sqrt D (should all be same)

Time bar (total: 13.7s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×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)

sample632.0ms (4.6%)

Memory
5.7MiB live, 707.6MiB allocated
Samples
429.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 273.0ms
ival-mult: 112.0ms (41% of total)
ival-pow2: 86.0ms (31.5% of total)
ival-sqrt: 64.0ms (23.5% of total)
ival-true: 4.0ms (1.5% of total)
exact: 4.0ms (1.5% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

preprocess14.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Algorithm
2×egg-herbie
Rules
60×associate-*r*
36×unsub-neg
34×associate-*l*
30×distribute-rgt-neg-out
26×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

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

(abs x)

explain65.0ms (0.5%)

Memory
-29.7MiB live, 134.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-1(1.489304771835313e-161)(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
00-0-(pow.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))oflow-rescue700
↳(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))overflow70
↳(pow.f64 x #s(literal 2 binary64))overflow70
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))uflow-rescue610
↳(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))underflow61
↳(pow.f64 x #s(literal 2 binary64))underflow61
Confusion
Predicted +Predicted -
+1311
-0124
Precision
1.0
Recall
0.9924242424242424
Confusion?
Predicted +Predicted MaybePredicted -
+13101
-00124
Precision?
1.0
Recall?
0.9924242424242424
Freqs
test
numberfreq
0125
1131
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms512×0valid
Compiler

Compiled 50 to 24 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-pow2: 6.0ms (46.1% of total)
ival-mult: 3.0ms (23.1% of total)
ival-sqrt: 3.0ms (23.1% 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Algorithm
1×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
6×*-commutative
2×sqrt-lowering-sqrt.f64
2×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

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

localize20.0ms (0.1%)

Memory
-1.0MiB live, 41.8MiB 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)))
✓accuracy51.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Samples
11.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-pow2: 3.0ms (49.5% of total)
ival-sqrt: 2.0ms (33% of total)
ival-mult: 1.0ms (16.5% 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
5.3MiB live, 5.3MiB 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
(sqrt (* 2 (pow x 2)))
0.0ms
x
@0
(pow x 2)
0.0ms
x
@inf
(pow x 2)

rewrite249.0ms (1.8%)

Memory
14.5MiB live, 208.9MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
Counts
3 → 46
Calls
Call 1
Inputs
(pow x 2)
(sqrt (* 2 (pow x 2)))
(* 2 (pow x 2))
Outputs
#s(literal 1 binary64)
x
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)))))
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/2 binary64)))))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (E.f64) (E.f64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (E.f64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (E.f64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (E.f64)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) #s(literal 8 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (E.f64))) (log.f64 #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 (sqrt.f64 (E.f64))) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) #s(literal 1 binary64)))
#s(literal 2 binary64)

simplify11.0ms (0.1%)

Memory
-16.6MiB live, 20.9MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
Counts
36 → 36
Calls
Call 1
Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
Outputs
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(* -1 (* x (sqrt 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(* -1 (* x (sqrt 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(* -1 (* x (sqrt 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))

eval9.0ms (0.1%)

Memory
23.0MiB live, 23.0MiB allocated
Compiler

Compiled 625 to 121 computations (80.6% saved)

prune9.0ms (0.1%)

Memory
-17.2MiB live, 20.3MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New78482
Fresh000
Picked101
Done000
Total79483
Accuracy
99.6%
Counts
83 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
▶51.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))))
▶7.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
▶5.4%
(sqrt.f64 #s(literal 2 binary64))
Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify4.0ms (0%)

Memory
10.2MiB live, 10.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize42.0ms (0.3%)

Memory
-18.5MiB live, 73.0MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.2%
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓accuracy51.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
Samples
28.0ms256×0valid
Compiler

Compiled 44 to 14 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 12.0ms (62.9% of total)
ival-sqrt: 5.0ms (26.2% of total)
ival-add: 2.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
7 → 72
Calls
Call 1
Inputs
#<alt (sqrt 2)>
#<alt (sqrt (* 2 x))>
#<alt (* 2 x)>
#<alt (sqrt (* 2 (+ (* x x) 0)))>
#<alt (+ (* x x) 0)>
#<alt (* 2 (+ (* x x) 0))>
#<alt (+ (* x (sqrt 2)) 0)>
Outputs
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
Calls

18 calls:

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

rewrite333.0ms (2.4%)

Memory
-2.0MiB live, 427.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 302×accelerator-lowering-fma.f32
3 302×accelerator-lowering-fma.f64
2 214×*-lowering-*.f32
2 214×*-lowering-*.f64
1 732×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

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

simplify27.0ms (0.2%)

Memory
-0.5MiB live, 38.2MiB allocated
Algorithm
1×egg-herbie
Rules
142×*-lowering-*.f32
142×*-lowering-*.f64
142×accelerator-lowering-fma.f32
142×accelerator-lowering-fma.f64
96×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval111.0ms (0.8%)

Memory
27.3MiB live, 263.2MiB allocated
Compiler

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

prune85.0ms (0.6%)

Memory
-17.5MiB live, 218.9MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New9705975
Fresh000
Picked314
Done000
Total9736979
Accuracy
100.0%
Counts
979 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
▶99.1%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
▶99.5%
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (sqrt.f64 x))
▶99.2%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶51.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
✓5.4%
(sqrt.f64 #s(literal 2 binary64))
Compiler

Compiled 79 to 61 computations (22.8% saved)

simplify9.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize62.0ms (0.4%)

Memory
1.0MiB live, 117.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.3%
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.2%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
✓accuracy98.4%
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x x))
✓accuracy51.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.2%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
✓accuracy100.0%
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.5%
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (sqrt.f64 x))
Samples
38.0ms256×0valid
Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 11.0ms (50.4% of total)
ival-sqrt: 6.0ms (27.5% of total)
ival-div: 3.0ms (13.8% of total)
ival-add: 1.0ms (4.6% 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
9.3MiB live, 9.3MiB allocated
Counts
13 → 132
Calls
Call 1
Inputs
#<alt (* (sqrt (+ (* 2 x) 0)) (sqrt x))>
#<alt (sqrt (+ (* 2 x) 0))>
#<alt (+ (* 2 x) 0)>
#<alt (sqrt x)>
#<alt (* (sqrt 2) x)>
#<alt (sqrt 2)>
#<alt (sqrt (* 2 (* x x)))>
#<alt (* x x)>
#<alt (* 2 (* x x))>
#<alt (/ 2 (sqrt 2))>
#<alt (* (/ 2 (sqrt 2)) x)>
#<alt (* (/ (+ (* 2 x) 0) (sqrt 2)) 1)>
#<alt (/ (+ (* 2 x) 0) (sqrt 2))>
Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
Calls

33 calls:

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

rewrite489.0ms (3.6%)

Memory
-4.6MiB live, 992.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 322×accelerator-lowering-fma.f32
3 322×accelerator-lowering-fma.f64
2 848×*-lowering-*.f32
2 848×*-lowering-*.f64
1 812×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

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

simplify333.0ms (2.4%)

Memory
5.7MiB live, 310.1MiB allocated
Algorithm
1×egg-herbie
Rules
3 800×accelerator-lowering-fma.f32
3 800×accelerator-lowering-fma.f64
2 140×*-lowering-*.f32
2 140×*-lowering-*.f64
1 190×div-sub
Iterations

Useful iterations: 27 (0.0ms)

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

eval783.0ms (5.7%)

Memory
70.2MiB live, 1 003.8MiB allocated
Compiler

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

prune231.0ms (1.7%)

Memory
9.9MiB live, 652.4MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3 70633 709
Fresh000
Picked325
Done011
Total3 70963 715
Accuracy
100.0%
Counts
3 715 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
▶99.3%
(/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
▶99.5%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓99.2%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓51.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
✓5.4%
(sqrt.f64 #s(literal 2 binary64))
Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify206.0ms (1.5%)

Memory
-0.4MiB live, 307.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓cost-diff1408
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Rules
6 188×*-lowering-*.f32
6 188×*-lowering-*.f64
5 246×associate-/r/
4 610×*-commutative
2 758×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01253
12151
23549
35649
418049
559349
6222649
7241549
8241549
9345449
10424949
11425149
12425149
13531749
14531749
15665049
16763849
17794349
18794349
0888149
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sqrt (* x 2)) (sqrt x))
(sqrt (* x 2))
(* x 2)
x
2
(sqrt x)
(/ x (* (sqrt 2) 1/2))
x
(* (sqrt 2) 1/2)
(sqrt 2)
2
1/2
(/ (* (sqrt 2) 1/2) (/ 1/2 x))
(* (sqrt 2) 1/2)
(sqrt 2)
2
1/2
(/ 1/2 x)
x
Outputs
(* (sqrt (* x 2)) (sqrt x))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt (* x 2))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(sqrt x)
(sqrt.f64 x)
(/ x (* (sqrt 2) 1/2))
(/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
x
(* (sqrt 2) 1/2)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(/ (* (sqrt 2) 1/2) (/ 1/2 x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt 2) 1/2)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
x

localize59.0ms (0.4%)

Memory
-52.0MiB live, 124.7MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.3%
(/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Samples
30.0ms256×0valid
Compiler

Compiled 55 to 14 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sqrt: 5.0ms (36.4% of total)
ival-div: 4.0ms (29.1% of total)
ival-mult: 4.0ms (29.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
9 → 84
Calls
Call 1
Inputs
#<alt (* (sqrt (* x 2)) (sqrt x))>
#<alt (sqrt (* x 2))>
#<alt (* x 2)>
#<alt (sqrt x)>
#<alt (/ x (* (sqrt 2) 1/2))>
#<alt (* (sqrt 2) 1/2)>
#<alt (sqrt 2)>
#<alt (/ (* (sqrt 2) 1/2) (/ 1/2 x))>
#<alt (/ 1/2 x)>
Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
Calls

21 calls:

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

rewrite272.0ms (2%)

Memory
9.6MiB live, 401.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 640×*-lowering-*.f32
2 640×*-lowering-*.f64
2 176×/-lowering-/.f32
2 176×/-lowering-/.f64
2 114×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01236
14836
224130
3139629
4654729
0850929
Stop Event
1×iter limit
1×node limit
Counts
9 → 813
Calls
Call 1
Inputs
(* (sqrt (* x 2)) (sqrt x))
(sqrt (* x 2))
(* x 2)
(sqrt x)
(/ x (* (sqrt 2) 1/2))
(* (sqrt 2) 1/2)
(sqrt 2)
(/ (* (sqrt 2) 1/2) (/ 1/2 x))
(/ 1/2 x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))))
(exp.f64 (+.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (log.f64 x)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (+.f64 (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 #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (-.f64 (log.f64 x) (*.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))) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(exp.f64 (-.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (-.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 (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)))
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) x))
(/.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))
(/.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 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.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 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 x #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 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) x)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
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(*.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal -2 binary64))
(*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.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 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 x #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)) (pow.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(*.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 (*.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 #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) (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 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 (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)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))

simplify333.0ms (2.4%)

Memory
-9.1MiB live, 146.3MiB allocated
Algorithm
1×egg-herbie
Rules
1 996×*-lowering-*.f32
1 996×*-lowering-*.f64
1 996×accelerator-lowering-fma.f32
1 996×accelerator-lowering-fma.f64
1 190×distribute-rgt-in
Iterations

Useful iterations: 22 (0.0ms)

IterNodesCost
023356
148356
2124356
3249356
4484356
5796356
61383356
71504356
81593356
91794356
102138356
112610356
122673356
132719356
142736356
152736356
162764356
173396356
185180356
195656356
205754356
215798356
225822352
236765352
247603352
257904352
267938352
277942352
287948352
08012352
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 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))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
Outputs
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* 2 (/ x (sqrt 2)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 (/ x (sqrt 2)))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)

eval1.3s (9.5%)

Memory
16.1MiB live, 181.2MiB allocated
Compiler

Compiled 12 100 to 1 490 computations (87.7% saved)

prune287.0ms (2.1%)

Memory
-36.1MiB live, 166.5MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 03821 040
Fresh000
Picked213
Done033
Total1 04061 046
Accuracy
100.0%
Counts
1 046 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
99.3%
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
✓99.5%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓99.2%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓51.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
✓5.4%
(sqrt.f64 #s(literal 2 binary64))
Compiler

Compiled 124 to 66 computations (46.8% saved)

regimes21.0ms (0.2%)

Memory
-2.9MiB live, 34.5MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (sqrt.f64 x))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Calls

4 calls:

5.0ms
x
4.0ms
(pow.f64 x #s(literal 2 binary64))
4.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
4.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
99.5%1(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
99.5%1(pow.f64 x #s(literal 2 binary64))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes13.0ms (0.1%)

Memory
29.3MiB live, 29.3MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
Outputs
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
Calls

4 calls:

3.0ms
x
3.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
3.0ms
(pow.f64 x #s(literal 2 binary64))
3.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
99.3%1(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
99.3%1(pow.f64 x #s(literal 2 binary64))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes26.0ms (0.2%)

Memory
-20.6MiB live, 17.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))))
Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Calls

4 calls:

18.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
3.0ms
x
2.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
2.0ms
(pow.f64 x #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
99.2%1(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
99.2%1(pow.f64 x #s(literal 2 binary64))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
Calls

4 calls:

1.0ms
x
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
1.0ms
(pow.f64 x #s(literal 2 binary64))
1.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
7.0%1x
7.0%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
7.0%1(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
7.0%1(pow.f64 x #s(literal 2 binary64))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory
9.7MiB live, 9.7MiB 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:

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

Compiled 19 to 13 computations (31.6% saved)

simplify6.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321
11521
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(sqrt.f64 #s(literal 2 binary64))
Outputs
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))

soundness7.6s (55.4%)

Memory
-0.4MiB live, 582.6MiB allocated
Rules
3 322×accelerator-lowering-fma.f32
3 322×accelerator-lowering-fma.f64
3 302×accelerator-lowering-fma.f32
3 302×accelerator-lowering-fma.f64
2 848×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01236
14836
224130
3139629
4654729
0850929
0514
11912
25412
318412
47704
561584
090124
08148
115148
232148
338148
442148
554148
666148
777148
897148
9102148
0102148
01857
16951
241445
3468345
0837245
01229
15727
245525
3384425
0850425
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 95 to 67 computations (29.5% saved)

preprocess55.0ms (0.4%)

Memory
0.1MiB live, 116.1MiB allocated
Compiler

Compiled 106 to 68 computations (35.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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