 90.0ms (41.9% of total)
ival-mult: 57.0ms (26.5% of total)
ival-sqrt: 56.0ms (26% of total)
ival-true: 6.0ms (2.8% of total)
exact: 4.0ms (1.9% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

preprocess13.0ms (0.1%)

Memory
23.5MiB live, 23.5MiB allocated
Algorithm
egg-herbie
Rules
70×associate-*r*
46×associate-*l*
38×distribute-rgt-neg-out
38×unsub-neg
34×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
11513
23413
312313
424613
527013
628013
056
176
2116
3126
0126
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(sqrt (* 2 (pow x 2)))
Outputs
(sqrt (* 2 (pow x 2)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))

explain76.0ms (0.7%)

Memory
-20.7MiB live, 100.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-1(-1.1434135325736018e-156)(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
00-0-(pow.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))oflow-rescue760
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))overflow76
(pow.f64 x #s(literal 2 binary64))overflow76
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))uflow-rescue500
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))underflow50
(pow.f64 x #s(literal 2 binary64))underflow50
Confusion
Predicted +Predicted -
+1261
-0129
Precision
1.0
Recall
0.9921259842519685
Confusion?
Predicted +Predicted MaybePredicted -
+12601
-00129
Precision?
1.0
Recall?
0.9921259842519685
Freqs
test
numberfreq
0130
1126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
Compiler

Compiled 50 to 24 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 16.0ms (60.6% of total)
ival-pow2: 6.0ms (22.7% of total)
ival-sqrt: 4.0ms (15.1% 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
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize168.0ms (1.5%)

Memory
-7.1MiB live, 31.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy54.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Samples
162.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-sqrt: 151.0ms (96.8% of total)
ival-pow2: 3.0ms (1.9% of total)
ival-mult: 2.0ms (1.3% 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
4.0MiB live, 4.0MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (pow x 2)>
#<alt (sqrt (* 2 (pow x 2)))>
#<alt (* 2 (pow x 2))>
Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
Calls

9 calls:

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

rewrite287.0ms (2.5%)

Memory
13.4MiB live, 206.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 310×*-lowering-*.f32
2 310×*-lowering-*.f64
2 014×/-lowering-/.f32
2 014×/-lowering-/.f64
1 182×frac-times
Iterations

Useful iterations: 4 (0.0ms)

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

simplify9.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Algorithm
egg-herbie
Rules
38×*-lowering-*.f32
38×*-lowering-*.f64
38×accelerator-lowering-fma.f32
38×accelerator-lowering-fma.f64
36×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval11.0ms (0.1%)

Memory
-14.2MiB live, 22.6MiB allocated
Compiler

Compiled 563 to 121 computations (78.5% saved)

prune11.0ms (0.1%)

Memory
-35.8MiB live, 19.9MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New78482
Fresh000
Picked101
Done000
Total79483
Accuracy
99.6%
Counts
83 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
54.1%
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
5.4%
(sqrt.f64 #s(literal 2 binary64))
55.4%
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 21 to 17 computations (19% saved)

simplify6.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 2 binary64)))
cost-diff0
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
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
0840
12140
23140
34140
45340
56540
67640
79640
810140
010140
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(neg (* x (sqrt 2)))
(* x (sqrt 2))
x
(sqrt 2)
2
(sqrt 2)
2
(sqrt (* x (* x 2)))
(* x (* x 2))
x
(* x 2)
2
(* x (sqrt 2))
x
(sqrt 2)
2
Outputs
(neg (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
x
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(sqrt (* x (* x 2)))
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
(* x (* x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
x
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
x
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize34.0ms (0.3%)

Memory
27.5MiB live, 66.1MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.3%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x (*.f64 x #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
accuracy54.1%
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy100.0%
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
accuracy99.3%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 42 to 10 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (49.4% of total)
ival-sqrt: 4.0ms (39.5% of total)
ival-neg: 1.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
-32.2MiB live, 4.5MiB allocated
Counts
6 → 60
Calls
Call 1
Inputs
#<alt (neg (* x (sqrt 2)))>
#<alt (* x (sqrt 2))>
#<alt (sqrt 2)>
#<alt (sqrt (* x (* x 2)))>
#<alt (* x (* x 2))>
#<alt (* x 2)>
Outputs
#<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 (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<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)>
Calls

15 calls:

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

rewrite255.0ms (2.2%)

Memory
29.4MiB live, 346.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 440×accelerator-lowering-fma.f32
2 440×accelerator-lowering-fma.f64
1 988×*-lowering-*.f32
1 988×*-lowering-*.f64
1 258×pow-lowering-pow.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0825
12725
27325
331825
4315622
0843322
Stop Event
iter limit
node limit
Counts
6 → 1 058
Calls
Call 1
Inputs
(neg (* x (sqrt 2)))
(* x (sqrt 2))
(sqrt 2)
(sqrt (* x (* x 2)))
(* x (* x 2))
(* x 2)
Outputs
(+.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) x))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(exp.f64 (fma.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (fma.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))))
(-.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.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 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (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 (neg.f64 x) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (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 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) x) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) (*.f64 x x) #s(literal 0 binary64))
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(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) x #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) x #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(neg.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) (*.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x #s(literal 2 binary64))) x)
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 x (neg.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (*.f64 x #s(literal 2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 1 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)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (neg.f64 (*.f64 x x)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) x)
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.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 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (neg.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x 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 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (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))
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))

simplify18.0ms (0.2%)

Memory
1.5MiB live, 40.2MiB 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
09256
117256
232256
336256
440256
552256
664256
775256
895256
9100256
0100256
Stop Event
iter limit
saturated
Counts
60 → 60
Calls
Call 1
Inputs
(* -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))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* 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)))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval166.0ms (1.4%)

Memory
18.9MiB live, 329.5MiB allocated
Compiler

Compiled 19 480 to 1 240 computations (93.6% saved)

prune115.0ms (1%)

Memory
-5.5MiB live, 268.0MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1 45951 464
Fresh000
Picked044
Done000
Total1 45991 468
Accuracy
100.0%
Counts
1 468 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.4%
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
55.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
45.9%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
45.8%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
45.9%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
54.1%
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
5.4%
(sqrt.f64 #s(literal 2 binary64))
45.9%
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
55.4%
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify48.0ms (0.4%)

Memory
-12.7MiB live, 65.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
cost-diff1408
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 x #s(literal -2 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff128
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 x #s(literal -2 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
Rules
320×*-lowering-*.f32
320×*-lowering-*.f64
320×accelerator-lowering-fma.f32
320×accelerator-lowering-fma.f64
256×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01595
13688
27688
315188
433788
564288
695288
7106388
8107588
9107788
0107788
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* x -2) (sqrt 2))
(* x -2)
x
-2
(sqrt 2)
2
(* (/ 2 (sqrt 2)) x)
(/ 2 (sqrt 2))
2
(sqrt 2)
x
(neg (/ (* x -2) (sqrt 2)))
(/ (* x -2) (sqrt 2))
(* x -2)
x
-2
(sqrt 2)
2
(/ -1 (/ -1 (* x (sqrt 2))))
-1
(/ -1 (* x (sqrt 2)))
(* x (sqrt 2))
x
(sqrt 2)
2
(/ 1 (/ -1 (* x (sqrt 2))))
1
(/ -1 (* x (sqrt 2)))
-1
(* x (sqrt 2))
x
(sqrt 2)
2
Outputs
(/ (* x -2) (sqrt 2))
(*.f64 x (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* x -2)
(*.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (/ 2 (sqrt 2)) x)
(*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/ 2 (sqrt 2))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
x
(neg (/ (* x -2) (sqrt 2)))
(*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/ (* x -2) (sqrt 2))
(*.f64 x (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* x -2)
(*.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ -1 (/ -1 (* x (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
-1
#s(literal -1 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)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (/ -1 (* x (sqrt 2))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ -1 (* x (sqrt 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
-1
#s(literal -1 binary64)
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
x
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize64.0ms (0.6%)

Memory
-22.8MiB live, 157.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
accuracy99.7%
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
accuracy99.3%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.7%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
accuracy99.7%
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
accuracy99.3%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x #s(literal -2 binary64))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy100.0%
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy99.3%
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.3%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
accuracy98.4%
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x #s(literal -2 binary64))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.3%
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
Samples
30.0ms256×0valid
Compiler

Compiled 98 to 17 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 8.0ms (45.9% of total)
ival-mult: 5.0ms (28.7% of total)
ival-sqrt: 2.0ms (11.5% of total)
ival-assert: 1.0ms (5.7% of total)
ival-neg: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
10 → 96
Calls
Call 1
Inputs
#<alt (/ (* x -2) (sqrt 2))>
#<alt (* x -2)>
#<alt (sqrt 2)>
#<alt (* (/ 2 (sqrt 2)) x)>
#<alt (/ 2 (sqrt 2))>
#<alt (neg (/ (* x -2) (sqrt 2)))>
#<alt (/ -1 (/ -1 (* x (sqrt 2))))>
#<alt (/ -1 (* x (sqrt 2)))>
#<alt (* x (sqrt 2))>
#<alt (/ 1 (/ -1 (* x (sqrt 2))))>
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 (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (/ -1 (* 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 (* -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)))>
Calls

24 calls:

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

rewrite437.0ms (3.8%)

Memory
1.5MiB live, 721.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 982×*-lowering-*.f32
2 982×*-lowering-*.f64
2 628×accelerator-lowering-fma.f32
2 628×accelerator-lowering-fma.f64
2 268×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01549
16649
228843
3144136
4758136
0890436
Stop Event
iter limit
node limit
Counts
10 → 3 613
Calls
Call 1
Inputs
(/ (* x -2) (sqrt 2))
(* x -2)
(sqrt 2)
(* (/ 2 (sqrt 2)) x)
(/ 2 (sqrt 2))
(neg (/ (* x -2) (sqrt 2)))
(/ -1 (/ -1 (* x (sqrt 2))))
(/ -1 (* x (sqrt 2)))
(* x (sqrt 2))
(/ 1 (/ -1 (* x (sqrt 2))))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64) (neg.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 x (/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal 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))) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (pow.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 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))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
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(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (*.f64 x (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))) (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))

simplify45.0ms (0.4%)

Memory
13.4MiB live, 90.9MiB allocated
Algorithm
egg-herbie
Rules
48×*-lowering-*.f32
48×*-lowering-*.f64
48×accelerator-lowering-fma.f32
48×accelerator-lowering-fma.f64
44×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012480
125480
244480
351480
456480
568480
680480
791480
8119480
9131480
10132480
0132480
Stop Event
iter limit
saturated
Counts
96 → 96
Calls
Call 1
Inputs
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 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))
(* -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)))
Outputs
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 (/ x (sqrt 2)))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (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)))
(/ -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)))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

eval1.0s (9%)

Memory
48.1MiB live, 1 303.7MiB allocated
Compiler

Compiled 75 520 to 5 329 computations (92.9% saved)

prune501.0ms (4.3%)

Memory
-7.4MiB live, 1 030.1MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New5 58935 592
Fresh000
Picked415
Done044
Total5 59385 601
Accuracy
100.0%
Counts
5 601 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
55.4%
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
45.9%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
55.4%
(/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
45.9%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
54.1%
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
5.4%
(sqrt.f64 #s(literal 2 binary64))
55.4%
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 49 to 40 computations (18.4% saved)

simplify8.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff1088
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff384
(/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
Rules
104×*-lowering-*.f32
104×*-lowering-*.f64
62×/-lowering-/.f32
62×/-lowering-/.f64
44×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01142
12040
22940
34740
46440
58540
611640
713940
814240
915040
1015140
015140
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ -2 (/ (sqrt 2) x))
-2
(/ (sqrt 2) x)
(sqrt 2)
2
x
(/ (sqrt 2) (/ 1 x))
(sqrt 2)
2
(/ 1 x)
1
x
(/ (* x 2) (sqrt 2))
(* x 2)
x
2
(sqrt 2)
Outputs
(/ -2 (/ (sqrt 2) x))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 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))
2
#s(literal 2 binary64)
x
(/ (sqrt 2) (/ 1 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ (* x 2) (sqrt 2))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* x 2)
(*.f64 #s(literal 2 binary64) x)
x
2
#s(literal 2 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))

localize72.0ms (0.6%)

Memory
-31.0MiB live, 53.2MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.3%
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.3%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.7%
(/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy99.3%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Samples
56.0ms256×0valid
Compiler

Compiled 44 to 13 computations (70.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 8.0ms (65.4% of total)
ival-sqrt: 2.0ms (16.3% of total)
ival-mult: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Counts
7 → 72
Calls
Call 1
Inputs
#<alt (/ -2 (/ (sqrt 2) x))>
#<alt (/ (sqrt 2) x)>
#<alt (sqrt 2)>
#<alt (/ (sqrt 2) (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (* x 2) (sqrt 2))>
#<alt (* x 2)>
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 (* 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)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 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 (* 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)>
Calls

18 calls:

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

rewrite248.0ms (2.1%)

Memory
10.7MiB live, 321.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 544×*-lowering-*.f32
2 544×*-lowering-*.f64
1 884×/-lowering-/.f32
1 884×/-lowering-/.f64
1 732×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01130
15426
224526
3130625
4645625
0827125
Stop Event
iter limit
node limit
Counts
7 → 751
Calls
Call 1
Inputs
(/ -2 (/ (sqrt 2) x))
(/ (sqrt 2) x)
(sqrt 2)
(/ (sqrt 2) (/ 1 x))
(/ 1 x)
(/ (* x 2) (sqrt 2))
(* x 2)
Outputs
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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)) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal -2 binary64) (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 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) 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 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal -2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 #s(literal -2 binary64) x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (neg.f64 x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) 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 (neg.f64 x) (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.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 #s(literal -2 binary64) (*.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 #s(literal -2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)
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(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -2 binary64)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -2 binary64)) x)
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) x))

simplify14.0ms (0.1%)

Memory
-7.0MiB live, 31.7MiB allocated
Algorithm
egg-herbie
Rules
28×*-lowering-*.f32
28×*-lowering-*.f64
14×*-commutative
14×/-lowering-/.f32
14×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012312
121312
225312
328312
429312
029312
Stop Event
iter limit
saturated
Counts
72 → 72
Calls
Call 1
Inputs
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(/ (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)
(* 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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (sqrt 2) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 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)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval351.0ms (3%)

Memory
3.2MiB live, 227.2MiB allocated
Compiler

Compiled 11 237 to 1 538 computations (86.3% saved)

prune106.0ms (0.9%)

Memory
-9.8MiB live, 199.4MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New9730973
Fresh000
Picked033
Done055
Total9738981
Accuracy
100.0%
Counts
981 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
55.4%
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
45.9%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
55.4%
(/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
45.9%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
54.1%
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
5.4%
(sqrt.f64 #s(literal 2 binary64))
55.4%
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 126 to 67 computations (46.8% saved)

regimes19.0ms (0.2%)

Memory
-1.2MiB live, 36.7MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Outputs
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Calls

4 calls:

6.0ms
x
4.0ms
(pow.f64 x #s(literal 2 binary64))
4.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
4.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.4%2x
79.9%3(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
79.9%3(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
79.9%3(pow.f64 x #s(literal 2 binary64))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
Outputs
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory
22.3MiB live, 22.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Outputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Calls

4 calls:

2.0ms
x
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
1.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
1.0ms
(pow.f64 x #s(literal 2 binary64))
Results
AccuracySegmentsBranch
45.9%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
45.9%1(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
45.9%1(pow.f64 x #s(literal 2 binary64))
48.2%2x
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.1%)

Memory
-18.7MiB live, 20.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
Outputs
(sqrt.f64 #s(literal 2 binary64))
Calls

4 calls:

2.0ms
(pow.f64 x #s(literal 2 binary64))
1.0ms
x
1.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
5.4%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
5.4%1(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
5.4%1(pow.f64 x #s(literal 2 binary64))
5.4%1x
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch15.0ms (0.1%)

Memory
-11.6MiB live, 26.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-2.719997322683207e-293
7.918877166043363e-307
Samples
7.0ms160×0valid
Compiler

Compiled 150 to 129 computations (14% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-pow2: 2.0ms (48.6% of total)
ival-mult: 1.0ms (24.3% of total)
ival-sqrt: 1.0ms (24.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-2.719997322683207e-293
7.918877166043363e-307
Samples
7.0ms160×0valid
Compiler

Compiled 140 to 119 computations (15% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-pow2: 2.0ms (49.4% of total)
ival-mult: 1.0ms (24.7% of total)
ival-sqrt: 1.0ms (24.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-9.869455712697528e-203
-4.4275499887242545e-209
Samples
6.0ms144×0valid
Compiler

Compiled 100 to 90 computations (10% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-pow2: 2.0ms (55.7% of total)
ival-mult: 1.0ms (27.9% of total)
ival-sqrt: 1.0ms (27.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory
-26.2MiB live, 14.2MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01539
12539
23439
33939
44139
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
Outputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))

soundness6.6s (57.5%)

Memory
84.6MiB live, 314.3MiB allocated
Rules
2 440×accelerator-lowering-fma.f32
2 440×accelerator-lowering-fma.f64
2 310×*-lowering-*.f32
2 310×*-lowering-*.f64
2 014×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0825
12725
27325
331825
4315622
0843322
08148
115148
232148
338148
442148
554148
666148
777148
897148
9102148
0102148
0514
11912
25412
318412
47704
561584
090124
Stop Event
done
iter limit
node limit
iter limit
saturated
iter limit
node limit
Compiler

Compiled 74 to 43 computations (41.9% saved)

preprocess46.0ms (0.4%)

Memory
-85.2MiB live, 91.0MiB allocated
Compiler

Compiled 94 to 40 computations (57.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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