sqrt C (should all be same)

Time bar (total: 14.5s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample8.0s (55.1%)

Memory
8.4MiB live, 639.1MiB allocated
Samples
7.9s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 456.0ms
ival-mult: 390.0ms (85.5% of total)
ival-sqrt: 55.0ms (12.1% of total)
ival-true: 5.0ms (1.1% of total)
exact: 4.0ms (0.9% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess16.0ms (0.1%)

Memory
-9.9MiB live, 28.2MiB allocated
Algorithm
egg-herbie
Rules
32×associate-*r*
28×distribute-lft-neg-in
28×associate-*l*
24×distribute-lft-in
24×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
12519
26419
313919
420219
521919
622119
056
186
2116
0116
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(sqrt (* 2 (* x x)))
Outputs
(sqrt (* 2 (* x x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Call 2
Inputs
(sqrt (* 2 (* x x)))
(sqrt (* 2 (* (neg x) (neg x))))
(neg (sqrt (* 2 (* (neg x) (neg x)))))
Outputs
(sqrt (* 2 (* x x)))
(sqrt (* 2 (* (neg x) (neg x))))
(sqrt (* 2 (* x x)))
(neg (sqrt (* 2 (* (neg x) (neg x)))))
(neg (sqrt (* 2 (* x x))))
Symmetry

(abs x)

explain59.0ms (0.4%)

Memory
-20.1MiB live, 141.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1230-2(4.2036542053951013e-156)(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 x x)
00-0-(*.f64 #s(literal 2 binary64) (*.f64 x x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))oflow-rescue630
(*.f64 #s(literal 2 binary64) (*.f64 x x))overflow63
(*.f64 x x)overflow63
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))uflow-rescue580
(*.f64 #s(literal 2 binary64) (*.f64 x x))underflow58
(*.f64 x x)underflow58
Confusion
Predicted +Predicted -
+1212
-0133
Precision
1.0
Recall
0.983739837398374
Confusion?
Predicted +Predicted MaybePredicted -
+12102
-00133
Precision?
1.0
Recall?
0.983739837398374
Freqs
test
numberfreq
0135
1121
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
21.0ms512×0valid
Compiler

Compiled 50 to 24 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (56.1% of total)
ival-sqrt: 4.0ms (37.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.6%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
1816
21116
01116
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(sqrt (* 2 (* x x)))
(* 2 (* x x))
2
(* x x)
x
Outputs
(sqrt (* 2 (* x x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(* 2 (* x x))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x

localize23.0ms (0.2%)

Memory
-15.4MiB live, 32.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy55.6%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Samples
17.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (54.5% of total)
ival-sqrt: 2.0ms (36.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (sqrt (* 2 (* x x)))>
#<alt (* 2 (* x x))>
#<alt (* x x)>
Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<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 (* x x)))
1.0ms
x
@inf
(* 2 (* x x))
0.0ms
x
@0
(* 2 (* x x))
0.0ms
x
@inf
(sqrt (* 2 (* x x)))
0.0ms
x
@inf
(* x x)

rewrite299.0ms (2.1%)

Memory
18.4MiB live, 443.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 020×accelerator-lowering-fma.f32
6 020×accelerator-lowering-fma.f64
3 692×*-lowering-*.f32
3 692×*-lowering-*.f64
1 894×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0514
11413
24312
312012
457712
5394112
0819712
Stop Event
iter limit
node limit
Counts
3 → 226
Calls
Call 1
Inputs
(sqrt (* 2 (* x x)))
(* 2 (* x x))
(* x x)
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 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 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) #s(literal 8 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.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)))
(*.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 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(*.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)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(*.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)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 7/16 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))))
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(*.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 x (*.f64 x (*.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (*.f64 x x) (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 x (*.f64 x (*.f64 x (sqrt.f64 x)))))))
(*.f64 (neg.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (fabs.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (neg.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/2 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/2 binary64) (log.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))) (sqrt.f64 x))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 7/4 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 x (*.f64 x (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 x (*.f64 x (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 x (*.f64 x (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))

simplify9.0ms (0.1%)

Memory
23.3MiB live, 23.3MiB allocated
Algorithm
egg-herbie
Rules
38×*-lowering-*.f32
38×*-lowering-*.f64
38×accelerator-lowering-fma.f32
38×accelerator-lowering-fma.f64
36×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval34.0ms (0.2%)

Memory
-18.9MiB live, 63.8MiB allocated
Compiler

Compiled 3 699 to 733 computations (80.2% saved)

prune35.0ms (0.2%)

Memory
0.1MiB live, 77.5MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New25012262
Fresh000
Picked011
Done000
Total25013263
Accuracy
100.0%
Counts
263 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(*.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))))
99.4%
(*.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)))))
70.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
64.7%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
83.7%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
70.6%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
70.5%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
70.1%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
55.5%
(sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
41.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
55.6%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 335 to 221 computations (34% saved)

simplify6.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
cost-diff0
(*.f64 x (sqrt.f64 x))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
Rules
84×*-lowering-*.f32
84×*-lowering-*.f64
34×*-commutative
18×sqrt-lowering-sqrt.f64
18×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021176
136176
256176
361176
061176
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (sqrt (* 2 x)) (sqrt x))
(sqrt (* 2 x))
(* 2 x)
2
x
(sqrt x)
(* (sqrt 2) x)
(sqrt 2)
2
x
(* (sqrt (* 2 (* x (sqrt x)))) (sqrt (sqrt x)))
(sqrt (* 2 (* x (sqrt x))))
(* 2 (* x (sqrt x)))
2
(* x (sqrt x))
x
(sqrt x)
(sqrt (sqrt x))
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
(sqrt (* (* 2 x) (sqrt (sqrt x))))
(* (* 2 x) (sqrt (sqrt x)))
(* 2 x)
2
x
(sqrt (sqrt x))
(sqrt x)
(sqrt (sqrt (* x (sqrt x))))
(sqrt (* x (sqrt x)))
(* x (sqrt x))
(* (* (sqrt (* 2 x)) (sqrt (sqrt (* x (sqrt x))))) (sqrt (sqrt (sqrt x))))
(* (sqrt (* 2 x)) (sqrt (sqrt (* x (sqrt x)))))
(sqrt (* 2 x))
(* 2 x)
2
x
(sqrt (sqrt (* x (sqrt x))))
(sqrt (* x (sqrt x)))
(* x (sqrt x))
(sqrt x)
(sqrt (sqrt (sqrt x)))
(sqrt (sqrt x))
Outputs
(* (sqrt (* 2 x)) (sqrt x))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt (* 2 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(sqrt x)
(sqrt.f64 x)
(* (sqrt 2) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
x
(* (sqrt (* 2 (* x (sqrt x)))) (sqrt (sqrt x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(sqrt (* 2 (* x (sqrt x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))
(* 2 (* x (sqrt x)))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))
2
#s(literal 2 binary64)
(* x (sqrt x))
(*.f64 x (sqrt.f64 x))
x
(sqrt x)
(sqrt.f64 x)
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt (* (* 2 x) (sqrt (sqrt x))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(* (* 2 x) (sqrt (sqrt x)))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(sqrt (sqrt (* x (sqrt x))))
(sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt (* x (sqrt x)))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(* x (sqrt x))
(*.f64 x (sqrt.f64 x))
(* (* (sqrt (* 2 x)) (sqrt (sqrt (* x (sqrt x))))) (sqrt (sqrt (sqrt x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(* (sqrt (* 2 x)) (sqrt (sqrt (* x (sqrt x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt (* 2 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(sqrt (sqrt (* x (sqrt x))))
(sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt (* x (sqrt x)))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(* x (sqrt x))
(*.f64 x (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(sqrt (sqrt (sqrt x)))
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))

localize88.0ms (0.6%)

Memory
-24.7MiB live, 175.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 x (sqrt.f64 x))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy70.0%
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy99.6%
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
accuracy83.5%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
accuracy70.0%
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy99.8%
(sqrt.f64 (sqrt.f64 x))
accuracy99.8%
(*.f64 x (sqrt.f64 x))
accuracy99.4%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
accuracy69.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
accuracy100.0%
(sqrt.f64 x)
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
Samples
43.0ms256×0valid
Compiler

Compiled 178 to 23 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 14.0ms (50% of total)
ival-sqrt: 13.0ms (46.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series211.0ms (1.5%)

Memory
36.7MiB live, 370.8MiB allocated
Counts
17 → 192
Calls
Call 1
Inputs
#<alt (* (sqrt (* 2 x)) (sqrt x))>
#<alt (sqrt (* 2 x))>
#<alt (* 2 x)>
#<alt (sqrt x)>
#<alt (* (sqrt 2) x)>
#<alt (sqrt 2)>
#<alt (* (sqrt (* 2 (* x (sqrt x)))) (sqrt (sqrt x)))>
#<alt (sqrt (* 2 (* x (sqrt x))))>
#<alt (* 2 (* x (sqrt x)))>
#<alt (* x (sqrt x))>
#<alt (* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))>
#<alt (sqrt (* (* 2 x) (sqrt (sqrt x))))>
#<alt (* (* 2 x) (sqrt (sqrt x)))>
#<alt (* (* (sqrt (* 2 x)) (sqrt (sqrt (* x (sqrt x))))) (sqrt (sqrt (sqrt x))))>
#<alt (* (sqrt (* 2 x)) (sqrt (sqrt (* x (sqrt x)))))>
#<alt (sqrt (sqrt x))>
#<alt (sqrt (* x (sqrt x)))>
Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -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 (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<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 (* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
Calls

48 calls:

TimeVariablePointExpression
47.0ms
x
@-inf
(* (sqrt (* 2 x)) (sqrt (sqrt (* x (sqrt x)))))
31.0ms
x
@0
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
29.0ms
x
@0
(sqrt (* 2 (* x (sqrt x))))
20.0ms
x
@-inf
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
17.0ms
x
@-inf
(sqrt (* (* 2 x) (sqrt (sqrt x))))

rewrite317.0ms (2.2%)

Memory
14.6MiB live, 496.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 816×accelerator-lowering-fma.f32
5 816×accelerator-lowering-fma.f64
3 468×*-lowering-*.f32
3 468×*-lowering-*.f64
1 610×pow-lowering-pow.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02191
15886
219070
382568
4422768
0822368
Stop Event
iter limit
node limit
Counts
17 → 809
Calls
Call 1
Inputs
(* (sqrt (* 2 x)) (sqrt x))
(sqrt (* 2 x))
(* 2 x)
(sqrt x)
(* (sqrt 2) x)
(sqrt 2)
(* (sqrt (* 2 (* x (sqrt x)))) (sqrt (sqrt x)))
(sqrt (* 2 (* x (sqrt x))))
(* 2 (* x (sqrt x)))
(* x (sqrt x))
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
(sqrt (* (* 2 x) (sqrt (sqrt x))))
(* (* 2 x) (sqrt (sqrt x)))
(* (* (sqrt (* 2 x)) (sqrt (sqrt (* x (sqrt x))))) (sqrt (sqrt (sqrt x))))
(* (sqrt (* 2 x)) (sqrt (sqrt (* x (sqrt x)))))
(sqrt (sqrt x))
(sqrt (* x (sqrt x)))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/4 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (*.f64 (log.f64 x) #s(literal 3/4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))) x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 3/16 binary64) (log.f64 x) (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))) (*.f64 #s(literal 3/16 binary64) (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 x)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x)))
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64)))
(*.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 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.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)))
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(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(*.f64 (fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))))
(*.f64 (fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))))
(*.f64 (fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))) (fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(*.f64 (fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))) (fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/16 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/8 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
(fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(pow.f64 x #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 12 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/8 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3/16 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64)))
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 3/2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (fabs.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/8 binary64))))
(*.f64 (fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) (fabs.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64))))
(*.f64 (fabs.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/8 binary64))) (fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64))) (fabs.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/2 binary64))) (fabs.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 3/2 binary64))) (fabs.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))

simplify431.0ms (3%)

Memory
-36.9MiB live, 299.3MiB allocated
Algorithm
egg-herbie
Rules
3 724×*-lowering-*.f32
3 724×*-lowering-*.f64
3 552×accelerator-lowering-fma.f32
3 552×accelerator-lowering-fma.f64
2 034×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0721172
11531172
23401164
35561164
49441164
514941164
619901164
721281164
823641164
926811164
1028381164
1134501164
1238261164
1339281164
1439911164
1540441164
1640741164
1740821164
1840821164
1940821164
2041981164
2142461164
2242461164
2342461164
2448141164
2564581164
2667941164
2767941164
2873541164
2974341164
3076341164
3176741164
3276741164
3376741164
3476741164
3576741164
082281164
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -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))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
Outputs
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 x)
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(* 2 x)
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(* 2 x)
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(* 2 x)
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(* 2 x)
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(* 2 x)
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(* 2 x)
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(* 2 x)
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(* 2 x)
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(* 2 x)
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(* 2 x)
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(* 2 x)
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
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(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
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(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
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(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
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(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
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(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
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(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
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(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
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(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
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(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
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(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
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(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
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(* x (sqrt 2))
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(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
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(* -1 (* x (* (sqrt -2) (sqrt -1))))
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(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
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(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
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(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
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(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
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(* 2 (pow (* 1 (pow x 5)) 1/4))
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(* 2 (pow (* 1 (pow x 5)) 1/4))
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(* 2 (pow (* 1 (pow x 5)) 1/4))
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(* 2 (pow (* 1 (pow x 5)) 1/4))
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(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))

eval205.0ms (1.4%)

Memory
31.9MiB live, 406.4MiB allocated
Compiler

Compiled 31 043 to 2 993 computations (90.4% saved)

prune180.0ms (1.2%)

Memory
1.0MiB live, 291.1MiB allocated
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New1 73271 739
Fresh167
Picked235
Done011
Total1 735171 752
Accuracy
100.0%
Counts
1 752 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
99.4%
(*.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))))
99.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
99.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
99.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
64.7%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
83.7%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
84.0%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
70.5%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
70.5%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
70.1%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
39.8%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (sqrt.f64 (sqrt.f64 x)))
99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
55.5%
(sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
41.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
55.6%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 408 to 269 computations (34.1% saved)

simplify32.0ms (0.2%)

Memory
-11.4MiB live, 27.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
cost-diff640
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
cost-diff2240
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 x (sqrt.f64 x))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
cost-diff1600
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
cost-diff0
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
cost-diff12608
(*.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))))
Rules
610×*-lowering-*.f32
610×*-lowering-*.f64
516×associate-*r*
250×associate-*l*
94×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029222
155217
295202
3173201
4387201
5556201
6563201
7564201
0564201
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (pow 2 1/4) (* x (pow 2 1/4)))
(pow 2 1/4)
2
1/4
(* x (pow 2 1/4))
x
(sqrt (* (* x (sqrt x)) (* 2 (sqrt x))))
(* (* x (sqrt x)) (* 2 (sqrt x)))
(* x (sqrt x))
x
(sqrt x)
(* 2 (sqrt x))
2
(* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x)))
(* (sqrt (* 2 x)) (sqrt (sqrt x)))
(sqrt (* 2 x))
(* 2 x)
2
x
(sqrt (sqrt x))
(sqrt x)
(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (sqrt (* x (sqrt (sqrt x)))))
(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))
(* (* 2 (sqrt x)) (sqrt (sqrt x)))
(* 2 (sqrt x))
2
(sqrt x)
x
(sqrt (sqrt x))
(sqrt (* x (sqrt (sqrt x))))
(* x (sqrt (sqrt x)))
(* (sqrt (* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt (* x (sqrt x))))))
(sqrt (* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x)))))
(* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x))))
(* 2 (* x (sqrt x)))
2
(* x (sqrt x))
x
(sqrt x)
(sqrt (sqrt (sqrt x)))
(sqrt (sqrt x))
(sqrt (sqrt (sqrt (* x (sqrt x)))))
(sqrt (sqrt (* x (sqrt x))))
(sqrt (* x (sqrt x)))
Outputs
(* (pow 2 1/4) (* x (pow 2 1/4)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow 2 1/4)
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
(* x (pow 2 1/4))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)
x
(sqrt (* (* x (sqrt x)) (* 2 (sqrt x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(* (* x (sqrt x)) (* 2 (sqrt x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* x (sqrt x))
(*.f64 x (sqrt.f64 x))
x
(sqrt x)
(sqrt.f64 x)
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
2
#s(literal 2 binary64)
(* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(* (sqrt (* 2 x)) (sqrt (sqrt x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
(sqrt (* 2 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (sqrt (* x (sqrt (sqrt x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(* (* 2 (sqrt x)) (sqrt (sqrt x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
2
#s(literal 2 binary64)
(sqrt x)
(sqrt.f64 x)
x
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(sqrt (* x (sqrt (sqrt x))))
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(* x (sqrt (sqrt x)))
(*.f64 x (sqrt.f64 (sqrt.f64 x)))
(* (sqrt (* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt (* x (sqrt x))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(sqrt (* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x)))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(* 2 (* x (sqrt x)))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))
2
#s(literal 2 binary64)
(* x (sqrt x))
(*.f64 x (sqrt.f64 x))
x
(sqrt x)
(sqrt.f64 x)
(sqrt (sqrt (sqrt x)))
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(sqrt (sqrt (sqrt (* x (sqrt x)))))
(sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt (sqrt (* x (sqrt x))))
(sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt (* x (sqrt x)))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))

localize109.0ms (0.8%)

Memory
28.4MiB live, 182.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
accuracy70.0%
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy64.3%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
accuracy99.6%
(*.f64 x (sqrt.f64 (sqrt.f64 x)))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
accuracy99.4%
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
accuracy83.5%
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
accuracy100.0%
(sqrt.f64 x)
accuracy99.8%
(sqrt.f64 (sqrt.f64 x))
accuracy99.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
accuracy99.3%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.8%
(*.f64 x (sqrt.f64 x))
accuracy99.7%
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
accuracy55.6%
(sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
accuracy100.0%
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
accuracy99.7%
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
accuracy99.5%
(*.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))))
Samples
63.0ms256×0valid
Compiler

Compiled 224 to 31 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 26.0ms (55.7% of total)
ival-sqrt: 16.0ms (34.3% of total)
ival-pow: 4.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series92.0ms (0.6%)

Memory
-26.2MiB live, 169.9MiB allocated
Counts
23 → 264
Calls
Call 1
Inputs
#<alt (* (pow 2 1/4) (* x (pow 2 1/4)))>
#<alt (pow 2 1/4)>
#<alt (* x (pow 2 1/4))>
#<alt (* (* x (sqrt x)) (* 2 (sqrt x)))>
#<alt (sqrt (* (* x (sqrt x)) (* 2 (sqrt x))))>
#<alt (* x (sqrt x))>
#<alt (sqrt x)>
#<alt (* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x)))>
#<alt (* (sqrt (* 2 x)) (sqrt (sqrt x)))>
#<alt (sqrt (* 2 x))>
#<alt (* 2 x)>
#<alt (* (* 2 (sqrt x)) (sqrt (sqrt x)))>
#<alt (* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (sqrt (* x (sqrt (sqrt x)))))>
#<alt (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))>
#<alt (* 2 (sqrt x))>
#<alt (* (sqrt (* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt (* x (sqrt x))))))>
#<alt (sqrt (* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x)))))>
#<alt (* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x))))>
#<alt (* 2 (* x (sqrt x)))>
#<alt (sqrt (sqrt x))>
#<alt (sqrt (* x (sqrt (sqrt x))))>
#<alt (* x (sqrt (sqrt x)))>
#<alt (sqrt (* x (sqrt x)))>
Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) 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) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -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 (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -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 (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<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 (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -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 (* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 13)) 1/16) (* (pow (* 1 (pow (sqrt -1) 5)) 1/8) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 13)) 1/16) (* (pow (* 1 (pow (sqrt -1) 5)) 1/8) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 13)) 1/16) (* (pow (* 1 (pow (sqrt -1) 5)) 1/8) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 13)) 1/16) (* (pow (* 1 (pow (sqrt -1) 5)) 1/8) (sqrt -2)))>
#<alt (* 2 (pow (* 1 (pow x 13)) 1/8))>
#<alt (* 2 (pow (* 1 (pow x 13)) 1/8))>
#<alt (* 2 (pow (* 1 (pow x 13)) 1/8))>
#<alt (* 2 (pow (* 1 (pow x 13)) 1/8))>
#<alt (* 2 (pow (* 1 (pow x 13)) 1/8))>
#<alt (* 2 (pow (* 1 (pow x 13)) 1/8))>
#<alt (* 2 (pow (* 1 (pow x 13)) 1/8))>
#<alt (* 2 (pow (* 1 (pow x 13)) 1/8))>
#<alt (* -2 (* (pow (* -1 (pow x 13)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)))>
#<alt (* -2 (* (pow (* -1 (pow x 13)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)))>
#<alt (* -2 (* (pow (* -1 (pow x 13)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)))>
#<alt (* -2 (* (pow (* -1 (pow x 13)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
Calls

66 calls:

TimeVariablePointExpression
31.0ms
x
@-inf
(sqrt (* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x)))))
16.0ms
x
@0
(* x (pow 2 1/4))
10.0ms
x
@0
(* (sqrt (* 2 x)) (sqrt (sqrt x)))
10.0ms
x
@0
(sqrt (* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x)))))
7.0ms
x
@inf
(sqrt (* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x)))))

rewrite639.0ms (4.4%)

Memory
39.9MiB live, 739.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 200×accelerator-lowering-fma.f32
9 200×accelerator-lowering-fma.f64
4 596×*-lowering-*.f32
4 596×*-lowering-*.f64
1 936×prod-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029149
189140
2293101
3128994
4667794
0879994
Stop Event
iter limit
node limit
Counts
23 → 920
Calls
Call 1
Inputs
(* (pow 2 1/4) (* x (pow 2 1/4)))
(pow 2 1/4)
(* x (pow 2 1/4))
(* (* x (sqrt x)) (* 2 (sqrt x)))
(sqrt (* (* x (sqrt x)) (* 2 (sqrt x))))
(* x (sqrt x))
(sqrt x)
(* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x)))
(* (sqrt (* 2 x)) (sqrt (sqrt x)))
(sqrt (* 2 x))
(* 2 x)
(* (* 2 (sqrt x)) (sqrt (sqrt x)))
(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (sqrt (* x (sqrt (sqrt x)))))
(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))
(* 2 (sqrt x))
(* (sqrt (* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt (* x (sqrt x))))))
(sqrt (* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x)))))
(* (* 2 (* x (sqrt x))) (sqrt (sqrt (sqrt x))))
(* 2 (* x (sqrt x)))
(sqrt (sqrt x))
(sqrt (* x (sqrt (sqrt x))))
(* x (sqrt (sqrt x)))
(sqrt (* x (sqrt x)))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/8 binary64))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))
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(exp.f64 (*.f64 (*.f64 #s(literal 3/16 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(pow.f64 x #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/8 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))

simplify528.0ms (3.6%)

Memory
-7.7MiB live, 468.3MiB allocated
Algorithm
egg-herbie
Rules
4 204×*-lowering-*.f32
4 204×*-lowering-*.f64
3 984×accelerator-lowering-fma.f32
3 984×accelerator-lowering-fma.f64
2 544×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0951632
12051632
24961620
38331620
411931620
521151620
628771620
730921620
832651620
934011620
1034791620
1141071620
1243801620
1343991620
1444931620
1545271620
1645721620
1746311620
1847061620
1947551620
2047931620
2148141620
2249661620
2350261620
2450261620
2550261620
2658021620
2774541620
2877141620
2979521620
3079861620
3179861620
3279861620
3379861620
089661620
Stop Event
iter limit
node limit
Counts
264 → 264
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))
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) x)
(* (pow 2 1/4) 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) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -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 (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 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 (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(* (pow (* -1 (pow x 13)) 1/16) (* (pow (* 1 (pow (sqrt -1) 5)) 1/8) (sqrt -2)))
(* (pow (* -1 (pow x 13)) 1/16) (* (pow (* 1 (pow (sqrt -1) 5)) 1/8) (sqrt -2)))
(* (pow (* -1 (pow x 13)) 1/16) (* (pow (* 1 (pow (sqrt -1) 5)) 1/8) (sqrt -2)))
(* (pow (* -1 (pow x 13)) 1/16) (* (pow (* 1 (pow (sqrt -1) 5)) 1/8) (sqrt -2)))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(* -2 (* (pow (* -1 (pow x 13)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)))
(* -2 (* (pow (* -1 (pow x 13)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)))
(* -2 (* (pow (* -1 (pow x 13)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)))
(* -2 (* (pow (* -1 (pow x 13)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
Outputs
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 13)) 1/16) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 13)) 1/16) (* (pow (* 1 (pow (sqrt -1) 5)) 1/8) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 13)) 1/16) (* (pow (* 1 (pow (sqrt -1) 5)) 1/8) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 13)) 1/16) (* (pow (* 1 (pow (sqrt -1) 5)) 1/8) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 13)) 1/16) (* (pow (* 1 (pow (sqrt -1) 5)) 1/8) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 13)) 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(* -2 (* (pow (* -1 (pow x 13)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/8 binary64)) #s(literal -2 binary64)))
(* -2 (* (pow (* -1 (pow x 13)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/8 binary64)) #s(literal -2 binary64)))
(* -2 (* (pow (* -1 (pow x 13)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/8 binary64)) #s(literal -2 binary64)))
(* -2 (* (pow (* -1 (pow x 13)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 13 binary64))) #s(literal 1/8 binary64)) #s(literal -2 binary64)))
(* 2 (sqrt (pow x 3)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))

eval258.0ms (1.8%)

Memory
27.7MiB live, 539.6MiB allocated
Compiler

Compiled 35 137 to 3 346 computations (90.5% saved)

prune185.0ms (1.3%)

Memory
3.9MiB live, 282.0MiB allocated
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New1 84941 853
Fresh448
Picked235
Done044
Total1 855151 870
Accuracy
100.0%
Counts
1 870 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
99.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
99.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
98.9%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
83.7%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
84.0%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
70.5%
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
70.5%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
70.1%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
39.8%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (sqrt.f64 (sqrt.f64 x)))
99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
55.5%
(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
55.5%
(sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
55.6%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 321 to 210 computations (34.6% saved)

simplify10.0ms (0.1%)

Memory
-23.5MiB live, 14.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
cost-diff0
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 x (sqrt.f64 x))
cost-diff0
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
Rules
108×*-lowering-*.f32
108×*-lowering-*.f64
44×*-commutative
24×associate-*r*
24×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028228
148228
272228
379228
079228
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))
(* (sqrt (* 2 (sqrt x))) (sqrt x))
(sqrt (* 2 (sqrt x)))
(* 2 (sqrt x))
2
(sqrt x)
x
(sqrt (sqrt x))
(* (sqrt (* x (sqrt x))) (sqrt (* 2 (sqrt x))))
(sqrt (* x (sqrt x)))
(* x (sqrt x))
x
(sqrt x)
(sqrt (* 2 (sqrt x)))
(* 2 (sqrt x))
2
(* (sqrt (* (sqrt (* x (sqrt x))) 2)) (sqrt (* x (sqrt (sqrt x)))))
(sqrt (* (sqrt (* x (sqrt x))) 2))
(* (sqrt (* x (sqrt x))) 2)
(sqrt (* x (sqrt x)))
(* x (sqrt x))
x
(sqrt x)
2
(sqrt (* x (sqrt (sqrt x))))
(* x (sqrt (sqrt x)))
(sqrt (sqrt x))
(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (sqrt (sqrt x))) (sqrt x)))
(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))
(* (* 2 (sqrt x)) (sqrt (sqrt x)))
(* 2 (sqrt x))
2
(sqrt x)
x
(sqrt (sqrt x))
(* (sqrt (sqrt (sqrt x))) (sqrt x))
(sqrt (sqrt (sqrt x)))
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (pow x 3/4)))
(sqrt (* (* 2 x) (sqrt (sqrt x))))
(* (* 2 x) (sqrt (sqrt x)))
(* 2 x)
2
x
(sqrt (sqrt x))
(sqrt x)
(sqrt (pow x 3/4))
(pow x 3/4)
3/4
Outputs
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))))
(* (sqrt (* 2 (sqrt x))) (sqrt x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(sqrt (* 2 (sqrt x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
2
#s(literal 2 binary64)
(sqrt x)
(sqrt.f64 x)
x
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(* (sqrt (* x (sqrt x))) (sqrt (* 2 (sqrt x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt (* x (sqrt x)))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(* x (sqrt x))
(*.f64 x (sqrt.f64 x))
x
(sqrt x)
(sqrt.f64 x)
(sqrt (* 2 (sqrt x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
2
#s(literal 2 binary64)
(* (sqrt (* (sqrt (* x (sqrt x))) 2)) (sqrt (* x (sqrt (sqrt x)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(sqrt (* (sqrt (* x (sqrt x))) 2))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(* (sqrt (* x (sqrt x))) 2)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt (* x (sqrt x)))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(* x (sqrt x))
(*.f64 x (sqrt.f64 x))
x
(sqrt x)
(sqrt.f64 x)
2
#s(literal 2 binary64)
(sqrt (* x (sqrt (sqrt x))))
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(* x (sqrt (sqrt x)))
(*.f64 x (sqrt.f64 (sqrt.f64 x)))
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (sqrt (sqrt x))) (sqrt x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(* (* 2 (sqrt x)) (sqrt (sqrt x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(* 2 (sqrt x))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
2
#s(literal 2 binary64)
(sqrt x)
(sqrt.f64 x)
x
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(* (sqrt (sqrt (sqrt x))) (sqrt x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt (sqrt (sqrt x)))
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (pow x 3/4)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
(sqrt (* (* 2 x) (sqrt (sqrt x))))
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)))
(* (* 2 x) (sqrt (sqrt x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(sqrt (pow x 3/4))
(sqrt.f64 (pow.f64 x #s(literal 3/4 binary64)))
(pow x 3/4)
(pow.f64 x #s(literal 3/4 binary64))
3/4
#s(literal 3/4 binary64)

localize163.0ms (1.1%)

Memory
-10.8MiB live, 209.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(sqrt.f64 (sqrt.f64 x))
accuracy99.6%
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
accuracy83.5%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
accuracy99.7%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
accuracy99.5%
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
accuracy99.4%
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
accuracy99.6%
(*.f64 x (sqrt.f64 (sqrt.f64 x)))
accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
accuracy83.5%
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
accuracy70.0%
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy99.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
accuracy99.8%
(*.f64 x (sqrt.f64 x))
accuracy99.4%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
accuracy70.0%
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy99.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
accuracy99.8%
(sqrt.f64 (sqrt.f64 x))
accuracy99.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
accuracy99.4%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
Samples
84.0ms256×0valid
Compiler

Compiled 230 to 30 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 18.0ms (41.6% of total)
ival-sqrt: 16.0ms (37% of total)
ival-pow: 9.0ms (20.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.2%)

Memory
11.8MiB live, 47.5MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#<alt (* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))>
#<alt (* (sqrt (* 2 (sqrt x))) (sqrt x))>
#<alt (sqrt (* 2 (sqrt x)))>
#<alt (* 2 (sqrt x))>
#<alt (* (sqrt (* x (sqrt x))) (sqrt (* 2 (sqrt x))))>
#<alt (sqrt (* x (sqrt x)))>
#<alt (* x (sqrt x))>
#<alt (sqrt x)>
#<alt (* (sqrt (* (sqrt (* x (sqrt x))) 2)) (sqrt (* x (sqrt (sqrt x)))))>
#<alt (sqrt (* (sqrt (* x (sqrt x))) 2))>
#<alt (* (sqrt (* x (sqrt x))) 2)>
#<alt (* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (sqrt (sqrt x))) (sqrt x)))>
#<alt (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))>
#<alt (* (* 2 (sqrt x)) (sqrt (sqrt x)))>
#<alt (* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (pow x 3/4)))>
#<alt (sqrt (* (* 2 x) (sqrt (sqrt x))))>
#<alt (* (* 2 x) (sqrt (sqrt x)))>
#<alt (* 2 x)>
#<alt (sqrt (sqrt x))>
#<alt (sqrt (* x (sqrt (sqrt x))))>
#<alt (* x (sqrt (sqrt x)))>
#<alt (* (sqrt (sqrt (sqrt x))) (sqrt x))>
Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<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 (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<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 (* (pow -1 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (* x (sqrt -2)))))>
#<alt (* -1 (* (pow -1 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (* x (sqrt -2)))))>
#<alt (* -1 (* (pow -1 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (* x (sqrt -2)))))>
#<alt (* -1 (* (pow -1 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (* x (sqrt -2)))))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (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 (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
Calls

66 calls:

TimeVariablePointExpression
21.0ms
x
@-inf
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (pow x 3/4)))
7.0ms
x
@-inf
(* (sqrt (sqrt (sqrt x))) (sqrt x))
1.0ms
x
@-inf
(* (sqrt (* 2 (sqrt x))) (sqrt x))
1.0ms
x
@-inf
(sqrt (* 2 (sqrt x)))
0.0ms
x
@0
(sqrt (* 2 (sqrt x)))

rewrite748.0ms (5.2%)

Memory
-18.4MiB live, 425.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 566×accelerator-lowering-fma.f32
6 566×accelerator-lowering-fma.f64
3 350×*-lowering-*.f32
3 350×*-lowering-*.f64
1 836×prod-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028145
182133
2266103
3113791
4571791
0813691
Stop Event
iter limit
node limit
Counts
22 → 941
Calls
Call 1
Inputs
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))
(* (sqrt (* 2 (sqrt x))) (sqrt x))
(sqrt (* 2 (sqrt x)))
(* 2 (sqrt x))
(* (sqrt (* x (sqrt x))) (sqrt (* 2 (sqrt x))))
(sqrt (* x (sqrt x)))
(* x (sqrt x))
(sqrt x)
(* (sqrt (* (sqrt (* x (sqrt x))) 2)) (sqrt (* x (sqrt (sqrt x)))))
(sqrt (* (sqrt (* x (sqrt x))) 2))
(* (sqrt (* x (sqrt x))) 2)
(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (sqrt (sqrt x))) (sqrt x)))
(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))
(* (* 2 (sqrt x)) (sqrt (sqrt x)))
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (pow x 3/4)))
(sqrt (* (* 2 x) (sqrt (sqrt x))))
(* (* 2 x) (sqrt (sqrt x)))
(* 2 x)
(sqrt (sqrt x))
(sqrt (* x (sqrt (sqrt x))))
(* x (sqrt (sqrt x)))
(* (sqrt (sqrt (sqrt x))) (sqrt x))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))))))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 4 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 4 binary64)) (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 4 binary64)) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.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)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x))))))))
(exp.f64 (fma.f64 #s(literal 3/4 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 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
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(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 #s(literal 5/8 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 5/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 5/2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 5/16 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5/8 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 5 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 5/8 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 5/16 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 5/4 binary64) (log.f64 x))))
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(pow.f64 x #s(literal 5/8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 5/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 5/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 5 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/16 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 10 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 5/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal 5/2 binary64) (log.f64 x))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 5/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 5/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 5/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 5/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 5/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 5/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 9/8 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 9/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))

simplify911.0ms (6.3%)

Memory
34.3MiB live, 968.5MiB allocated
Algorithm
egg-herbie
Rules
18 636×accelerator-lowering-fma.f32
18 636×accelerator-lowering-fma.f64
4 516×*-lowering-*.f32
4 516×*-lowering-*.f64
2 492×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0801768
11761768
24221740
37921740
412081740
520751740
628491740
731191740
833241740
935231740
1036001740
1146891740
1251091740
1352611740
1453031740
1553221740
1653421740
1753621740
1853831740
1953981740
2054131740
2154231740
2254921740
2355231740
2455261740
2555291740
2655321740
2755351740
2855381740
2955411740
3055441740
3155471740
3255501740
3355531740
3455561740
3555591740
3655621740
3755651740
3855681740
3966951740
087841740
Stop Event
iter limit
node limit
Counts
264 → 264
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 (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 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 (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 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 (* (pow -1 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (* x (sqrt -2)))))
(* -1 (* (pow -1 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (* x (sqrt -2)))))
(* -1 (* (pow -1 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (* x (sqrt -2)))))
(* -1 (* (pow -1 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (* x (sqrt -2)))))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (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)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
Outputs
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
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(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))

eval336.0ms (2.3%)

Memory
10.7MiB live, 774.9MiB allocated
Compiler

Compiled 40 421 to 3 998 computations (90.1% saved)

prune220.0ms (1.5%)

Memory
2.9MiB live, 446.3MiB allocated
Pruning

16 alts after pruning (5 fresh and 11 done)

PrunedKeptTotal
New2 19622 198
Fresh033
Picked145
Done077
Total2 197162 213
Accuracy
100.0%
Counts
2 213 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
83.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
99.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
99.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
99.0%
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
98.9%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
83.7%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
70.5%
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
70.5%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
70.1%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
39.8%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (sqrt.f64 (sqrt.f64 x)))
99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
55.5%
(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
55.5%
(sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
55.6%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 542 to 221 computations (59.2% saved)

regimes33.0ms (0.2%)

Memory
-17.7MiB live, 62.6MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 x x))))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
(*.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 (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)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
Calls

4 calls:

10.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
7.0ms
x
6.0ms
(*.f64 x x)
6.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
99.5%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
99.5%1(*.f64 x x)
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes6.0ms (0%)

Memory
15.6MiB live, 15.6MiB allocated
Accuracy

Total -28.2b remaining (-6742.9%)

Threshold costs -28.2b (-6742.9%)

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

4 calls:

1.0ms
x
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
1.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
99.3%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
99.3%1(*.f64 x x)
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify8.0ms (0.1%)

Memory
-23.8MiB live, 15.4MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Outputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))

soundness246.0ms (1.7%)

Memory
-4.8MiB live, 151.9MiB allocated
Rules
6 020×accelerator-lowering-fma.f32
6 020×accelerator-lowering-fma.f64
3 692×*-lowering-*.f32
3 692×*-lowering-*.f64
1 894×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0514
11413
24312
312012
457712
5394112
0819712
Stop Event
fuel
iter limit
node limit
Compiler

Compiled 25 to 18 computations (28% saved)

preprocess31.0ms (0.2%)

Memory
14.3MiB live, 52.8MiB allocated
Compiler

Compiled 70 to 50 computations (28.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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