sqrt D (should all be same)

Time bar (total: 9.0s)

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)

sample658.0ms (7.3%)

Memory
15.9MiB live, 766.2MiB allocated
Samples
365.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 227.0ms
ival-pow2: 107.0ms (47.2% of total)
ival-sqrt: 57.0ms (25.2% of total)
ival-mult: 49.0ms (21.6% of total)
ival-true: 5.0ms (2.2% of total)
exact: 4.0ms (1.8% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

preprocess18.0ms (0.2%)

Memory
-4.1MiB live, 35.1MiB allocated
Algorithm
1×egg-herbie
Rules
70×associate-*r*
46×associate-*l*
38×distribute-rgt-neg-out
38×unsub-neg
34×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
11513
23413
312313
424613
527013
628013
056
086
1106
2146
3166
0166
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))

explain83.0ms (0.9%)

Memory
-17.0MiB live, 107.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1220-2(1.4097574924722788e-158)(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))))uflow-rescue650
↳(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))underflow65
↳(pow.f64 x #s(literal 2 binary64))underflow65
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))oflow-rescue550
↳(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))overflow55
↳(pow.f64 x #s(literal 2 binary64))overflow55
Confusion
Predicted +Predicted -
+1202
-0134
Precision
1.0
Recall
0.9836065573770492
Confusion?
Predicted +Predicted MaybePredicted -
+12002
-00134
Precision?
1.0
Recall?
0.9836065573770492
Freqs
test
numberfreq
0136
1120
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
23.0ms512×0valid
Compiler

Compiled 50 to 24 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-pow2: 6.0ms (47.2% of total)
ival-mult: 3.0ms (23.6% of total)
ival-sqrt: 3.0ms (23.6% 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
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶56.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize18.0ms (0.2%)

Memory
22.9MiB live, 22.9MiB 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)))
✓accuracy56.1%
(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 (48.9% of total)
ival-sqrt: 2.0ms (32.6% of total)
ival-mult: 1.0ms (16.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* 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 (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)>
Calls

9 calls:

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

rewrite213.0ms (2.4%)

Memory
-21.0MiB live, 259.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 310×lower-*.f64
2 310×lower-*.f32
2 014×lower-/.f64
2 014×lower-/.f32
1 182×frac-times
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0514
0814
12212
25712
318612
47654
561764
090294
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 46
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)))))
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/2 binary64)))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (E.f64) (E.f64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 4 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 2 binary64) #s(literal 1/16 binary64)) #s(literal 8 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 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 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 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 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 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 2 binary64) #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 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 2 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)))
#s(literal 2 binary64)
#s(literal 1 binary64)
x

simplify7.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Algorithm
1×egg-herbie
Rules
38×lower-*.f64
38×lower-fma.f64
38×lower-fma.f32
38×lower-*.f32
36×lower-+.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
(* 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))
(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)
Outputs
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval12.0ms (0.1%)

Memory
-10.8MiB live, 24.8MiB allocated
Compiler

Compiled 563 to 120 computations (78.7% saved)

prune7.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB 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
▶50.5%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
▶56.1%
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
▶5.4%
(sqrt.f64 #s(literal 2 binary64))
▶51.2%
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 21 to 17 computations (19% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize33.0ms (0.4%)

Memory
-2.2MiB live, 76.7MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.3%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy56.1%
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.3%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 42 to 10 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.6% of total)
ival-sqrt: 4.0ms (38.6% of total)
ival-neg: 1.0ms (9.6% 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
4.4MiB live, 4.4MiB allocated
Counts
6 → 60
Calls
Call 1
Inputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (*.f64 x (*.f64 x #s(literal 2 binary64)))>
Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
Calls

15 calls:

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

rewrite215.0ms (2.4%)

Memory
-10.3MiB live, 229.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 440×lower-fma.f64
2 440×lower-fma.f32
1 988×lower-*.f32
1 982×lower-*.f64
1 258×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
01422
13322
27922
332422
4314422
0842322
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 1 058
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 x #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
Outputs
(+.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) x))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(exp.f64 (fma.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (fma.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))))
(-.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/8 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x))))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) x) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 x x)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/4 binary64)) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
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(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (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 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) x #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 0 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) x) (*.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x #s(literal 2 binary64))) x)
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 x (neg.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (neg.f64 x) (*.f64 x #s(literal 2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 (*.f64 x x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (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 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (neg.f64 (*.f64 x x)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x))
(*.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) x)
(*.f64 (neg.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x (sqrt.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 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (*.f64 x x)))

simplify17.0ms (0.2%)

Memory
4.3MiB live, 41.8MiB allocated
Algorithm
1×egg-herbie
Rules
38×lower-*.f64
38×lower-fma.f64
38×lower-fma.f32
38×lower-*.f32
36×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval167.0ms (1.8%)

Memory
5.1MiB live, 433.3MiB allocated
Compiler

Compiled 19 456 to 1 238 computations (93.6% saved)

prune108.0ms (1.2%)

Memory
-5.8MiB live, 225.9MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1 45951 464
Fresh000
Picked044
Done000
Total1 45991 468
Accuracy
100.0%
Counts
1 468 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.2%
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
▶51.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
▶50.3%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
▶49.4%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓50.5%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓56.1%
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
✓5.4%
(sqrt.f64 #s(literal 2 binary64))
▶50.5%
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓51.2%
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 99 to 81 computations (18.2% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize67.0ms (0.7%)

Memory
28.8MiB live, 147.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
✓accuracy99.8%
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.7%
(*.f64 x (sqrt.f64 #s(literal 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)
✓accuracy99.8%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.7%
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
✓accuracy99.2%
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.7%
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
Samples
17.0ms129×0invalid
17.0ms127×0valid
Compiler

Compiled 93 to 20 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 7.0ms (31.8% of total)
ival-div: 6.0ms (27.3% of total)
ival-sqrt: 6.0ms (27.3% of total)
ival-neg: 2.0ms (9.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-22.4MiB live, 16.6MiB allocated
Counts
13 → 132
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 x #s(literal -2 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 (*.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))>
Outputs
#<alt (* -2 (/ x (sqrt 2)))>
#<alt (* -2 (/ x (sqrt 2)))>
#<alt (* -2 (/ x (sqrt 2)))>
#<alt (* -2 (/ x (sqrt 2)))>
#<alt (* -2 (/ x (sqrt 2)))>
#<alt (* -2 (/ x (sqrt 2)))>
#<alt (* -2 (/ x (sqrt 2)))>
#<alt (* -2 (/ x (sqrt 2)))>
#<alt (* -2 (/ x (sqrt 2)))>
#<alt (* -2 (/ x (sqrt 2)))>
#<alt (* -2 (/ x (sqrt 2)))>
#<alt (* -2 (/ x (sqrt 2)))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -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)>
#<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 (* (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 (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (/ -1 (* x (sqrt 2)))>
#<alt (/ -1 (* x (sqrt 2)))>
#<alt (/ -1 (* x (sqrt 2)))>
#<alt (/ -1 (* x (sqrt 2)))>
#<alt (/ -1 (* x (sqrt 2)))>
#<alt (/ -1 (* x (sqrt 2)))>
#<alt (/ -1 (* x (sqrt 2)))>
#<alt (/ -1 (* x (sqrt 2)))>
#<alt (/ -1 (* x (sqrt 2)))>
#<alt (/ -1 (* x (sqrt 2)))>
#<alt (/ -1 (* x (sqrt 2)))>
#<alt (/ -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
Calls

33 calls:

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

rewrite285.0ms (3.2%)

Memory
-20.5MiB live, 352.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 382×lower-*.f32
2 372×lower-*.f64
2 022×lower-fma.f64
2 022×lower-fma.f32
1 666×lower-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01862
03158
18358
231852
3159245
4709345
0851045
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 2 443
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
Outputs
(+.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64) (neg.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (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))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (neg.f64 x) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(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 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 0 binary64))
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(*.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(*.f64 (*.f64 #s(literal -1 binary64) (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 #s(literal -1 binary64) (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 (*.f64 x #s(literal -2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 #s(literal -1 binary64) (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 (*.f64 x #s(literal -2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (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 (*.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 (*.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (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 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (*.f64 x #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 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))))
(*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (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 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))) (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))
(*.f64 (neg.f64 (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 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))

simplify300.0ms (3.3%)

Memory
46.3MiB live, 275.8MiB allocated
Algorithm
1×egg-herbie
Rules
2 428×lower-*.f64
2 428×lower-fma.f64
2 428×lower-fma.f32
2 428×lower-*.f32
1 552×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025632
158632
2148632
3278632
4506632
5824632
61376632
71509632
81635632
91858632
102096632
112548632
122624632
132650632
142654632
152654632
162654632
172698632
183502632
194431632
205335632
215703632
225905632
235949632
247055632
257579632
267734632
08046632
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 (/ x (sqrt 2)))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -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 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)))
(* (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))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(/ -1 (* x (sqrt 2)))
(/ -1 (* x (sqrt 2)))
(/ -1 (* x (sqrt 2)))
(/ -1 (* x (sqrt 2)))
(/ -1 (* x (sqrt 2)))
(/ -1 (* x (sqrt 2)))
(/ -1 (* x (sqrt 2)))
(/ -1 (* x (sqrt 2)))
(/ -1 (* x (sqrt 2)))
(/ -1 (* x (sqrt 2)))
(/ -1 (* x (sqrt 2)))
(/ -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
Outputs
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.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)
(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)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(/ -1 (* x (sqrt 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ -1 (* x (sqrt 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ -1 (* x (sqrt 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ -1 (* x (sqrt 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ -1 (* x (sqrt 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ -1 (* x (sqrt 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ -1 (* x (sqrt 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ -1 (* x (sqrt 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ -1 (* x (sqrt 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ -1 (* x (sqrt 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ -1 (* x (sqrt 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/ -1 (* x (sqrt 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

eval701.0ms (7.8%)

Memory
-29.7MiB live, 653.4MiB allocated
Compiler

Compiled 37 071 to 3 068 computations (91.7% saved)

prune228.0ms (2.5%)

Memory
6.8MiB live, 551.3MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New3 14823 150
Fresh000
Picked325
Done044
Total3 15183 159
Accuracy
100.0%
Counts
3 159 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.5%
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓51.2%
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓49.4%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
▶50.1%
(*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (neg.f64 x)))
✓50.5%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓56.1%
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
✓5.4%
(sqrt.f64 #s(literal 2 binary64))
✓51.2%
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 52 to 41 computations (21.2% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize33.0ms (0.4%)

Memory
32.7MiB live, 71.6MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.7%
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 (*.f64 x #s(literal -2 binary64)))
✓accuracy100.0%
(sqrt.f64 (neg.f64 x))
✓accuracy100.0%
(neg.f64 x)
✓accuracy99.7%
(*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (neg.f64 x)))
Samples
11.0ms129×0valid
10.0ms127×0invalid
Compiler

Compiled 37 to 13 computations (64.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sqrt: 5.0ms (38.2% of total)
ival-mult: 4.0ms (30.6% of total)
ival-div: 2.0ms (15.3% of total)
ival-neg: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-32.2MiB live, 6.2MiB allocated
Counts
7 → 72
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (neg.f64 x)))>
#<alt (neg.f64 x)>
#<alt (sqrt.f64 (neg.f64 x))>
#<alt (sqrt.f64 (*.f64 x #s(literal -2 binary64)))>
#<alt (/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 x #s(literal 2 binary64))>
Outputs
#<alt (* x (* (sqrt -2) (sqrt -1)))>
#<alt (* x (* (sqrt -2) (sqrt -1)))>
#<alt (* x (* (sqrt -2) (sqrt -1)))>
#<alt (* x (* (sqrt -2) (sqrt -1)))>
#<alt (* x (* (sqrt -2) (sqrt -1)))>
#<alt (* x (* (sqrt -2) (sqrt -1)))>
#<alt (* x (* (sqrt -2) (sqrt -1)))>
#<alt (* x (* (sqrt -2) (sqrt -1)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* (sqrt x) (sqrt -1))>
#<alt (* (sqrt x) (sqrt -1))>
#<alt (* (sqrt x) (sqrt -1))>
#<alt (* (sqrt x) (sqrt -1))>
#<alt (* (sqrt x) (sqrt -1))>
#<alt (* (sqrt x) (sqrt -1))>
#<alt (* (sqrt x) (sqrt -1))>
#<alt (* (sqrt x) (sqrt -1))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* (sqrt x) (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 -1) (sqrt 2))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (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)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* (sqrt (* x -2)) (sqrt (neg x)))
0.0ms
x
@0
(sqrt (neg x))
0.0ms
x
@0
(sqrt (* x -2))
0.0ms
x
@-inf
(sqrt (* x -2))
0.0ms
x
@inf
(* (sqrt (* x -2)) (sqrt (neg x)))

rewrite181.0ms (2%)

Memory
20.2MiB live, 311.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 726×lower-*.f32
3 720×lower-*.f64
2 884×lower-/.f32
2 882×lower-/.f64
1 366×frac-times
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01128
01928
14528
215626
380321
0828421
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 1 085
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (neg.f64 x)))
(neg.f64 x)
(sqrt.f64 (neg.f64 x))
(sqrt.f64 (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 x (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))
(+.f64 (*.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 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (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 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x #s(literal -2 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (sqrt.f64 #s(literal -2 binary64)))))
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))))
(fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal -2 binary64)) x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (pow.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) x #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal -2 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(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)) (/.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (sqrt.f64 #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(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)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (neg.f64 (/.f64 (sqrt.f64 #s(literal -2 binary64)) x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (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))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (neg.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (/.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.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)))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) #s(literal 0 binary64))
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(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (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 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.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)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -2 binary64)))) #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)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) #s(literal 3 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -2 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal -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)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 (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 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 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)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (neg.f64 (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)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -2 binary64))))) #s(literal 2 binary64))
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 x) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 x #s(literal -2 binary64)) x) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -2 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (neg.f64 x))) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (neg.f64 x)) #s(literal 0 binary64))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (neg.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))))) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))))) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64))))) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 x (/.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(*.f64 (neg.f64 x) (/.f64 (*.f64 x #s(literal -2 binary64)) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 x x))
(*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (neg.f64 x))) (neg.f64 x))
(*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (neg.f64 x)))

simplify24.0ms (0.3%)

Memory
-1.5MiB live, 34.7MiB allocated
Algorithm
1×egg-herbie
Rules
160×lower-*.f64
160×lower-fma.f64
160×lower-fma.f32
160×lower-*.f32
104×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022348
147348
2101348
3150348
4167348
5214348
6254348
7303348
8364348
9369348
0369348
Stop Event
1×iter limit
1×saturated
Counts
72 → 72
Calls
Call 1
Inputs
(* x (* (sqrt -2) (sqrt -1)))
(* x (* (sqrt -2) (sqrt -1)))
(* x (* (sqrt -2) (sqrt -1)))
(* x (* (sqrt -2) (sqrt -1)))
(* x (* (sqrt -2) (sqrt -1)))
(* x (* (sqrt -2) (sqrt -1)))
(* x (* (sqrt -2) (sqrt -1)))
(* x (* (sqrt -2) (sqrt -1)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* (sqrt x) (sqrt -1))
(* (sqrt x) (sqrt -1))
(* (sqrt x) (sqrt -1))
(* (sqrt x) (sqrt -1))
(* (sqrt x) (sqrt -1))
(* (sqrt x) (sqrt -1))
(* (sqrt x) (sqrt -1))
(* (sqrt x) (sqrt -1))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (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 -1) (sqrt 2))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(* -1 (* (sqrt x) (* (sqrt -1) (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)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* x (* (sqrt -2) (sqrt -1)))
(*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* x (* (sqrt -2) (sqrt -1)))
(*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* x (* (sqrt -2) (sqrt -1)))
(*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* x (* (sqrt -2) (sqrt -1)))
(*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* x (* (sqrt -2) (sqrt -1)))
(*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* x (* (sqrt -2) (sqrt -1)))
(*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* x (* (sqrt -2) (sqrt -1)))
(*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* x (* (sqrt -2) (sqrt -1)))
(*.f64 x (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt x) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ x (sqrt 2)))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval148.0ms (1.6%)

Memory
8.4MiB live, 150.2MiB allocated
Compiler

Compiled 15 010 to 1 724 computations (88.5% saved)

prune111.0ms (1.2%)

Memory
5.9MiB live, 221.0MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1 15701 157
Fresh000
Picked022
Done066
Total1 15781 165
Accuracy
100.0%
Counts
1 165 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.5%
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓51.2%
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓49.4%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓50.1%
(*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (neg.f64 x)))
✓50.5%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓56.1%
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
✓5.4%
(sqrt.f64 #s(literal 2 binary64))
✓51.2%
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 124 to 70 computations (43.5% saved)

regimes299.0ms (3.3%)

Memory
-12.4MiB live, 26.2MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Calls

4 calls:

286.0ms
(pow.f64 x #s(literal 2 binary64))
4.0ms
x
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%2x
78.2%3(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
78.2%3(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
78.2%3(pow.f64 x #s(literal 2 binary64))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes4.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Outputs
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Memory
-32.3MiB live, 5.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
Outputs
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Outputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Calls

4 calls:

2.0ms
x
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
1.0ms
(pow.f64 x #s(literal 2 binary64))
1.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
50.5%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
50.5%1(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
50.5%1(pow.f64 x #s(literal 2 binary64))
52.3%2x
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB 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
x
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
1.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
1.0ms
(pow.f64 x #s(literal 2 binary64))
Results
AccuracySegmentsBranch
5.4%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
5.4%1(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
5.4%1(pow.f64 x #s(literal 2 binary64))
5.4%1x
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch13.0ms (0.1%)

Memory
-16.5MiB live, 22.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-1.4256916573461186e-307
7.534118243227063e-305
Samples
7.0ms144×0valid
Compiler

Compiled 181 to 144 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 1.0ms (29% of total)
ival-sqrt: 1.0ms (29% of total)
ival-pow2: 1.0ms (29% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-1.4256916573461186e-307
7.534118243227063e-305
Compiler

Compiled 163 to 135 computations (17.2% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-1.4256916573461186e-307
7.534118243227063e-305
Compiler

Compiled 154 to 126 computations (18.2% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-1.4256916573461186e-307
7.534118243227063e-305
Compiler

Compiled 136 to 117 computations (14% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-1.4256916573461186e-307
7.534118243227063e-305
Compiler

Compiled 127 to 108 computations (15% saved)

bsearch13.0ms (0.1%)

Memory
-20.2MiB live, 21.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-8.949495213371203e-204
-1.9184710424149945e-206
Samples
7.0ms128×0valid
Compiler

Compiled 90 to 81 computations (10% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sqrt: 3.0ms (56.6% of total)
ival-mult: 1.0ms (18.9% of total)
ival-pow2: 1.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Algorithm
1×egg-herbie
Rules
16×*-commutative_binary64
6×+-commutative_binary64
6×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02791
14191
25091
35491
45591
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (neg.f64 x))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
Outputs
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (neg.f64 x))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))

soundness5.0s (55.1%)

Memory
6.8MiB live, 521.0MiB allocated
Rules
2 440×lower-fma.f64
2 440×lower-fma.f32
2 382×lower-*.f32
2 372×lower-*.f64
2 310×lower-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0825
01422
13322
27922
332422
4314422
0842322
01862
03158
18358
231852
3159245
4709345
0851045
0514
0814
12212
25712
318612
47654
561764
090294
08148
115148
232148
338148
442148
554148
666148
777148
897148
9102148
0102148
Stop Event
1×done
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 182 to 100 computations (45.1% saved)

preprocess38.0ms (0.4%)

Memory
7.4MiB live, 84.4MiB allocated
Compiler

Compiled 198 to 64 computations (67.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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