sqrt C (should all be same)

Time bar (total: 13.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×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)

sample7.2s (52.3%)

Memory
28.1MiB live, 726.5MiB allocated
Samples
570.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 266.0ms
ival-sqrt: 144.0ms (54.2% of total)
ival-mult: 110.0ms (41.4% of total)
ival-true: 5.0ms (1.9% of total)
exact: 4.0ms (1.5% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain76.0ms (0.6%)

Memory
19.4MiB live, 96.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-4(-1.2304917388115378e-159)(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-rescue720
↳(*.f64 #s(literal 2 binary64) (*.f64 x x))overflow72
↳(*.f64 x x)overflow72
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))uflow-rescue510
↳(*.f64 #s(literal 2 binary64) (*.f64 x x))underflow51
↳(*.f64 x x)underflow51
Confusion
Predicted +Predicted -
+1234
-0129
Precision
1.0
Recall
0.968503937007874
Confusion?
Predicted +Predicted MaybePredicted -
+12304
-00129
Precision?
1.0
Recall?
0.968503937007874
Freqs
test
numberfreq
0133
1123
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
23.0ms512×0valid
Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (56.4% of total)
ival-sqrt: 3.0ms (28.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess35.0ms (0.3%)

Memory
-53.2MiB live, 15.6MiB allocated
Algorithm
1×egg-herbie
Rules
34×associate-*l*
32×associate-*r*
26×distribute-lft-neg-in
24×distribute-lft-in
24×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
12113
26313
314113
420413
522113
622313
056
086
1116
2146
0146
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
1×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×lower-*.f32
10×lower-*.f64
6×*-commutative
4×lift-*.f64
2×lift-sqrt.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0816
11116
21416
01416
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x

localize16.0ms (0.1%)

Memory
24.5MiB live, 24.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.00390625
(*.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy28.96781905948057
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Samples
10.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59.1% of total)
ival-sqrt: 2.0ms (39.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
-31.2MiB live, 7.1MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(sqrt (* 2 (* x x)))
1.0ms
x
@inf
(* 2 (* x x))
0.0ms
x
@inf
(sqrt (* 2 (* x x)))
0.0ms
x
@0
(* 2 (* x x))
0.0ms
x
@inf
(* x x)

simplify6.0ms (0%)

Memory
10.6MiB live, 10.6MiB allocated
Algorithm
1×egg-herbie
Rules
38×lower-*.f64
38×lower-fma.f64
38×lower-fma.f32
38×lower-*.f32
36×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite185.0ms (1.4%)

Memory
28.3MiB live, 302.1MiB allocated
Rules
6 020×lower-fma.f64
6 020×lower-fma.f32
3 692×lower-*.f32
3 688×lower-*.f64
1 894×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0514
0814
11713
24612
312312
458012
5391412
0817912
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 226
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #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 x (*.f64 #s(literal 2 binary64) 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 (pow.f64 (*.f64 #s(literal 2 binary64) (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 (pow.f64 (*.f64 #s(literal 2 binary64) (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 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) 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 x (*.f64 #s(literal 2 binary64) x)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (/.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) 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 x (*.f64 #s(literal 2 binary64) x)))))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) #s(literal 2 binary64))
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(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))) (sqrt.f64 x))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (*.f64 x (sqrt.f64 x)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (E.f64)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(fabs.f64 (*.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(sqrt.f64 (*.f64 x (*.f64 x (*.f64 x x))))
(neg.f64 (*.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 8 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 16 binary64))
(pow.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.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 4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 8 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) #s(literal 1/8 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (E.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(*.f64 x x)
(*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 x (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (fabs.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/2 binary64) (log.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (E.f64) (*.f64 #s(literal 7/4 binary64) (log.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (fabs.f64 (*.f64 x (*.f64 x (*.f64 x (sqrt.f64 x)))))))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.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 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/2 binary64) (log.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 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 (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 (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 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (*.f64 x x) (sqrt.f64 (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 (neg.f64 (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) (*.f64 x (sqrt.f64 (sqrt.f64 x))))) (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)))))
(*.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 (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))))))

eval59.0ms (0.4%)

Memory
-24.3MiB live, 51.5MiB allocated
Compiler

Compiled 3 673 to 729 computations (80.2% saved)

prune45.0ms (0.3%)

Memory
18.7MiB live, 100.4MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2539262
Fresh000
Picked011
Done000
Total25310263
Accuracy
100.0%
Counts
263 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(*.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))))
99.5%
(*.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)))))
83.5%
(*.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)))))
▶71.6%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
61.1%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
▶71.6%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
71.5%
(*.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))
▶99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓54.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 227 to 151 computations (33.5% saved)

simplify8.0ms (0.1%)

Memory
-26.9MiB live, 12.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
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))))
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
(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
(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
58×lower-*.f32
38×lower-*.f64
26×*-commutative
20×lift-*.f64
16×lift-sqrt.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022134
041129
154129
264129
369129
469129
069129
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(*.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.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 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))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
x
Outputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(*.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.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 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 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
x

localize108.0ms (0.8%)

Memory
-22.0MiB live, 123.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
accuracy0.1953125
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
accuracy0.3203125
(*.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))))
accuracy0.21484375
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
accuracy0.3483200195368841
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
accuracy11.032926360067608
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
accuracy18.477813149487787
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy0.10546875
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
accuracy0.19921875
(*.f64 x (sqrt.f64 x))
accuracy0.3912887695368841
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
accuracy18.477813149487787
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.390625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
accuracy0
(sqrt.f64 x)
accuracy0.3203125
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
Samples
54.0ms256×0valid
Compiler

Compiled 136 to 24 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sqrt: 17.0ms (50% of total)
ival-mult: 13.0ms (38.2% of total)
ival-pow: 3.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series188.0ms (1.4%)

Memory
42.3MiB live, 345.4MiB allocated
Counts
16 → 168
Calls
Call 1
Inputs
#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (patch (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (patch (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow 2 1/4) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor -inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor -inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor -inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor -inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
Calls

42 calls:

TimeVariablePointExpression
34.0ms
x
@0
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
33.0ms
x
@0
(* x (pow 2 1/4))
31.0ms
x
@0
(sqrt (* x (sqrt x)))
17.0ms
x
@-inf
(sqrt (* (* 2 x) (sqrt (sqrt x))))
16.0ms
x
@0
(sqrt (* 2 (sqrt x)))

simplify357.0ms (2.6%)

Memory
-5.1MiB live, 188.8MiB allocated
Algorithm
1×egg-herbie
Rules
3 532×lower-*.f64
3 532×lower-*.f32
3 468×lower-fma.f64
3 468×lower-fma.f32
2 812×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063920
1136920
2356916
3613916
4888916
51530916
61987916
72126916
82240916
92374916
102477916
112911916
123131916
133147916
143151916
153151916
163151916
173151916
183171916
193179916
203179916
213700916
225806916
236164916
246224916
256224916
266698916
276750916
286854916
296906916
306958916
316958916
327338916
337490916
347490916
08043916
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
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 (* (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)))
(* 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))
(* 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)
(* (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)))
Outputs
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(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))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 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))
(*.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))
(*.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))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow 2 1/4) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))

rewrite287.0ms (2.1%)

Memory
-10.3MiB live, 344.2MiB allocated
Rules
6 646×lower-*.f32
6 626×lower-*.f64
6 028×lower-fma.f64
6 028×lower-fma.f32
2 014×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02294
04178
18176
221161
379761
4404561
01086761
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 707
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (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)))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 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))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 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 1/4 binary64) (log.f64 #s(literal 4 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 4 binary64)) (log.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 (*.f64 x (sqrt.f64 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 (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 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.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 x #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))) #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 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) #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 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 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 #s(literal 1/4 binary64) (log.f64 #s(literal 2 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 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (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 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.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 (sqrt.f64 (sqrt.f64 x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.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 x #s(literal 4 binary64)) (*.f64 x (*.f64 x x))) #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 (*.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 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 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 (sqrt.f64 (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) 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 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 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 1/4 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
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(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 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 (*.f64 #s(literal 2 binary64) x) (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 #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 #s(literal 4 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 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 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (*.f64 x (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)))
(*.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 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.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 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (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 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.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 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

eval153.0ms (1.1%)

Memory
9.0MiB live, 282.8MiB allocated
Compiler

Compiled 18 958 to 1 849 computations (90.2% saved)

prune156.0ms (1.1%)

Memory
8.6MiB live, 218.0MiB allocated
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New1 24081 248
Fresh224
Picked145
Done011
Total1 243151 258
Accuracy
100.0%
Counts
1 258 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))
99.0%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
▶99.4%
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
▶99.6%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
▶99.1%
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
83.2%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
▶83.1%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓71.6%
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
61.1%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
✓71.6%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
▶71.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
99.1%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓54.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 312 to 210 computations (32.7% saved)

simplify7.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
cost-diff0
(pow.f64 x #s(literal 3/4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (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 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(sqrt.f64 (sqrt.f64 x))
cost-diff0
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (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
(pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
cost-diff0
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))
cost-diff0
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
Rules
104×lower-*.f32
80×lower-*.f64
42×*-commutative
24×lift-*.f64
22×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026173
047173
166173
290173
396173
096173
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))
#s(literal 2 binary64)
#s(literal 3/8 binary64)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
x
(pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))
#s(literal 2 binary64)
(*.f64 x (sqrt.f64 x))
x
(sqrt.f64 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 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(sqrt.f64 x)
Outputs
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) x))
(pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))
#s(literal 2 binary64)
#s(literal 3/8 binary64)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
x
(pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(*.f64 x (sqrt.f64 x))
x
(sqrt.f64 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 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (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 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(sqrt.f64 x)

localize97.0ms (0.7%)

Memory
-23.1MiB live, 172.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
accuracy0
(sqrt.f64 x)
accuracy0.10546875
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
accuracy0.3912887695368841
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
accuracy0.21484375
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
accuracy0.28353500976844204
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
accuracy0.3483200195368841
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
accuracy11.032926360067608
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
accuracy0.10546875
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
accuracy0.10546875
(sqrt.f64 (sqrt.f64 x))
accuracy0.28353500976844204
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
accuracy0.3912887695368841
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
accuracy0.10546875
(sqrt.f64 (sqrt.f64 x))
accuracy0.19921875
(*.f64 x (sqrt.f64 x))
accuracy0.35775375976844204
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
accuracy18.49790960429323
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))
accuracy0
(pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))
accuracy0
(pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
accuracy0.17578125
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
accuracy0.2890625
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
Samples
63.0ms256×0valid
Compiler

Compiled 175 to 28 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 17.0ms (44.5% of total)
ival-pow: 12.0ms (31.4% of total)
ival-sqrt: 9.0ms (23.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series79.0ms (0.6%)

Memory
26.4MiB live, 105.7MiB allocated
Counts
20 → 216
Calls
Call 1
Inputs
#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (patch (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (patch (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (patch (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt (* (pow 16 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/8) x) (taylor inf x) (#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/8) x) (taylor inf x) (#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/8) x) (taylor inf x) (#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/8) x) (taylor inf x) (#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/8) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/8) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/8) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 16 1/8) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (patch (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/8) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/8) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/8) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/8) x) (taylor 0 x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/8) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/8) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/8) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/8) x) (taylor inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/8) x) (taylor -inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/8) x) (taylor -inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/8) x) (taylor -inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/8) x) (taylor -inf x) (#s(alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (patch (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
Calls

54 calls:

TimeVariablePointExpression
17.0ms
x
@0
(* (pow 2 3/8) (* x (pow 2 1/8)))
13.0ms
x
@-inf
(* (pow x 3/4) (sqrt (* 2 (sqrt x))))
11.0ms
x
@inf
(pow x 3/4)
8.0ms
x
@-inf
(pow x 3/4)
7.0ms
x
@0
(* (sqrt (sqrt x)) (sqrt x))

simplify179.0ms (1.3%)

Memory
5.0MiB live, 156.3MiB allocated
Algorithm
1×egg-herbie
Rules
3 136×lower-fma.f64
3 136×lower-fma.f32
3 042×lower-*.f64
3 042×lower-*.f32
1 296×unsub-neg
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0831244
11841244
24851236
39611236
414671236
525891236
634121236
738301220
842021220
946341220
1053191220
1172851220
080071220
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 16 1/8) x)
(* (pow 2 1/8) x)
(* (pow 2 1/8) x)
(* (pow 2 1/8) x)
(* (pow 2 1/8) x)
(* (pow 2 1/8) x)
(* (pow 2 1/8) x)
(* (pow 2 1/8) x)
(* (pow 2 1/8) x)
(* (pow 2 1/8) x)
(* (pow 2 1/8) x)
(* (pow 2 1/8) x)
(* (pow 2 1/8) x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (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 (* (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)))
(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)))
(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 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)
(* 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 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (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)
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(* (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)))
Outputs
(* (pow 16 1/8) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(* (pow 16 1/8) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(* (pow 16 1/8) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(* (pow 16 1/8) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(* (pow 16 1/8) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(* (pow 16 1/8) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(* (pow 16 1/8) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(* (pow 16 1/8) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(* (pow 16 1/8) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(* (pow 16 1/8) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(* (pow 16 1/8) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(* (pow 16 1/8) x)
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x)
(* (pow 2 1/8) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/8) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/8) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/8) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/8) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/8) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/8) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/8) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/8) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/8) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/8) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/8) x)
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
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(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
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(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
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(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
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(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
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(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
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(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
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(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))

rewrite572.0ms (4.2%)

Memory
7.5MiB live, 325.6MiB allocated
Rules
6 734×lower-*.f32
6 712×lower-*.f64
6 268×lower-fma.f64
6 268×lower-fma.f32
2 010×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026126
047115
1106110
228679
395879
4488279
01053879
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 968
Calls
Call 1
Inputs
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))
(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(pow.f64 x #s(literal 3/4 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
Outputs
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))))
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.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 (*.f64 x (sqrt.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 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(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 #s(literal 4 binary64) (*.f64 x (*.f64 x x))) x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x))))) #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)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 x)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))))
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))))
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (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)))))
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))))
(sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (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 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))))
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (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 #s(literal 4 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x)))) #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))))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) x))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) 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 (*.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 (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (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 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 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 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) x) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (sqrt.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 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 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 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (sqrt.f64 (*.f64 (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 4 binary64) (*.f64 x (*.f64 x x))) #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 #s(literal 2 binary64) #s(literal 1/32 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/32 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/32 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/32 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)))))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)))
(*.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 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (*.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)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/32 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/32 binary64)))
(*.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 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/32 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 3/32 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (*.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(exp.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/32 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 16 binary64)) #s(literal 3/32 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 3/16 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/32 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 3/8 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 3/8 binary64)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal 3/32 binary64))
(pow.f64 (exp.f64 #s(literal 3/16 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 9/32 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 9/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/32 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
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(*.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 (*.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 (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 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (pow.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x x)) #s(literal 3/16 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)) #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 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (fabs.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x x)) #s(literal 3/16 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 (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 (*.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 3/16 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x x)) #s(literal 3/16 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 (*.f64 x (sqrt.f64 x))) #s(literal 3/16 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (fabs.f64 (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 3/16 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 5/4 binary64)))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/16 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)) #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 x)) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (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 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x x)) #s(literal 3/16 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 3/16 binary64))) (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))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 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) (sqrt.f64 x))))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

eval276.0ms (2%)

Memory
-4.9MiB live, 495.2MiB allocated
Compiler

Compiled 30 531 to 2 676 computations (91.2% saved)

prune181.0ms (1.3%)

Memory
14.9MiB live, 436.0MiB allocated
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New1 83931 842
Fresh325
Picked145
Done145
Total1 844131 857
Accuracy
100.0%
Counts
1 857 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
✓99.4%
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓99.6%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
▶82.9%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
▶99.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
▶99.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓99.1%
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
▶61.1%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
✓71.6%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓71.5%
(*.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))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓54.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 223 to 147 computations (34.1% saved)

simplify7.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
cost-diff0
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
cost-diff12288
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
cost-diff0
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
cost-diff0
(*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))
cost-diff0
(sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
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
(*.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 (sqrt.f64 x))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
Rules
120×lower-*.f32
92×lower-*.f64
46×*-commutative
28×lift-*.f64
26×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028225
053225
175216
2104211
3117211
0117211
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.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))))
(sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))
x
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (sqrt.f64 x))
#s(literal 2 binary64)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
x
Outputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.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 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))
x
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
#s(literal 2 binary64)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) 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 (sqrt.f64 x)))))
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
x

localize103.0ms (0.8%)

Memory
-40.3MiB live, 225.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
accuracy0.390625
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
accuracy1.0
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy0.21484375
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))
accuracy0.35775375976844204
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
accuracy0.38900375976844204
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy11.032926360067608
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)))
accuracy0.19921875
(*.f64 x (sqrt.f64 x))
accuracy0.3600387695368841
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
accuracy18.477813149487798
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy25.06884470704171
(sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
accuracy0
(sqrt.f64 x)
accuracy0.10546875
(sqrt.f64 (sqrt.f64 x))
accuracy0.27962875976844204
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
accuracy0.35775375976844204
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
accuracy0.1171875
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
accuracy0.28353500976844204
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
accuracy0.336601269536884
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy0.3483200195368841
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
Samples
54.0ms256×0valid
Compiler

Compiled 227 to 30 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 18.0ms (47.6% of total)
ival-sqrt: 14.0ms (37% of total)
ival-pow: 3.0ms (7.9% of total)
ival-pow2: 2.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series108.0ms (0.8%)

Memory
1.4MiB live, 154.0MiB allocated
Counts
22 → 240
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) (patch (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #<representation binary64>) () ())
#s(alt (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (patch (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (patch (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/8) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/8) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/8) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/8) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/8) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/8) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/8) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/8) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/8) (pow (* 1 (pow (sqrt -1) 3)) 1/4)) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/8) (pow (* 1 (pow (sqrt -1) 3)) 1/4)) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/8) (pow (* 1 (pow (sqrt -1) 3)) 1/4)) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/8) (pow (* 1 (pow (sqrt -1) 3)) 1/4)) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 x (sqrt.f64 x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
Calls

60 calls:

TimeVariablePointExpression
52.0ms
x
@-inf
(sqrt (* (sqrt (sqrt x)) (sqrt x)))
19.0ms
x
@-inf
(sqrt (* x (sqrt (* x (sqrt x)))))
10.0ms
x
@0
(sqrt (* x (sqrt (* x (sqrt x)))))
7.0ms
x
@-inf
(* (sqrt (* 2 x)) (sqrt (sqrt (sqrt x))))
7.0ms
x
@inf
(sqrt (* x (sqrt (* x (sqrt x)))))

simplify327.0ms (2.4%)

Memory
23.1MiB live, 178.1MiB allocated
Algorithm
1×egg-herbie
Rules
3 496×lower-*.f64
3 496×lower-*.f32
3 368×lower-fma.f64
3 368×lower-fma.f32
2 400×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0811556
11711556
23991540
36611540
49231540
514991540
618411540
719561540
820691540
922041540
1022861540
1127101540
1229641540
1330521540
1431091540
1531611540
1631981540
1732131540
1832171540
1932171540
2033131540
2133531540
2233531540
2336661540
2449101540
2565531540
2669651540
2769651540
2873851540
2974451540
3075951540
3176251540
3276251540
3376251540
3476251540
083541540
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
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))))
(* (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)))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (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))))
(* 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 7)) 1/8)
(pow (* 1 (pow x 7)) 1/8)
(pow (* 1 (pow x 7)) 1/8)
(pow (* 1 (pow x 7)) 1/8)
(pow (* 1 (pow x 7)) 1/8)
(pow (* 1 (pow x 7)) 1/8)
(pow (* 1 (pow x 7)) 1/8)
(pow (* 1 (pow x 7)) 1/8)
(* (pow (* -1 (pow x 7)) 1/8) (pow (* 1 (pow (sqrt -1) 7)) 1/4))
(* (pow (* -1 (pow x 7)) 1/8) (pow (* 1 (pow (sqrt -1) 7)) 1/4))
(* (pow (* -1 (pow x 7)) 1/8) (pow (* 1 (pow (sqrt -1) 7)) 1/4))
(* (pow (* -1 (pow x 7)) 1/8) (pow (* 1 (pow (sqrt -1) 7)) 1/4))
(pow (* 1 (pow x 7)) 1/4)
(pow (* 1 (pow x 7)) 1/4)
(pow (* 1 (pow x 7)) 1/4)
(pow (* 1 (pow x 7)) 1/4)
(pow (* 1 (pow x 7)) 1/4)
(pow (* 1 (pow x 7)) 1/4)
(pow (* 1 (pow x 7)) 1/4)
(pow (* 1 (pow x 7)) 1/4)
(* -1 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* -1 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* -1 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* -1 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(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)))
(* 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))))
(* (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))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (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)))
(pow (* 1 (pow x 3)) 1/8)
(pow (* 1 (pow x 3)) 1/8)
(pow (* 1 (pow x 3)) 1/8)
(pow (* 1 (pow x 3)) 1/8)
(pow (* 1 (pow x 3)) 1/8)
(pow (* 1 (pow x 3)) 1/8)
(pow (* 1 (pow x 3)) 1/8)
(pow (* 1 (pow x 3)) 1/8)
(* (pow (* -1 (pow x 3)) 1/8) (pow (* 1 (pow (sqrt -1) 3)) 1/4))
(* (pow (* -1 (pow x 3)) 1/8) (pow (* 1 (pow (sqrt -1) 3)) 1/4))
(* (pow (* -1 (pow x 3)) 1/8) (pow (* 1 (pow (sqrt -1) 3)) 1/4))
(* (pow (* -1 (pow x 3)) 1/8) (pow (* 1 (pow (sqrt -1) 3)) 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)
(* (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)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt (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)))
Outputs
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 7)) 1/8)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64))
(* (pow (* -1 (pow x 7)) 1/8) (pow (* 1 (pow (sqrt -1) 7)) 1/4))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (pow (* 1 (pow (sqrt -1) 7)) 1/4))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (pow (* 1 (pow (sqrt -1) 7)) 1/4))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (pow (* 1 (pow (sqrt -1) 7)) 1/4))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(pow (* 1 (pow x 7)) 1/4)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 7)) 1/4)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 7)) 1/4)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 7)) 1/4)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 7)) 1/4)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 7)) 1/4)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 7)) 1/4)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 7)) 1/4)
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64))
(* -1 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(neg.f64 (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(neg.f64 (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(neg.f64 (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(neg.f64 (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 x (neg.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(pow (* 1 (pow x 3)) 1/8)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 3)) 1/8)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 3)) 1/8)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 3)) 1/8)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 3)) 1/8)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 3)) 1/8)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 3)) 1/8)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 3)) 1/8)
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(* (pow (* -1 (pow x 3)) 1/8) (pow (* 1 (pow (sqrt -1) 3)) 1/4))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/8) (pow (* 1 (pow (sqrt -1) 3)) 1/4))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/8) (pow (* 1 (pow (sqrt -1) 3)) 1/4))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/8) (pow (* 1 (pow (sqrt -1) 3)) 1/4))
(*.f64 (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #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)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 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)
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt (pow x 3))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x (*.f64 x x)))

rewrite323.0ms (2.4%)

Memory
-0.6MiB live, 310.1MiB allocated
Rules
7 056×lower-fma.f64
7 056×lower-fma.f32
3 760×lower-*.f32
3 734×lower-*.f64
1 640×lower-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028170
053165
1119115
231384
3151472
4612772
0807072
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 077
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (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))))
(sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 x (sqrt.f64 x))
Outputs
(exp.f64 (log.f64 (*.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)))
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 4 binary64)))
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(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(fabs.f64 (sqrt.f64 x))
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(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))
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(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
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(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
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(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
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(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
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(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))) (fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/32 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/32 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
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(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(*.f64 (*.f64 (pow.f64 x #s(literal 7/32 binary64)) (pow.f64 x #s(literal 1/32 binary64))) (*.f64 (pow.f64 x #s(literal 7/32 binary64)) (pow.f64 x #s(literal 1/32 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/32 binary64)) (pow.f64 x #s(literal 7/32 binary64))) (*.f64 (pow.f64 x #s(literal 1/32 binary64)) (pow.f64 x #s(literal 7/32 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (log.f64 x)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))) #s(literal 4 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))
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(*.f64 (sqrt.f64 x) x)
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(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))) x))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) x))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 3/2 binary64)))
(*.f64 x (sqrt.f64 x))
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(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) x) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))) x) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 3/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)) #s(literal 3/2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x)) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/2 binary64)))

eval336.0ms (2.5%)

Memory
57.2MiB live, 509.5MiB allocated
Compiler

Compiled 46 725 to 4 195 computations (91% saved)

prune862.0ms (6.3%)

Memory
-73.0MiB live, 499.5MiB allocated
Pruning

16 alts after pruning (4 fresh and 12 done)

PrunedKeptTotal
New2 29342 297
Fresh000
Picked055
Done178
Total2 294162 310
Accuracy
100.0%
Counts
2 310 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.0%
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
99.4%
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
✓99.4%
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
98.9%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
✓82.9%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
99.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 x #s(literal 3/8 binary64)))
✓99.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓99.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓99.1%
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓61.1%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
✓71.6%
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓71.5%
(*.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))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
20.3%
(*.f64 x #s(literal 1 binary64))
✓54.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 482 to 210 computations (56.4% saved)

regimes58.0ms (0.4%)

Memory
23.1MiB live, 61.8MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1 binary64))
(*.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))
(*.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) x)) (*.f64 (sqrt.f64 (sqrt.f64 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 (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 (*.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) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.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 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 x #s(literal 3/8 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 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #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)))))
Outputs
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
Calls

4 calls:

37.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
7.0ms
x
6.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
6.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
99.6%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
99.6%1(*.f64 x x)
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes62.0ms (0.5%)

Memory
-19.8MiB live, 57.6MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1 binary64))
(*.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))
(*.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) x)) (*.f64 (sqrt.f64 (sqrt.f64 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 (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 (*.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) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.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 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 x #s(literal 3/8 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))))
Outputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
Calls

4 calls:

27.0ms
(*.f64 x x)
23.0ms
x
6.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
6.0ms
(sqrt.f64 (*.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)

regimes14.0ms (0.1%)

Memory
-23.3MiB live, 28.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1 binary64))
(*.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:

9.0ms
x
2.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
2.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
99.4%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
99.4%1(*.f64 x x)
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes5.0ms (0%)

Memory
13.4MiB live, 13.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 1 binary64))
Outputs
(*.f64 x #s(literal 1 binary64))
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
20.3%1x
20.3%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
20.3%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
20.3%1(*.f64 x x)
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify5.0ms (0%)

Memory
11.0MiB live, 11.0MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
2×1-exp_binary64
2×*-rgt-identity_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01621
12521
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.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)))
(*.f64 x #s(literal 1 binary64))
x

soundness1.2s (8.6%)

Memory
-4.5MiB live, 587.2MiB allocated
Rules
7 056×lower-fma.f64
7 056×lower-fma.f32
6 734×lower-*.f32
6 712×lower-*.f64
6 646×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028170
053165
1119115
231384
3151472
4612772
0807072
026126
047115
1106110
228679
395879
4488279
01053879
02294
04178
18176
221161
379761
4404561
01086761
0514
0814
11713
24612
312312
458012
5391412
0817912
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 142 to 78 computations (45.1% saved)

preprocess51.0ms (0.4%)

Memory
8.6MiB live, 127.9MiB allocated
Compiler

Compiled 118 to 86 computations (27.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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